TSTP Solution File: ALG165+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : ALG165+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 : n016.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 16:39:33 EDT 2023
% Result : Theorem 23.86s 4.14s
% Output : Proof 183.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG165+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.35 % Computer : n016.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 05:21:44 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.61 ________ _____
% 0.21/0.61 ___ __ \_________(_)________________________________
% 0.21/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.21/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.21/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.21/0.61
% 0.21/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.21/0.62 (2023-06-19)
% 0.21/0.62
% 0.21/0.62 (c) Philipp Rümmer, 2009-2023
% 0.21/0.62 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.21/0.62 Amanda Stjerna.
% 0.21/0.62 Free software under BSD-3-Clause.
% 0.21/0.62
% 0.21/0.62 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.21/0.62
% 0.21/0.62 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.21/0.63 Running up to 7 provers in parallel.
% 0.21/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.21/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.21/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.21/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.21/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.21/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.21/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 4.41/1.51 Prover 1: Preprocessing ...
% 4.41/1.51 Prover 4: Preprocessing ...
% 4.41/1.55 Prover 6: Preprocessing ...
% 4.41/1.55 Prover 0: Preprocessing ...
% 4.41/1.55 Prover 3: Preprocessing ...
% 4.41/1.55 Prover 5: Preprocessing ...
% 4.41/1.56 Prover 2: Preprocessing ...
% 9.05/2.09 Prover 2: Constructing countermodel ...
% 9.05/2.10 Prover 1: Constructing countermodel ...
% 9.05/2.10 Prover 4: Constructing countermodel ...
% 9.05/2.10 Prover 3: Constructing countermodel ...
% 9.05/2.13 Prover 6: Constructing countermodel ...
% 9.05/2.14 Prover 0: Constructing countermodel ...
% 12.33/2.55 Prover 5: Constructing countermodel ...
% 23.86/4.13 Prover 6: proved (3489ms)
% 23.86/4.13
% 23.86/4.14 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 23.86/4.14
% 23.86/4.14 Prover 0: stopped
% 23.86/4.15 Prover 2: stopped
% 24.59/4.16 Prover 5: stopped
% 24.59/4.18 Prover 3: stopped
% 24.59/4.18 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 24.59/4.18 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 24.59/4.18 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 24.59/4.18 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 24.59/4.18 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 27.01/4.50 Prover 7: Preprocessing ...
% 27.01/4.52 Prover 8: Preprocessing ...
% 27.01/4.54 Prover 10: Preprocessing ...
% 27.67/4.60 Prover 11: Preprocessing ...
% 27.67/4.61 Prover 13: Preprocessing ...
% 27.67/4.61 Prover 8: Constructing countermodel ...
% 28.26/4.66 Prover 7: Constructing countermodel ...
% 28.26/4.68 Prover 10: Constructing countermodel ...
% 29.98/4.87 Prover 13: Constructing countermodel ...
% 29.98/4.89 Prover 11: Constructing countermodel ...
% 64.84/9.56 Prover 13: stopped
% 64.84/9.57 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 67.04/9.73 Prover 16: Preprocessing ...
% 67.71/9.84 Prover 16: Constructing countermodel ...
% 109.82/15.41 Prover 16: stopped
% 109.82/15.41 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 111.08/15.51 Prover 19: Preprocessing ...
% 112.48/15.72 Prover 19: Constructing countermodel ...
% 114.70/15.98 Prover 1: stopped
% 155.56/22.00 Prover 19: stopped
% 172.28/24.95 Prover 4: Found proof (size 58954)
% 172.28/24.95 Prover 4: proved (24315ms)
% 172.28/24.96 Prover 10: stopped
% 172.28/24.96 Prover 11: stopped
% 172.28/24.96 Prover 8: stopped
% 172.28/24.96 Prover 7: stopped
% 172.28/24.96
% 172.28/24.96 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 172.28/24.96
% 174.18/25.61 % SZS output start Proof for theBenchmark
% 174.18/25.80 Assumptions after simplification:
% 174.18/25.80 ---------------------------------
% 174.18/25.80
% 174.18/25.80 (ax1)
% 174.66/25.85 $i(e4) & $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ?
% 174.66/25.85 [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i]
% 174.66/25.85 : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 174.66/25.86 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ?
% 174.66/25.86 [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ?
% 174.66/25.86 [v23: $i] : ? [v24: $i] : (op(e4, e4) = v24 & op(e4, e3) = v23 & op(e4, e2) =
% 174.66/25.86 v22 & op(e4, e1) = v21 & op(e4, e0) = v20 & op(e3, e4) = v19 & op(e3, e3) =
% 174.66/25.86 v18 & op(e3, e2) = v17 & op(e3, e1) = v16 & op(e3, e0) = v15 & op(e2, e4) =
% 174.66/25.86 v14 & op(e2, e3) = v13 & op(e2, e2) = v12 & op(e2, e1) = v11 & op(e2, e0) =
% 174.66/25.86 v10 & op(e1, e4) = v9 & op(e1, e3) = v8 & op(e1, e2) = v7 & op(e1, e1) = v6
% 174.66/25.86 & op(e1, e0) = v5 & op(e0, e4) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 &
% 174.66/25.86 op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v24) & $i(v23) & $i(v22) & $i(v21) &
% 174.66/25.86 $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) &
% 174.66/25.86 $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 174.66/25.86 $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v24 = e4 | v24 = e3 |
% 174.66/25.86 v24 = e2 | v24 = e1 | v24 = e0) & (v23 = e4 | v23 = e3 | v23 = e2 | v23 =
% 174.66/25.86 e1 | v23 = e0) & (v22 = e4 | v22 = e3 | v22 = e2 | v22 = e1 | v22 = e0) &
% 174.66/25.86 (v21 = e4 | v21 = e3 | v21 = e2 | v21 = e1 | v21 = e0) & (v20 = e4 | v20 =
% 174.66/25.86 e3 | v20 = e2 | v20 = e1 | v20 = e0) & (v19 = e4 | v19 = e3 | v19 = e2 |
% 174.66/25.86 v19 = e1 | v19 = e0) & (v18 = e4 | v18 = e3 | v18 = e2 | v18 = e1 | v18 =
% 174.66/25.86 e0) & (v17 = e4 | v17 = e3 | v17 = e2 | v17 = e1 | v17 = e0) & (v16 = e4 |
% 174.66/25.86 v16 = e3 | v16 = e2 | v16 = e1 | v16 = e0) & (v15 = e4 | v15 = e3 | v15 =
% 174.66/25.86 e2 | v15 = e1 | v15 = e0) & (v14 = e4 | v14 = e3 | v14 = e2 | v14 = e1 |
% 174.66/25.86 v14 = e0) & (v13 = e4 | v13 = e3 | v13 = e2 | v13 = e1 | v13 = e0) & (v12
% 174.66/25.86 = e4 | v12 = e3 | v12 = e2 | v12 = e1 | v12 = e0) & (v11 = e4 | v11 = e3 |
% 174.66/25.86 v11 = e2 | v11 = e1 | v11 = e0) & (v10 = e4 | v10 = e3 | v10 = e2 | v10 =
% 174.66/25.86 e1 | v10 = e0) & (v9 = e4 | v9 = e3 | v9 = e2 | v9 = e1 | v9 = e0) & (v8 =
% 174.66/25.86 e4 | v8 = e3 | v8 = e2 | v8 = e1 | v8 = e0) & (v7 = e4 | v7 = e3 | v7 = e2
% 174.66/25.86 | v7 = e1 | v7 = e0) & (v6 = e4 | v6 = e3 | v6 = e2 | v6 = e1 | v6 = e0) &
% 174.66/25.86 (v5 = e4 | v5 = e3 | v5 = e2 | v5 = e1 | v5 = e0) & (v4 = e4 | v4 = e3 | v4
% 174.66/25.86 = e2 | v4 = e1 | v4 = e0) & (v3 = e4 | v3 = e3 | v3 = e2 | v3 = e1 | v3 =
% 174.66/25.86 e0) & (v2 = e4 | v2 = e3 | v2 = e2 | v2 = e1 | v2 = e0) & (v1 = e4 | v1 =
% 174.66/25.86 e3 | v1 = e2 | v1 = e1 | v1 = e0) & (v0 = e4 | v0 = e3 | v0 = e2 | v0 = e1
% 174.66/25.86 | v0 = e0))
% 174.66/25.86
% 174.66/25.86 (ax2)
% 174.94/25.89 $i(e4) & $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ?
% 174.94/25.89 [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i]
% 174.94/25.89 : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 174.94/25.89 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ?
% 174.94/25.89 [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ?
% 174.94/25.89 [v23: $i] : ? [v24: $i] : (op(e4, e4) = v24 & op(e4, e3) = v23 & op(e4, e2) =
% 174.94/25.89 v20 & op(e4, e1) = v15 & op(e4, e0) = v8 & op(e3, e4) = v22 & op(e3, e3) =
% 174.94/25.89 v21 & op(e3, e2) = v19 & op(e3, e1) = v14 & op(e3, e0) = v7 & op(e2, e4) =
% 174.94/25.89 v18 & op(e2, e3) = v17 & op(e2, e2) = v16 & op(e2, e1) = v13 & op(e2, e0) =
% 174.94/25.89 v6 & op(e1, e4) = v12 & op(e1, e3) = v11 & op(e1, e2) = v10 & op(e1, e1) =
% 174.94/25.89 v9 & op(e1, e0) = v5 & op(e0, e4) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 &
% 174.94/25.89 op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v24) & $i(v23) & $i(v22) & $i(v21) &
% 174.94/25.89 $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) &
% 174.94/25.89 $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 174.94/25.89 $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v24 = e4 | v23 = e4 |
% 174.94/25.89 v20 = e4 | v15 = e4 | v8 = e4) & (v24 = e4 | v22 = e4 | v18 = e4 | v12 =
% 174.94/25.89 e4 | v4 = e4) & (v24 = e3 | v23 = e3 | v20 = e3 | v15 = e3 | v8 = e3) &
% 174.94/25.89 (v24 = e3 | v22 = e3 | v18 = e3 | v12 = e3 | v4 = e3) & (v24 = e2 | v23 = e2
% 174.94/25.89 | v20 = e2 | v15 = e2 | v8 = e2) & (v24 = e2 | v22 = e2 | v18 = e2 | v12 =
% 174.94/25.89 e2 | v4 = e2) & (v24 = e1 | v23 = e1 | v20 = e1 | v15 = e1 | v8 = e1) &
% 174.94/25.89 (v24 = e1 | v22 = e1 | v18 = e1 | v12 = e1 | v4 = e1) & (v24 = e0 | v23 = e0
% 174.94/25.89 | v20 = e0 | v15 = e0 | v8 = e0) & (v24 = e0 | v22 = e0 | v18 = e0 | v12 =
% 174.94/25.89 e0 | v4 = e0) & (v23 = e4 | v21 = e4 | v17 = e4 | v11 = e4 | v3 = e4) &
% 174.94/25.89 (v23 = e3 | v21 = e3 | v17 = e3 | v11 = e3 | v3 = e3) & (v23 = e2 | v21 = e2
% 174.94/25.89 | v17 = e2 | v11 = e2 | v3 = e2) & (v23 = e1 | v21 = e1 | v17 = e1 | v11 =
% 174.94/25.89 e1 | v3 = e1) & (v23 = e0 | v21 = e0 | v17 = e0 | v11 = e0 | v3 = e0) &
% 174.94/25.89 (v22 = e4 | v21 = e4 | v19 = e4 | v14 = e4 | v7 = e4) & (v22 = e3 | v21 = e3
% 174.94/25.89 | v19 = e3 | v14 = e3 | v7 = e3) & (v22 = e2 | v21 = e2 | v19 = e2 | v14 =
% 174.94/25.89 e2 | v7 = e2) & (v22 = e1 | v21 = e1 | v19 = e1 | v14 = e1 | v7 = e1) &
% 174.94/25.89 (v22 = e0 | v21 = e0 | v19 = e0 | v14 = e0 | v7 = e0) & (v20 = e4 | v19 = e4
% 174.94/25.89 | v16 = e4 | v10 = e4 | v2 = e4) & (v20 = e3 | v19 = e3 | v16 = e3 | v10 =
% 174.94/25.89 e3 | v2 = e3) & (v20 = e2 | v19 = e2 | v16 = e2 | v10 = e2 | v2 = e2) &
% 174.94/25.89 (v20 = e1 | v19 = e1 | v16 = e1 | v10 = e1 | v2 = e1) & (v20 = e0 | v19 = e0
% 174.94/25.89 | v16 = e0 | v10 = e0 | v2 = e0) & (v18 = e4 | v17 = e4 | v16 = e4 | v13 =
% 174.94/25.89 e4 | v6 = e4) & (v18 = e3 | v17 = e3 | v16 = e3 | v13 = e3 | v6 = e3) &
% 174.94/25.89 (v18 = e2 | v17 = e2 | v16 = e2 | v13 = e2 | v6 = e2) & (v18 = e1 | v17 = e1
% 174.94/25.89 | v16 = e1 | v13 = e1 | v6 = e1) & (v18 = e0 | v17 = e0 | v16 = e0 | v13 =
% 174.94/25.89 e0 | v6 = e0) & (v15 = e4 | v14 = e4 | v13 = e4 | v9 = e4 | v1 = e4) &
% 174.94/25.89 (v15 = e3 | v14 = e3 | v13 = e3 | v9 = e3 | v1 = e3) & (v15 = e2 | v14 = e2
% 174.94/25.89 | v13 = e2 | v9 = e2 | v1 = e2) & (v15 = e1 | v14 = e1 | v13 = e1 | v9 =
% 174.94/25.89 e1 | v1 = e1) & (v15 = e0 | v14 = e0 | v13 = e0 | v9 = e0 | v1 = e0) &
% 174.94/25.89 (v12 = e4 | v11 = e4 | v10 = e4 | v9 = e4 | v5 = e4) & (v12 = e3 | v11 = e3
% 174.94/25.89 | v10 = e3 | v9 = e3 | v5 = e3) & (v12 = e2 | v11 = e2 | v10 = e2 | v9 =
% 174.94/25.89 e2 | v5 = e2) & (v12 = e1 | v11 = e1 | v10 = e1 | v9 = e1 | v5 = e1) &
% 174.94/25.89 (v12 = e0 | v11 = e0 | v10 = e0 | v9 = e0 | v5 = e0) & (v8 = e4 | v7 = e4 |
% 174.94/25.89 v6 = e4 | v5 = e4 | v0 = e4) & (v8 = e3 | v7 = e3 | v6 = e3 | v5 = e3 | v0
% 174.94/25.89 = e3) & (v8 = e2 | v7 = e2 | v6 = e2 | v5 = e2 | v0 = e2) & (v8 = e1 | v7
% 174.94/25.89 = e1 | v6 = e1 | v5 = e1 | v0 = e1) & (v4 = e4 | v3 = e4 | v2 = e4 | v1 =
% 174.94/25.89 e4 | v0 = e4) & (v4 = e3 | v3 = e3 | v2 = e3 | v1 = e3 | v0 = e3) & (v4 =
% 174.94/25.89 e2 | v3 = e2 | v2 = e2 | v1 = e2 | v0 = e2) & (v4 = e1 | v3 = e1 | v2 = e1
% 174.94/25.89 | v1 = e1 | v0 = e1) & (v0 = e0 | ((v8 = e0 | v7 = e0 | v6 = e0 | v5 = e0)
% 174.94/25.89 & (v4 = e0 | v3 = e0 | v2 = e0 | v1 = e0))))
% 174.94/25.89
% 174.94/25.89 (ax3)
% 174.94/25.90 $i(e4) & $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ?
% 174.94/25.90 [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i]
% 174.94/25.90 : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 174.94/25.90 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ?
% 174.94/25.90 [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ?
% 174.94/25.90 [v23: $i] : ? [v24: $i] : (op(v24, v24) = e4 & op(v23, v22) = e4 & op(v22,
% 174.94/25.90 v23) = e3 & op(v21, v21) = e3 & op(v20, v19) = e4 & op(v19, v20) = e2 &
% 174.94/25.90 op(v18, v17) = e3 & op(v17, v18) = e2 & op(v16, v16) = e2 & op(v15, v14) =
% 174.94/25.90 e4 & op(v14, v15) = e1 & op(v13, v12) = e3 & op(v12, v13) = e1 & op(v11,
% 174.94/25.90 v10) = e2 & op(v10, v11) = e1 & op(v9, v9) = e1 & op(v8, v7) = e4 & op(v7,
% 174.94/25.90 v8) = e0 & op(v6, v5) = e3 & op(v5, v6) = e0 & op(v4, v3) = e2 & op(v3,
% 174.94/25.90 v4) = e0 & op(v2, v1) = e1 & op(v1, v2) = e0 & op(v0, v0) = e0 & op(e4,
% 174.94/25.90 e4) = v24 & op(e4, e3) = v22 & op(e4, e2) = v19 & op(e4, e1) = v14 &
% 174.94/25.90 op(e4, e0) = v7 & op(e3, e4) = v23 & op(e3, e3) = v21 & op(e3, e2) = v17 &
% 174.94/25.90 op(e3, e1) = v12 & op(e3, e0) = v5 & op(e2, e4) = v20 & op(e2, e3) = v18 &
% 174.94/25.90 op(e2, e2) = v16 & op(e2, e1) = v10 & op(e2, e0) = v3 & op(e1, e4) = v15 &
% 174.94/25.90 op(e1, e3) = v13 & op(e1, e2) = v11 & op(e1, e1) = v9 & op(e1, e0) = v1 &
% 174.94/25.90 op(e0, e4) = v8 & op(e0, e3) = v6 & op(e0, e2) = v4 & op(e0, e1) = v2 &
% 174.94/25.90 op(e0, e0) = v0 & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19)
% 174.94/25.90 & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) &
% 174.94/25.90 $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 174.94/25.90 $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 174.94/25.90
% 174.94/25.90 (ax4)
% 174.94/25.92 $i(e4) & $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ?
% 174.94/25.92 [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i]
% 174.94/25.92 : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 174.94/25.92 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ?
% 174.94/25.92 [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ?
% 174.94/25.92 [v23: $i] : ? [v24: $i] : ( ~ (v24 = v23) & ~ (v24 = v22) & ~ (v24 = v21) &
% 174.94/25.92 ~ (v24 = v20) & ~ (v24 = v19) & ~ (v24 = v14) & ~ (v24 = v9) & ~ (v24 =
% 174.94/25.92 v4) & ~ (v23 = v22) & ~ (v23 = v21) & ~ (v23 = v20) & ~ (v23 = v18) &
% 174.94/25.92 ~ (v23 = v13) & ~ (v23 = v8) & ~ (v23 = v3) & ~ (v22 = v21) & ~ (v22 =
% 174.94/25.92 v20) & ~ (v22 = v17) & ~ (v22 = v12) & ~ (v22 = v7) & ~ (v22 = v2) &
% 174.94/25.92 ~ (v21 = v20) & ~ (v21 = v16) & ~ (v21 = v11) & ~ (v21 = v6) & ~ (v21 =
% 174.94/25.92 v1) & ~ (v20 = v15) & ~ (v20 = v10) & ~ (v20 = v5) & ~ (v20 = v0) & ~
% 174.94/25.92 (v19 = v18) & ~ (v19 = v17) & ~ (v19 = v16) & ~ (v19 = v15) & ~ (v19 =
% 174.94/25.92 v14) & ~ (v19 = v9) & ~ (v19 = v4) & ~ (v18 = v17) & ~ (v18 = v16) &
% 174.94/25.92 ~ (v18 = v15) & ~ (v18 = v13) & ~ (v18 = v8) & ~ (v18 = v3) & ~ (v17 =
% 174.94/25.92 v16) & ~ (v17 = v15) & ~ (v17 = v12) & ~ (v17 = v7) & ~ (v17 = v2) &
% 174.94/25.92 ~ (v16 = v15) & ~ (v16 = v11) & ~ (v16 = v6) & ~ (v16 = v1) & ~ (v15 =
% 174.94/25.92 v10) & ~ (v15 = v5) & ~ (v15 = v0) & ~ (v14 = v13) & ~ (v14 = v12) &
% 174.94/25.92 ~ (v14 = v11) & ~ (v14 = v10) & ~ (v14 = v9) & ~ (v14 = v4) & ~ (v13 =
% 174.94/25.92 v12) & ~ (v13 = v11) & ~ (v13 = v10) & ~ (v13 = v8) & ~ (v13 = v3) &
% 174.94/25.92 ~ (v12 = v11) & ~ (v12 = v10) & ~ (v12 = v7) & ~ (v12 = v2) & ~ (v11 =
% 174.94/25.92 v10) & ~ (v11 = v6) & ~ (v11 = v1) & ~ (v10 = v5) & ~ (v10 = v0) & ~
% 174.94/25.92 (v9 = v8) & ~ (v9 = v7) & ~ (v9 = v6) & ~ (v9 = v5) & ~ (v9 = v4) & ~
% 174.94/25.92 (v8 = v7) & ~ (v8 = v6) & ~ (v8 = v5) & ~ (v8 = v3) & ~ (v7 = v6) & ~
% 174.94/25.92 (v7 = v5) & ~ (v7 = v2) & ~ (v6 = v5) & ~ (v6 = v1) & ~ (v5 = v0) & ~
% 174.94/25.92 (v4 = v3) & ~ (v4 = v2) & ~ (v4 = v1) & ~ (v4 = v0) & ~ (v3 = v2) & ~
% 174.94/25.92 (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1) & ~ (v2 = v0) & ~ (v1 = v0) &
% 174.94/25.92 op(e4, e4) = v24 & op(e4, e3) = v19 & op(e4, e2) = v14 & op(e4, e1) = v9 &
% 174.94/25.92 op(e4, e0) = v4 & op(e3, e4) = v23 & op(e3, e3) = v18 & op(e3, e2) = v13 &
% 174.94/25.92 op(e3, e1) = v8 & op(e3, e0) = v3 & op(e2, e4) = v22 & op(e2, e3) = v17 &
% 174.94/25.92 op(e2, e2) = v12 & op(e2, e1) = v7 & op(e2, e0) = v2 & op(e1, e4) = v21 &
% 174.94/25.92 op(e1, e3) = v16 & op(e1, e2) = v11 & op(e1, e1) = v6 & op(e1, e0) = v1 &
% 174.94/25.92 op(e0, e4) = v20 & op(e0, e3) = v15 & op(e0, e2) = v10 & op(e0, e1) = v5 &
% 174.94/25.92 op(e0, e0) = v0 & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19)
% 174.94/25.92 & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) &
% 174.94/25.92 $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 174.94/25.92 $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 174.94/25.92
% 174.94/25.92 (ax5)
% 174.94/25.92 ~ (e4 = e3) & ~ (e4 = e2) & ~ (e4 = e1) & ~ (e4 = e0) & ~ (e3 = e2) & ~
% 174.94/25.92 (e3 = e1) & ~ (e3 = e0) & ~ (e2 = e1) & ~ (e2 = e0) & ~ (e1 = e0) & $i(e4)
% 174.94/25.92 & $i(e3) & $i(e2) & $i(e1) & $i(e0)
% 174.94/25.92
% 174.94/25.92 (co1)
% 174.94/25.94 $i(e4) & $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ?
% 174.94/25.94 [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i]
% 174.94/25.94 : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 174.94/25.94 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ?
% 174.94/25.94 [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ?
% 174.94/25.94 [v23: $i] : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ?
% 174.94/25.94 [v28: $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : ? [v32: $i] : ?
% 174.94/25.94 [v33: $i] : ? [v34: $i] : ? [v35: $i] : ? [v36: $i] : ? [v37: $i] : ?
% 174.94/25.94 [v38: $i] : ? [v39: $i] : ? [v40: $i] : ? [v41: $i] : ? [v42: $i] : ?
% 174.94/25.94 [v43: $i] : ? [v44: $i] : ? [v45: $i] : ? [v46: $i] : ? [v47: $i] : ?
% 174.94/25.94 [v48: $i] : ? [v49: $i] : ? [v50: $i] : ? [v51: $i] : ? [v52: $i] : ?
% 174.94/25.94 [v53: $i] : ? [v54: $i] : ? [v55: $i] : ? [v56: $i] : ? [v57: $i] : ?
% 174.94/25.94 [v58: $i] : ? [v59: $i] : ? [v60: $i] : ? [v61: $i] : ? [v62: $i] : ?
% 174.94/25.94 [v63: $i] : ? [v64: $i] : ? [v65: $i] : ? [v66: $i] : ? [v67: $i] : ?
% 174.94/25.94 [v68: $i] : ? [v69: $i] : ? [v70: $i] : ? [v71: $i] : ? [v72: $i] : ?
% 174.94/25.94 [v73: $i] : ? [v74: $i] : (op(v24, e4) = v74 & op(v23, e4) = v69 & op(v22,
% 174.94/25.94 e4) = v64 & op(v21, e4) = v59 & op(v20, e4) = v54 & op(v19, e3) = v73 &
% 174.94/25.94 op(v18, e3) = v68 & op(v17, e3) = v63 & op(v16, e3) = v58 & op(v15, e3) =
% 174.94/25.94 v53 & op(v14, e2) = v72 & op(v13, e2) = v67 & op(v12, e2) = v62 & op(v11,
% 174.94/25.94 e2) = v57 & op(v10, e2) = v52 & op(v9, e1) = v71 & op(v8, e1) = v66 &
% 174.94/25.94 op(v7, e1) = v61 & op(v6, e1) = v56 & op(v5, e1) = v51 & op(v4, e0) = v70 &
% 174.94/25.94 op(v3, e0) = v65 & op(v2, e0) = v60 & op(v1, e0) = v55 & op(v0, e0) = v50 &
% 174.94/25.94 op(e4, v24) = v49 & op(e4, v19) = v48 & op(e4, v14) = v47 & op(e4, v9) = v46
% 174.94/25.94 & op(e4, v4) = v45 & op(e4, e4) = v24 & op(e4, e3) = v19 & op(e4, e2) = v14
% 174.94/25.94 & op(e4, e1) = v9 & op(e4, e0) = v4 & op(e3, v23) = v44 & op(e3, v18) = v43
% 174.94/25.94 & op(e3, v13) = v42 & op(e3, v8) = v41 & op(e3, v3) = v40 & op(e3, e4) = v23
% 174.94/25.94 & op(e3, e3) = v18 & op(e3, e2) = v13 & op(e3, e1) = v8 & op(e3, e0) = v3 &
% 174.94/25.94 op(e2, v22) = v39 & op(e2, v17) = v38 & op(e2, v12) = v37 & op(e2, v7) = v36
% 174.94/25.94 & op(e2, v2) = v35 & op(e2, e4) = v22 & op(e2, e3) = v17 & op(e2, e2) = v12
% 174.94/25.94 & op(e2, e1) = v7 & op(e2, e0) = v2 & op(e1, v21) = v34 & op(e1, v16) = v33
% 174.94/25.94 & op(e1, v11) = v32 & op(e1, v6) = v31 & op(e1, v1) = v30 & op(e1, e4) = v21
% 174.94/25.94 & op(e1, e3) = v16 & op(e1, e2) = v11 & op(e1, e1) = v6 & op(e1, e0) = v1 &
% 174.94/25.94 op(e0, v20) = v29 & op(e0, v15) = v28 & op(e0, v10) = v27 & op(e0, v5) = v26
% 174.94/25.94 & op(e0, v0) = v25 & op(e0, e4) = v20 & op(e0, e3) = v15 & op(e0, e2) = v10
% 174.94/25.94 & op(e0, e1) = v5 & op(e0, e0) = v0 & $i(v74) & $i(v73) & $i(v72) & $i(v71)
% 174.94/25.94 & $i(v70) & $i(v69) & $i(v68) & $i(v67) & $i(v66) & $i(v65) & $i(v64) &
% 174.94/25.94 $i(v63) & $i(v62) & $i(v61) & $i(v60) & $i(v59) & $i(v58) & $i(v57) &
% 174.94/25.94 $i(v56) & $i(v55) & $i(v54) & $i(v53) & $i(v52) & $i(v51) & $i(v50) &
% 174.94/25.94 $i(v49) & $i(v48) & $i(v47) & $i(v46) & $i(v45) & $i(v44) & $i(v43) &
% 174.94/25.94 $i(v42) & $i(v41) & $i(v40) & $i(v39) & $i(v38) & $i(v37) & $i(v36) &
% 174.94/25.94 $i(v35) & $i(v34) & $i(v33) & $i(v32) & $i(v31) & $i(v30) & $i(v29) &
% 174.94/25.94 $i(v28) & $i(v27) & $i(v26) & $i(v25) & $i(v24) & $i(v23) & $i(v22) &
% 174.94/25.94 $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) &
% 174.94/25.94 $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 174.94/25.94 $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ( ~ (v74 =
% 174.94/25.94 e4) | ~ (v73 = e4) | ~ (v72 = e4) | ~ (v71 = e4) | ~ (v70 = e4) | ~
% 174.94/25.94 (v69 = e3) | ~ (v68 = e3) | ~ (v67 = e3) | ~ (v66 = e3) | ~ (v65 = e3)
% 174.94/25.94 | ~ (v64 = e2) | ~ (v63 = e2) | ~ (v62 = e2) | ~ (v61 = e2) | ~ (v60
% 174.94/25.94 = e2) | ~ (v59 = e1) | ~ (v58 = e1) | ~ (v57 = e1) | ~ (v56 = e1) |
% 174.94/25.94 ~ (v55 = e1) | ~ (v54 = e0) | ~ (v53 = e0) | ~ (v52 = e0) | ~ (v51 =
% 174.94/25.94 e0) | ~ (v50 = e0)) & ( ~ (v49 = e4) | ~ (v48 = e3) | ~ (v47 = e2) |
% 174.94/25.94 ~ (v46 = e1) | ~ (v45 = e0) | ~ (v44 = e4) | ~ (v43 = e3) | ~ (v42 =
% 174.94/25.94 e2) | ~ (v41 = e1) | ~ (v40 = e0) | ~ (v39 = e4) | ~ (v38 = e3) | ~
% 174.94/25.94 (v37 = e2) | ~ (v36 = e1) | ~ (v35 = e0) | ~ (v34 = e4) | ~ (v33 = e3)
% 174.94/25.94 | ~ (v32 = e2) | ~ (v31 = e1) | ~ (v30 = e0) | ~ (v29 = e4) | ~ (v28
% 174.94/25.94 = e3) | ~ (v27 = e2) | ~ (v26 = e1) | ~ (v25 = e0)) & (v24 = e4 | v23
% 174.94/25.94 = e3 | v22 = e2 | v21 = e1 | v20 = e0) & (v24 = e4 | v19 = e3 | v14 = e2 |
% 174.94/25.94 v9 = e1 | v4 = e0) & (v23 = e4 | v18 = e3 | v13 = e2 | v8 = e1 | v3 = e0)
% 174.94/25.94 & (v22 = e4 | v17 = e3 | v12 = e2 | v7 = e1 | v2 = e0) & (v21 = e4 | v16 =
% 174.94/25.94 e3 | v11 = e2 | v6 = e1 | v1 = e0) & (v20 = e4 | v15 = e3 | v10 = e2 | v5
% 174.94/25.94 = e1 | v0 = e0) & (v19 = e4 | v18 = e3 | v17 = e2 | v16 = e1 | v15 = e0) &
% 174.94/25.94 (v14 = e4 | v13 = e3 | v12 = e2 | v11 = e1 | v10 = e0) & (v9 = e4 | v8 = e3
% 174.94/25.94 | v7 = e2 | v6 = e1 | v5 = e0) & (v4 = e4 | v3 = e3 | v2 = e2 | v1 = e1 |
% 174.94/25.94 v0 = e0))
% 174.94/25.94
% 174.94/25.94 (function-axioms)
% 174.94/25.94 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (op(v3,
% 174.94/25.94 v2) = v1) | ~ (op(v3, v2) = v0))
% 174.94/25.94
% 174.94/25.94 Those formulas are unsatisfiable:
% 174.94/25.94 ---------------------------------
% 174.94/25.94
% 174.94/25.94 Begin of proof
% 174.94/25.94 |
% 174.94/25.94 | ALPHA: (ax1) implies:
% 175.29/25.95 | (1) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 175.29/25.95 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 175.29/25.95 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 175.29/25.95 | ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? [v19:
% 175.29/25.95 | $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] : ?
% 175.29/25.95 | [v24: $i] : (op(e4, e4) = v24 & op(e4, e3) = v23 & op(e4, e2) = v22 &
% 175.29/25.95 | op(e4, e1) = v21 & op(e4, e0) = v20 & op(e3, e4) = v19 & op(e3, e3) =
% 175.29/25.95 | v18 & op(e3, e2) = v17 & op(e3, e1) = v16 & op(e3, e0) = v15 & op(e2,
% 175.29/25.95 | e4) = v14 & op(e2, e3) = v13 & op(e2, e2) = v12 & op(e2, e1) = v11
% 175.29/25.95 | & op(e2, e0) = v10 & op(e1, e4) = v9 & op(e1, e3) = v8 & op(e1, e2) =
% 175.29/25.95 | v7 & op(e1, e1) = v6 & op(e1, e0) = v5 & op(e0, e4) = v4 & op(e0, e3)
% 175.29/25.95 | = v3 & op(e0, e2) = v2 & op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v24)
% 175.29/25.95 | & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17)
% 175.29/25.95 | & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10)
% 175.29/25.95 | & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) &
% 175.29/25.95 | $i(v2) & $i(v1) & $i(v0) & (v24 = e4 | v24 = e3 | v24 = e2 | v24 = e1
% 175.29/25.95 | | v24 = e0) & (v23 = e4 | v23 = e3 | v23 = e2 | v23 = e1 | v23 =
% 175.29/25.95 | e0) & (v22 = e4 | v22 = e3 | v22 = e2 | v22 = e1 | v22 = e0) & (v21
% 175.29/25.95 | = e4 | v21 = e3 | v21 = e2 | v21 = e1 | v21 = e0) & (v20 = e4 | v20
% 175.29/25.95 | = e3 | v20 = e2 | v20 = e1 | v20 = e0) & (v19 = e4 | v19 = e3 | v19
% 175.29/25.95 | = e2 | v19 = e1 | v19 = e0) & (v18 = e4 | v18 = e3 | v18 = e2 | v18
% 175.29/25.95 | = e1 | v18 = e0) & (v17 = e4 | v17 = e3 | v17 = e2 | v17 = e1 | v17
% 175.29/25.95 | = e0) & (v16 = e4 | v16 = e3 | v16 = e2 | v16 = e1 | v16 = e0) &
% 175.29/25.95 | (v15 = e4 | v15 = e3 | v15 = e2 | v15 = e1 | v15 = e0) & (v14 = e4 |
% 175.29/25.95 | v14 = e3 | v14 = e2 | v14 = e1 | v14 = e0) & (v13 = e4 | v13 = e3 |
% 175.29/25.95 | v13 = e2 | v13 = e1 | v13 = e0) & (v12 = e4 | v12 = e3 | v12 = e2 |
% 175.29/25.96 | v12 = e1 | v12 = e0) & (v11 = e4 | v11 = e3 | v11 = e2 | v11 = e1 |
% 175.29/25.96 | v11 = e0) & (v10 = e4 | v10 = e3 | v10 = e2 | v10 = e1 | v10 = e0)
% 175.29/25.96 | & (v9 = e4 | v9 = e3 | v9 = e2 | v9 = e1 | v9 = e0) & (v8 = e4 | v8 =
% 175.29/25.96 | e3 | v8 = e2 | v8 = e1 | v8 = e0) & (v7 = e4 | v7 = e3 | v7 = e2 |
% 175.29/25.96 | v7 = e1 | v7 = e0) & (v6 = e4 | v6 = e3 | v6 = e2 | v6 = e1 | v6 =
% 175.29/25.96 | e0) & (v5 = e4 | v5 = e3 | v5 = e2 | v5 = e1 | v5 = e0) & (v4 = e4
% 175.29/25.96 | | v4 = e3 | v4 = e2 | v4 = e1 | v4 = e0) & (v3 = e4 | v3 = e3 | v3
% 175.29/25.96 | = e2 | v3 = e1 | v3 = e0) & (v2 = e4 | v2 = e3 | v2 = e2 | v2 = e1
% 175.29/25.96 | | v2 = e0) & (v1 = e4 | v1 = e3 | v1 = e2 | v1 = e1 | v1 = e0) &
% 175.29/25.96 | (v0 = e4 | v0 = e3 | v0 = e2 | v0 = e1 | v0 = e0))
% 175.29/25.96 |
% 175.29/25.96 | ALPHA: (ax2) implies:
% 175.36/25.97 | (2) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 175.36/25.97 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 175.36/25.97 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 175.36/25.97 | ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? [v19:
% 175.36/25.97 | $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] : ?
% 175.36/25.97 | [v24: $i] : (op(e4, e4) = v24 & op(e4, e3) = v23 & op(e4, e2) = v20 &
% 175.36/25.97 | op(e4, e1) = v15 & op(e4, e0) = v8 & op(e3, e4) = v22 & op(e3, e3) =
% 175.36/25.97 | v21 & op(e3, e2) = v19 & op(e3, e1) = v14 & op(e3, e0) = v7 & op(e2,
% 175.36/25.97 | e4) = v18 & op(e2, e3) = v17 & op(e2, e2) = v16 & op(e2, e1) = v13
% 175.36/25.97 | & op(e2, e0) = v6 & op(e1, e4) = v12 & op(e1, e3) = v11 & op(e1, e2)
% 175.36/25.97 | = v10 & op(e1, e1) = v9 & op(e1, e0) = v5 & op(e0, e4) = v4 & op(e0,
% 175.36/25.97 | e3) = v3 & op(e0, e2) = v2 & op(e0, e1) = v1 & op(e0, e0) = v0 &
% 175.36/25.97 | $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) &
% 175.36/25.97 | $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) &
% 175.36/25.97 | $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 175.36/25.97 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v24 = e4 | v23 = e4 | v20 = e4 |
% 175.36/25.97 | v15 = e4 | v8 = e4) & (v24 = e4 | v22 = e4 | v18 = e4 | v12 = e4 |
% 175.36/25.97 | v4 = e4) & (v24 = e3 | v23 = e3 | v20 = e3 | v15 = e3 | v8 = e3) &
% 175.36/25.97 | (v24 = e3 | v22 = e3 | v18 = e3 | v12 = e3 | v4 = e3) & (v24 = e2 |
% 175.36/25.97 | v23 = e2 | v20 = e2 | v15 = e2 | v8 = e2) & (v24 = e2 | v22 = e2 |
% 175.36/25.97 | v18 = e2 | v12 = e2 | v4 = e2) & (v24 = e1 | v23 = e1 | v20 = e1 |
% 175.36/25.97 | v15 = e1 | v8 = e1) & (v24 = e1 | v22 = e1 | v18 = e1 | v12 = e1 |
% 175.36/25.97 | v4 = e1) & (v24 = e0 | v23 = e0 | v20 = e0 | v15 = e0 | v8 = e0) &
% 175.36/25.97 | (v24 = e0 | v22 = e0 | v18 = e0 | v12 = e0 | v4 = e0) & (v23 = e4 |
% 175.36/25.97 | v21 = e4 | v17 = e4 | v11 = e4 | v3 = e4) & (v23 = e3 | v21 = e3 |
% 175.36/25.97 | v17 = e3 | v11 = e3 | v3 = e3) & (v23 = e2 | v21 = e2 | v17 = e2 |
% 175.36/25.97 | v11 = e2 | v3 = e2) & (v23 = e1 | v21 = e1 | v17 = e1 | v11 = e1 |
% 175.36/25.97 | v3 = e1) & (v23 = e0 | v21 = e0 | v17 = e0 | v11 = e0 | v3 = e0) &
% 175.36/25.97 | (v22 = e4 | v21 = e4 | v19 = e4 | v14 = e4 | v7 = e4) & (v22 = e3 |
% 175.36/25.97 | v21 = e3 | v19 = e3 | v14 = e3 | v7 = e3) & (v22 = e2 | v21 = e2 |
% 175.36/25.97 | v19 = e2 | v14 = e2 | v7 = e2) & (v22 = e1 | v21 = e1 | v19 = e1 |
% 175.36/25.97 | v14 = e1 | v7 = e1) & (v22 = e0 | v21 = e0 | v19 = e0 | v14 = e0 |
% 175.36/25.97 | v7 = e0) & (v20 = e4 | v19 = e4 | v16 = e4 | v10 = e4 | v2 = e4) &
% 175.36/25.97 | (v20 = e3 | v19 = e3 | v16 = e3 | v10 = e3 | v2 = e3) & (v20 = e2 |
% 175.36/25.97 | v19 = e2 | v16 = e2 | v10 = e2 | v2 = e2) & (v20 = e1 | v19 = e1 |
% 175.36/25.97 | v16 = e1 | v10 = e1 | v2 = e1) & (v20 = e0 | v19 = e0 | v16 = e0 |
% 175.36/25.97 | v10 = e0 | v2 = e0) & (v18 = e4 | v17 = e4 | v16 = e4 | v13 = e4 |
% 175.36/25.97 | v6 = e4) & (v18 = e3 | v17 = e3 | v16 = e3 | v13 = e3 | v6 = e3) &
% 175.36/25.97 | (v18 = e2 | v17 = e2 | v16 = e2 | v13 = e2 | v6 = e2) & (v18 = e1 |
% 175.36/25.97 | v17 = e1 | v16 = e1 | v13 = e1 | v6 = e1) & (v18 = e0 | v17 = e0 |
% 175.36/25.97 | v16 = e0 | v13 = e0 | v6 = e0) & (v15 = e4 | v14 = e4 | v13 = e4 |
% 175.36/25.97 | v9 = e4 | v1 = e4) & (v15 = e3 | v14 = e3 | v13 = e3 | v9 = e3 | v1
% 175.36/25.97 | = e3) & (v15 = e2 | v14 = e2 | v13 = e2 | v9 = e2 | v1 = e2) & (v15
% 175.36/25.97 | = e1 | v14 = e1 | v13 = e1 | v9 = e1 | v1 = e1) & (v15 = e0 | v14 =
% 175.36/25.97 | e0 | v13 = e0 | v9 = e0 | v1 = e0) & (v12 = e4 | v11 = e4 | v10 =
% 175.36/25.97 | e4 | v9 = e4 | v5 = e4) & (v12 = e3 | v11 = e3 | v10 = e3 | v9 = e3
% 175.36/25.97 | | v5 = e3) & (v12 = e2 | v11 = e2 | v10 = e2 | v9 = e2 | v5 = e2) &
% 175.36/25.97 | (v12 = e1 | v11 = e1 | v10 = e1 | v9 = e1 | v5 = e1) & (v12 = e0 |
% 175.36/25.97 | v11 = e0 | v10 = e0 | v9 = e0 | v5 = e0) & (v8 = e4 | v7 = e4 | v6
% 175.36/25.97 | = e4 | v5 = e4 | v0 = e4) & (v8 = e3 | v7 = e3 | v6 = e3 | v5 = e3
% 175.36/25.97 | | v0 = e3) & (v8 = e2 | v7 = e2 | v6 = e2 | v5 = e2 | v0 = e2) &
% 175.36/25.97 | (v8 = e1 | v7 = e1 | v6 = e1 | v5 = e1 | v0 = e1) & (v4 = e4 | v3 =
% 175.36/25.97 | e4 | v2 = e4 | v1 = e4 | v0 = e4) & (v4 = e3 | v3 = e3 | v2 = e3 |
% 175.36/25.97 | v1 = e3 | v0 = e3) & (v4 = e2 | v3 = e2 | v2 = e2 | v1 = e2 | v0 =
% 175.36/25.97 | e2) & (v4 = e1 | v3 = e1 | v2 = e1 | v1 = e1 | v0 = e1) & (v0 = e0
% 175.36/25.97 | | ((v8 = e0 | v7 = e0 | v6 = e0 | v5 = e0) & (v4 = e0 | v3 = e0 |
% 175.36/25.97 | v2 = e0 | v1 = e0))))
% 175.36/25.97 |
% 175.36/25.97 | ALPHA: (ax3) implies:
% 175.36/25.98 | (3) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 175.36/25.98 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 175.36/25.98 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 175.36/25.98 | ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? [v19:
% 175.36/25.98 | $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] : ?
% 175.36/25.98 | [v24: $i] : (op(v24, v24) = e4 & op(v23, v22) = e4 & op(v22, v23) = e3
% 175.36/25.98 | & op(v21, v21) = e3 & op(v20, v19) = e4 & op(v19, v20) = e2 & op(v18,
% 175.36/25.98 | v17) = e3 & op(v17, v18) = e2 & op(v16, v16) = e2 & op(v15, v14) =
% 175.36/25.98 | e4 & op(v14, v15) = e1 & op(v13, v12) = e3 & op(v12, v13) = e1 &
% 175.36/25.98 | op(v11, v10) = e2 & op(v10, v11) = e1 & op(v9, v9) = e1 & op(v8, v7)
% 175.36/25.98 | = e4 & op(v7, v8) = e0 & op(v6, v5) = e3 & op(v5, v6) = e0 & op(v4,
% 175.36/25.98 | v3) = e2 & op(v3, v4) = e0 & op(v2, v1) = e1 & op(v1, v2) = e0 &
% 175.36/25.98 | op(v0, v0) = e0 & op(e4, e4) = v24 & op(e4, e3) = v22 & op(e4, e2) =
% 175.36/25.98 | v19 & op(e4, e1) = v14 & op(e4, e0) = v7 & op(e3, e4) = v23 & op(e3,
% 175.36/25.98 | e3) = v21 & op(e3, e2) = v17 & op(e3, e1) = v12 & op(e3, e0) = v5 &
% 175.36/25.98 | op(e2, e4) = v20 & op(e2, e3) = v18 & op(e2, e2) = v16 & op(e2, e1) =
% 175.36/25.98 | v10 & op(e2, e0) = v3 & op(e1, e4) = v15 & op(e1, e3) = v13 & op(e1,
% 175.36/25.98 | e2) = v11 & op(e1, e1) = v9 & op(e1, e0) = v1 & op(e0, e4) = v8 &
% 175.36/25.98 | op(e0, e3) = v6 & op(e0, e2) = v4 & op(e0, e1) = v2 & op(e0, e0) = v0
% 175.36/25.98 | & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18)
% 175.36/25.98 | & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11)
% 175.36/25.98 | & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 175.36/25.98 | $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 175.36/25.98 |
% 175.36/25.98 | ALPHA: (ax4) implies:
% 175.36/25.99 | (4) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 175.36/25.99 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 175.36/25.99 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 175.36/25.99 | ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? [v19:
% 175.36/25.99 | $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] : ?
% 175.36/25.99 | [v24: $i] : ( ~ (v24 = v23) & ~ (v24 = v22) & ~ (v24 = v21) & ~ (v24
% 175.36/25.99 | = v20) & ~ (v24 = v19) & ~ (v24 = v14) & ~ (v24 = v9) & ~ (v24
% 175.36/25.99 | = v4) & ~ (v23 = v22) & ~ (v23 = v21) & ~ (v23 = v20) & ~ (v23
% 175.36/25.99 | = v18) & ~ (v23 = v13) & ~ (v23 = v8) & ~ (v23 = v3) & ~ (v22 =
% 175.36/25.99 | v21) & ~ (v22 = v20) & ~ (v22 = v17) & ~ (v22 = v12) & ~ (v22 =
% 175.36/25.99 | v7) & ~ (v22 = v2) & ~ (v21 = v20) & ~ (v21 = v16) & ~ (v21 =
% 175.36/25.99 | v11) & ~ (v21 = v6) & ~ (v21 = v1) & ~ (v20 = v15) & ~ (v20 =
% 175.36/25.99 | v10) & ~ (v20 = v5) & ~ (v20 = v0) & ~ (v19 = v18) & ~ (v19 =
% 175.36/25.99 | v17) & ~ (v19 = v16) & ~ (v19 = v15) & ~ (v19 = v14) & ~ (v19 =
% 175.36/25.99 | v9) & ~ (v19 = v4) & ~ (v18 = v17) & ~ (v18 = v16) & ~ (v18 =
% 175.36/25.99 | v15) & ~ (v18 = v13) & ~ (v18 = v8) & ~ (v18 = v3) & ~ (v17 =
% 175.36/25.99 | v16) & ~ (v17 = v15) & ~ (v17 = v12) & ~ (v17 = v7) & ~ (v17 =
% 175.36/25.99 | v2) & ~ (v16 = v15) & ~ (v16 = v11) & ~ (v16 = v6) & ~ (v16 =
% 175.36/25.99 | v1) & ~ (v15 = v10) & ~ (v15 = v5) & ~ (v15 = v0) & ~ (v14 =
% 175.36/25.99 | v13) & ~ (v14 = v12) & ~ (v14 = v11) & ~ (v14 = v10) & ~ (v14 =
% 175.36/25.99 | v9) & ~ (v14 = v4) & ~ (v13 = v12) & ~ (v13 = v11) & ~ (v13 =
% 175.36/25.99 | v10) & ~ (v13 = v8) & ~ (v13 = v3) & ~ (v12 = v11) & ~ (v12 =
% 175.36/25.99 | v10) & ~ (v12 = v7) & ~ (v12 = v2) & ~ (v11 = v10) & ~ (v11 =
% 175.36/25.99 | v6) & ~ (v11 = v1) & ~ (v10 = v5) & ~ (v10 = v0) & ~ (v9 = v8)
% 175.36/25.99 | & ~ (v9 = v7) & ~ (v9 = v6) & ~ (v9 = v5) & ~ (v9 = v4) & ~ (v8
% 175.36/25.99 | = v7) & ~ (v8 = v6) & ~ (v8 = v5) & ~ (v8 = v3) & ~ (v7 = v6) &
% 175.36/25.99 | ~ (v7 = v5) & ~ (v7 = v2) & ~ (v6 = v5) & ~ (v6 = v1) & ~ (v5 =
% 175.36/25.99 | v0) & ~ (v4 = v3) & ~ (v4 = v2) & ~ (v4 = v1) & ~ (v4 = v0) &
% 175.36/25.99 | ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1) & ~ (v2 =
% 175.36/25.99 | v0) & ~ (v1 = v0) & op(e4, e4) = v24 & op(e4, e3) = v19 & op(e4,
% 175.36/25.99 | e2) = v14 & op(e4, e1) = v9 & op(e4, e0) = v4 & op(e3, e4) = v23 &
% 175.36/25.99 | op(e3, e3) = v18 & op(e3, e2) = v13 & op(e3, e1) = v8 & op(e3, e0) =
% 175.36/25.99 | v3 & op(e2, e4) = v22 & op(e2, e3) = v17 & op(e2, e2) = v12 & op(e2,
% 175.36/25.99 | e1) = v7 & op(e2, e0) = v2 & op(e1, e4) = v21 & op(e1, e3) = v16 &
% 175.36/25.99 | op(e1, e2) = v11 & op(e1, e1) = v6 & op(e1, e0) = v1 & op(e0, e4) =
% 175.36/25.99 | v20 & op(e0, e3) = v15 & op(e0, e2) = v10 & op(e0, e1) = v5 & op(e0,
% 175.36/25.99 | e0) = v0 & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) &
% 175.36/25.99 | $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) &
% 175.36/25.99 | $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 175.36/25.99 | $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 175.36/25.99 |
% 175.36/25.99 | ALPHA: (ax5) implies:
% 175.36/25.99 | (5) ~ (e1 = e0)
% 175.36/25.99 | (6) ~ (e2 = e0)
% 175.36/25.99 | (7) ~ (e2 = e1)
% 175.36/25.99 | (8) ~ (e3 = e0)
% 175.36/25.99 | (9) ~ (e3 = e1)
% 175.36/25.99 | (10) ~ (e3 = e2)
% 175.36/25.99 | (11) ~ (e4 = e0)
% 175.36/25.99 | (12) ~ (e4 = e1)
% 175.36/25.99 | (13) ~ (e4 = e2)
% 175.36/25.99 | (14) ~ (e4 = e3)
% 175.36/25.99 |
% 175.36/25.99 | ALPHA: (co1) implies:
% 175.36/26.00 | (15) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 175.36/26.00 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 175.36/26.00 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 175.36/26.00 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ?
% 175.36/26.00 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i]
% 175.36/26.00 | : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28:
% 175.36/26.00 | $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : ? [v32: $i] : ?
% 175.36/26.00 | [v33: $i] : ? [v34: $i] : ? [v35: $i] : ? [v36: $i] : ? [v37: $i]
% 175.36/26.00 | : ? [v38: $i] : ? [v39: $i] : ? [v40: $i] : ? [v41: $i] : ? [v42:
% 175.36/26.00 | $i] : ? [v43: $i] : ? [v44: $i] : ? [v45: $i] : ? [v46: $i] : ?
% 175.36/26.00 | [v47: $i] : ? [v48: $i] : ? [v49: $i] : ? [v50: $i] : ? [v51: $i]
% 175.36/26.00 | : ? [v52: $i] : ? [v53: $i] : ? [v54: $i] : ? [v55: $i] : ? [v56:
% 175.36/26.00 | $i] : ? [v57: $i] : ? [v58: $i] : ? [v59: $i] : ? [v60: $i] : ?
% 175.36/26.00 | [v61: $i] : ? [v62: $i] : ? [v63: $i] : ? [v64: $i] : ? [v65: $i]
% 175.36/26.00 | : ? [v66: $i] : ? [v67: $i] : ? [v68: $i] : ? [v69: $i] : ? [v70:
% 175.36/26.00 | $i] : ? [v71: $i] : ? [v72: $i] : ? [v73: $i] : ? [v74: $i] :
% 175.36/26.00 | (op(v24, e4) = v74 & op(v23, e4) = v69 & op(v22, e4) = v64 & op(v21,
% 175.36/26.00 | e4) = v59 & op(v20, e4) = v54 & op(v19, e3) = v73 & op(v18, e3) =
% 175.36/26.00 | v68 & op(v17, e3) = v63 & op(v16, e3) = v58 & op(v15, e3) = v53 &
% 175.36/26.00 | op(v14, e2) = v72 & op(v13, e2) = v67 & op(v12, e2) = v62 & op(v11,
% 175.36/26.00 | e2) = v57 & op(v10, e2) = v52 & op(v9, e1) = v71 & op(v8, e1) =
% 175.36/26.00 | v66 & op(v7, e1) = v61 & op(v6, e1) = v56 & op(v5, e1) = v51 &
% 175.36/26.00 | op(v4, e0) = v70 & op(v3, e0) = v65 & op(v2, e0) = v60 & op(v1, e0)
% 175.36/26.00 | = v55 & op(v0, e0) = v50 & op(e4, v24) = v49 & op(e4, v19) = v48 &
% 175.36/26.00 | op(e4, v14) = v47 & op(e4, v9) = v46 & op(e4, v4) = v45 & op(e4, e4)
% 175.36/26.00 | = v24 & op(e4, e3) = v19 & op(e4, e2) = v14 & op(e4, e1) = v9 &
% 175.36/26.00 | op(e4, e0) = v4 & op(e3, v23) = v44 & op(e3, v18) = v43 & op(e3,
% 175.36/26.00 | v13) = v42 & op(e3, v8) = v41 & op(e3, v3) = v40 & op(e3, e4) =
% 175.36/26.00 | v23 & op(e3, e3) = v18 & op(e3, e2) = v13 & op(e3, e1) = v8 & op(e3,
% 175.36/26.00 | e0) = v3 & op(e2, v22) = v39 & op(e2, v17) = v38 & op(e2, v12) =
% 175.36/26.00 | v37 & op(e2, v7) = v36 & op(e2, v2) = v35 & op(e2, e4) = v22 &
% 175.36/26.00 | op(e2, e3) = v17 & op(e2, e2) = v12 & op(e2, e1) = v7 & op(e2, e0) =
% 175.36/26.00 | v2 & op(e1, v21) = v34 & op(e1, v16) = v33 & op(e1, v11) = v32 &
% 175.36/26.00 | op(e1, v6) = v31 & op(e1, v1) = v30 & op(e1, e4) = v21 & op(e1, e3)
% 175.36/26.00 | = v16 & op(e1, e2) = v11 & op(e1, e1) = v6 & op(e1, e0) = v1 &
% 175.36/26.00 | op(e0, v20) = v29 & op(e0, v15) = v28 & op(e0, v10) = v27 & op(e0,
% 175.36/26.00 | v5) = v26 & op(e0, v0) = v25 & op(e0, e4) = v20 & op(e0, e3) = v15
% 175.36/26.00 | & op(e0, e2) = v10 & op(e0, e1) = v5 & op(e0, e0) = v0 & $i(v74) &
% 175.36/26.00 | $i(v73) & $i(v72) & $i(v71) & $i(v70) & $i(v69) & $i(v68) & $i(v67)
% 175.36/26.00 | & $i(v66) & $i(v65) & $i(v64) & $i(v63) & $i(v62) & $i(v61) &
% 175.36/26.00 | $i(v60) & $i(v59) & $i(v58) & $i(v57) & $i(v56) & $i(v55) & $i(v54)
% 175.36/26.00 | & $i(v53) & $i(v52) & $i(v51) & $i(v50) & $i(v49) & $i(v48) &
% 175.36/26.00 | $i(v47) & $i(v46) & $i(v45) & $i(v44) & $i(v43) & $i(v42) & $i(v41)
% 175.36/26.00 | & $i(v40) & $i(v39) & $i(v38) & $i(v37) & $i(v36) & $i(v35) &
% 175.36/26.00 | $i(v34) & $i(v33) & $i(v32) & $i(v31) & $i(v30) & $i(v29) & $i(v28)
% 175.36/26.00 | & $i(v27) & $i(v26) & $i(v25) & $i(v24) & $i(v23) & $i(v22) &
% 175.36/26.00 | $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15)
% 175.36/26.00 | & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8)
% 175.36/26.00 | & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 175.36/26.00 | $i(v0) & ( ~ (v74 = e4) | ~ (v73 = e4) | ~ (v72 = e4) | ~ (v71 =
% 175.36/26.00 | e4) | ~ (v70 = e4) | ~ (v69 = e3) | ~ (v68 = e3) | ~ (v67 =
% 175.36/26.00 | e3) | ~ (v66 = e3) | ~ (v65 = e3) | ~ (v64 = e2) | ~ (v63 =
% 175.36/26.00 | e2) | ~ (v62 = e2) | ~ (v61 = e2) | ~ (v60 = e2) | ~ (v59 =
% 175.36/26.00 | e1) | ~ (v58 = e1) | ~ (v57 = e1) | ~ (v56 = e1) | ~ (v55 =
% 175.36/26.00 | e1) | ~ (v54 = e0) | ~ (v53 = e0) | ~ (v52 = e0) | ~ (v51 =
% 175.36/26.00 | e0) | ~ (v50 = e0)) & ( ~ (v49 = e4) | ~ (v48 = e3) | ~ (v47
% 175.36/26.00 | = e2) | ~ (v46 = e1) | ~ (v45 = e0) | ~ (v44 = e4) | ~ (v43
% 175.36/26.00 | = e3) | ~ (v42 = e2) | ~ (v41 = e1) | ~ (v40 = e0) | ~ (v39
% 175.36/26.00 | = e4) | ~ (v38 = e3) | ~ (v37 = e2) | ~ (v36 = e1) | ~ (v35
% 175.36/26.00 | = e0) | ~ (v34 = e4) | ~ (v33 = e3) | ~ (v32 = e2) | ~ (v31
% 175.36/26.00 | = e1) | ~ (v30 = e0) | ~ (v29 = e4) | ~ (v28 = e3) | ~ (v27
% 175.36/26.00 | = e2) | ~ (v26 = e1) | ~ (v25 = e0)) & (v24 = e4 | v23 = e3 |
% 175.36/26.00 | v22 = e2 | v21 = e1 | v20 = e0) & (v24 = e4 | v19 = e3 | v14 = e2
% 175.36/26.00 | | v9 = e1 | v4 = e0) & (v23 = e4 | v18 = e3 | v13 = e2 | v8 = e1 |
% 175.36/26.00 | v3 = e0) & (v22 = e4 | v17 = e3 | v12 = e2 | v7 = e1 | v2 = e0) &
% 175.36/26.00 | (v21 = e4 | v16 = e3 | v11 = e2 | v6 = e1 | v1 = e0) & (v20 = e4 |
% 175.36/26.00 | v15 = e3 | v10 = e2 | v5 = e1 | v0 = e0) & (v19 = e4 | v18 = e3 |
% 175.36/26.00 | v17 = e2 | v16 = e1 | v15 = e0) & (v14 = e4 | v13 = e3 | v12 = e2
% 175.36/26.00 | | v11 = e1 | v10 = e0) & (v9 = e4 | v8 = e3 | v7 = e2 | v6 = e1 |
% 175.36/26.00 | v5 = e0) & (v4 = e4 | v3 = e3 | v2 = e2 | v1 = e1 | v0 = e0))
% 175.36/26.00 |
% 175.36/26.00 | DELTA: instantiating (3) with fresh symbols all_4_0, all_4_1, all_4_2,
% 175.36/26.00 | all_4_3, all_4_4, all_4_5, all_4_6, all_4_7, all_4_8, all_4_9,
% 175.36/26.00 | all_4_10, all_4_11, all_4_12, all_4_13, all_4_14, all_4_15, all_4_16,
% 175.36/26.00 | all_4_17, all_4_18, all_4_19, all_4_20, all_4_21, all_4_22, all_4_23,
% 175.36/26.00 | all_4_24 gives:
% 175.36/26.01 | (16) op(all_4_0, all_4_0) = e4 & op(all_4_1, all_4_2) = e4 & op(all_4_2,
% 175.36/26.01 | all_4_1) = e3 & op(all_4_3, all_4_3) = e3 & op(all_4_4, all_4_5) =
% 175.36/26.01 | e4 & op(all_4_5, all_4_4) = e2 & op(all_4_6, all_4_7) = e3 &
% 175.36/26.01 | op(all_4_7, all_4_6) = e2 & op(all_4_8, all_4_8) = e2 & op(all_4_9,
% 175.36/26.01 | all_4_10) = e4 & op(all_4_10, all_4_9) = e1 & op(all_4_11, all_4_12)
% 175.36/26.01 | = e3 & op(all_4_12, all_4_11) = e1 & op(all_4_13, all_4_14) = e2 &
% 175.36/26.01 | op(all_4_14, all_4_13) = e1 & op(all_4_15, all_4_15) = e1 &
% 175.36/26.01 | op(all_4_16, all_4_17) = e4 & op(all_4_17, all_4_16) = e0 &
% 175.36/26.01 | op(all_4_18, all_4_19) = e3 & op(all_4_19, all_4_18) = e0 &
% 175.36/26.01 | op(all_4_20, all_4_21) = e2 & op(all_4_21, all_4_20) = e0 &
% 175.36/26.01 | op(all_4_22, all_4_23) = e1 & op(all_4_23, all_4_22) = e0 &
% 175.36/26.01 | op(all_4_24, all_4_24) = e0 & op(e4, e4) = all_4_0 & op(e4, e3) =
% 175.36/26.01 | all_4_2 & op(e4, e2) = all_4_5 & op(e4, e1) = all_4_10 & op(e4, e0) =
% 175.36/26.01 | all_4_17 & op(e3, e4) = all_4_1 & op(e3, e3) = all_4_3 & op(e3, e2) =
% 175.36/26.01 | all_4_7 & op(e3, e1) = all_4_12 & op(e3, e0) = all_4_19 & op(e2, e4) =
% 175.36/26.01 | all_4_4 & op(e2, e3) = all_4_6 & op(e2, e2) = all_4_8 & op(e2, e1) =
% 175.36/26.01 | all_4_14 & op(e2, e0) = all_4_21 & op(e1, e4) = all_4_9 & op(e1, e3) =
% 175.36/26.01 | all_4_11 & op(e1, e2) = all_4_13 & op(e1, e1) = all_4_15 & op(e1, e0)
% 175.36/26.01 | = all_4_23 & op(e0, e4) = all_4_16 & op(e0, e3) = all_4_18 & op(e0,
% 175.36/26.01 | e2) = all_4_20 & op(e0, e1) = all_4_22 & op(e0, e0) = all_4_24 &
% 175.36/26.01 | $i(all_4_0) & $i(all_4_1) & $i(all_4_2) & $i(all_4_3) & $i(all_4_4) &
% 175.36/26.01 | $i(all_4_5) & $i(all_4_6) & $i(all_4_7) & $i(all_4_8) & $i(all_4_9) &
% 175.36/26.01 | $i(all_4_10) & $i(all_4_11) & $i(all_4_12) & $i(all_4_13) &
% 175.36/26.01 | $i(all_4_14) & $i(all_4_15) & $i(all_4_16) & $i(all_4_17) &
% 175.36/26.01 | $i(all_4_18) & $i(all_4_19) & $i(all_4_20) & $i(all_4_21) &
% 175.36/26.01 | $i(all_4_22) & $i(all_4_23) & $i(all_4_24)
% 175.36/26.01 |
% 175.36/26.01 | ALPHA: (16) implies:
% 175.36/26.01 | (17) op(e0, e0) = all_4_24
% 175.36/26.01 | (18) op(e0, e1) = all_4_22
% 175.36/26.01 | (19) op(e0, e2) = all_4_20
% 175.36/26.01 | (20) op(e0, e3) = all_4_18
% 175.36/26.01 | (21) op(e0, e4) = all_4_16
% 175.36/26.01 | (22) op(e1, e0) = all_4_23
% 175.36/26.01 | (23) op(e1, e1) = all_4_15
% 175.36/26.01 | (24) op(e1, e2) = all_4_13
% 175.36/26.01 | (25) op(e1, e3) = all_4_11
% 175.36/26.01 | (26) op(e1, e4) = all_4_9
% 175.36/26.01 | (27) op(e2, e0) = all_4_21
% 175.36/26.01 | (28) op(e2, e1) = all_4_14
% 175.36/26.01 | (29) op(e2, e2) = all_4_8
% 175.36/26.01 | (30) op(e2, e3) = all_4_6
% 175.36/26.01 | (31) op(e2, e4) = all_4_4
% 175.36/26.01 | (32) op(e3, e0) = all_4_19
% 175.36/26.01 | (33) op(e3, e1) = all_4_12
% 175.36/26.01 | (34) op(e3, e2) = all_4_7
% 175.36/26.01 | (35) op(e3, e3) = all_4_3
% 175.57/26.01 | (36) op(e3, e4) = all_4_1
% 175.57/26.01 | (37) op(e4, e0) = all_4_17
% 175.57/26.01 | (38) op(e4, e1) = all_4_10
% 175.57/26.01 | (39) op(e4, e2) = all_4_5
% 175.57/26.01 | (40) op(e4, e3) = all_4_2
% 175.57/26.01 | (41) op(e4, e4) = all_4_0
% 175.57/26.01 | (42) op(all_4_24, all_4_24) = e0
% 175.57/26.01 | (43) op(all_4_23, all_4_22) = e0
% 175.57/26.01 | (44) op(all_4_22, all_4_23) = e1
% 175.57/26.01 | (45) op(all_4_21, all_4_20) = e0
% 175.57/26.01 | (46) op(all_4_20, all_4_21) = e2
% 175.57/26.01 | (47) op(all_4_19, all_4_18) = e0
% 175.57/26.01 | (48) op(all_4_18, all_4_19) = e3
% 175.57/26.01 | (49) op(all_4_17, all_4_16) = e0
% 175.57/26.01 | (50) op(all_4_16, all_4_17) = e4
% 175.57/26.01 | (51) op(all_4_15, all_4_15) = e1
% 175.57/26.01 | (52) op(all_4_14, all_4_13) = e1
% 175.57/26.01 | (53) op(all_4_13, all_4_14) = e2
% 175.57/26.01 | (54) op(all_4_12, all_4_11) = e1
% 175.57/26.01 | (55) op(all_4_11, all_4_12) = e3
% 175.57/26.01 | (56) op(all_4_10, all_4_9) = e1
% 175.57/26.01 | (57) op(all_4_9, all_4_10) = e4
% 175.57/26.01 | (58) op(all_4_8, all_4_8) = e2
% 175.57/26.01 | (59) op(all_4_7, all_4_6) = e2
% 175.57/26.01 | (60) op(all_4_6, all_4_7) = e3
% 175.57/26.01 | (61) op(all_4_5, all_4_4) = e2
% 175.57/26.01 | (62) op(all_4_4, all_4_5) = e4
% 175.57/26.01 | (63) op(all_4_3, all_4_3) = e3
% 175.57/26.01 | (64) op(all_4_2, all_4_1) = e3
% 175.57/26.01 | (65) op(all_4_1, all_4_2) = e4
% 175.57/26.01 | (66) op(all_4_0, all_4_0) = e4
% 175.57/26.01 |
% 175.57/26.01 | DELTA: instantiating (4) with fresh symbols all_6_0, all_6_1, all_6_2,
% 175.57/26.01 | all_6_3, all_6_4, all_6_5, all_6_6, all_6_7, all_6_8, all_6_9,
% 175.57/26.01 | all_6_10, all_6_11, all_6_12, all_6_13, all_6_14, all_6_15, all_6_16,
% 175.57/26.01 | all_6_17, all_6_18, all_6_19, all_6_20, all_6_21, all_6_22, all_6_23,
% 175.57/26.01 | all_6_24 gives:
% 175.57/26.02 | (67) ~ (all_6_0 = all_6_1) & ~ (all_6_0 = all_6_2) & ~ (all_6_0 =
% 175.57/26.02 | all_6_3) & ~ (all_6_0 = all_6_4) & ~ (all_6_0 = all_6_5) & ~
% 175.57/26.02 | (all_6_0 = all_6_10) & ~ (all_6_0 = all_6_15) & ~ (all_6_0 =
% 175.57/26.02 | all_6_20) & ~ (all_6_1 = all_6_2) & ~ (all_6_1 = all_6_3) & ~
% 175.57/26.02 | (all_6_1 = all_6_4) & ~ (all_6_1 = all_6_6) & ~ (all_6_1 = all_6_11)
% 175.57/26.02 | & ~ (all_6_1 = all_6_16) & ~ (all_6_1 = all_6_21) & ~ (all_6_2 =
% 175.57/26.02 | all_6_3) & ~ (all_6_2 = all_6_4) & ~ (all_6_2 = all_6_7) & ~
% 175.57/26.02 | (all_6_2 = all_6_12) & ~ (all_6_2 = all_6_17) & ~ (all_6_2 =
% 175.57/26.02 | all_6_22) & ~ (all_6_3 = all_6_4) & ~ (all_6_3 = all_6_8) & ~
% 175.57/26.02 | (all_6_3 = all_6_13) & ~ (all_6_3 = all_6_18) & ~ (all_6_3 =
% 175.57/26.02 | all_6_23) & ~ (all_6_4 = all_6_9) & ~ (all_6_4 = all_6_14) & ~
% 175.57/26.02 | (all_6_4 = all_6_19) & ~ (all_6_4 = all_6_24) & ~ (all_6_5 =
% 175.57/26.02 | all_6_6) & ~ (all_6_5 = all_6_7) & ~ (all_6_5 = all_6_8) & ~
% 175.57/26.02 | (all_6_5 = all_6_9) & ~ (all_6_5 = all_6_10) & ~ (all_6_5 =
% 175.57/26.02 | all_6_15) & ~ (all_6_5 = all_6_20) & ~ (all_6_6 = all_6_7) & ~
% 175.57/26.02 | (all_6_6 = all_6_8) & ~ (all_6_6 = all_6_9) & ~ (all_6_6 = all_6_11)
% 175.57/26.02 | & ~ (all_6_6 = all_6_16) & ~ (all_6_6 = all_6_21) & ~ (all_6_7 =
% 175.57/26.02 | all_6_8) & ~ (all_6_7 = all_6_9) & ~ (all_6_7 = all_6_12) & ~
% 175.57/26.02 | (all_6_7 = all_6_17) & ~ (all_6_7 = all_6_22) & ~ (all_6_8 =
% 175.57/26.02 | all_6_9) & ~ (all_6_8 = all_6_13) & ~ (all_6_8 = all_6_18) & ~
% 175.57/26.02 | (all_6_8 = all_6_23) & ~ (all_6_9 = all_6_14) & ~ (all_6_9 =
% 175.57/26.02 | all_6_19) & ~ (all_6_9 = all_6_24) & ~ (all_6_10 = all_6_11) & ~
% 175.57/26.02 | (all_6_10 = all_6_12) & ~ (all_6_10 = all_6_13) & ~ (all_6_10 =
% 175.57/26.02 | all_6_14) & ~ (all_6_10 = all_6_15) & ~ (all_6_10 = all_6_20) & ~
% 175.57/26.02 | (all_6_11 = all_6_12) & ~ (all_6_11 = all_6_13) & ~ (all_6_11 =
% 175.57/26.02 | all_6_14) & ~ (all_6_11 = all_6_16) & ~ (all_6_11 = all_6_21) & ~
% 175.57/26.02 | (all_6_12 = all_6_13) & ~ (all_6_12 = all_6_14) & ~ (all_6_12 =
% 175.57/26.02 | all_6_17) & ~ (all_6_12 = all_6_22) & ~ (all_6_13 = all_6_14) & ~
% 175.57/26.02 | (all_6_13 = all_6_18) & ~ (all_6_13 = all_6_23) & ~ (all_6_14 =
% 175.57/26.02 | all_6_19) & ~ (all_6_14 = all_6_24) & ~ (all_6_15 = all_6_16) & ~
% 175.57/26.02 | (all_6_15 = all_6_17) & ~ (all_6_15 = all_6_18) & ~ (all_6_15 =
% 175.57/26.02 | all_6_19) & ~ (all_6_15 = all_6_20) & ~ (all_6_16 = all_6_17) & ~
% 175.57/26.02 | (all_6_16 = all_6_18) & ~ (all_6_16 = all_6_19) & ~ (all_6_16 =
% 175.57/26.02 | all_6_21) & ~ (all_6_17 = all_6_18) & ~ (all_6_17 = all_6_19) & ~
% 175.57/26.02 | (all_6_17 = all_6_22) & ~ (all_6_18 = all_6_19) & ~ (all_6_18 =
% 175.57/26.02 | all_6_23) & ~ (all_6_19 = all_6_24) & ~ (all_6_20 = all_6_21) & ~
% 175.57/26.02 | (all_6_20 = all_6_22) & ~ (all_6_20 = all_6_23) & ~ (all_6_20 =
% 175.57/26.02 | all_6_24) & ~ (all_6_21 = all_6_22) & ~ (all_6_21 = all_6_23) & ~
% 175.57/26.02 | (all_6_21 = all_6_24) & ~ (all_6_22 = all_6_23) & ~ (all_6_22 =
% 175.57/26.02 | all_6_24) & ~ (all_6_23 = all_6_24) & op(e4, e4) = all_6_0 & op(e4,
% 175.57/26.02 | e3) = all_6_5 & op(e4, e2) = all_6_10 & op(e4, e1) = all_6_15 &
% 175.57/26.02 | op(e4, e0) = all_6_20 & op(e3, e4) = all_6_1 & op(e3, e3) = all_6_6 &
% 175.57/26.02 | op(e3, e2) = all_6_11 & op(e3, e1) = all_6_16 & op(e3, e0) = all_6_21
% 175.57/26.02 | & op(e2, e4) = all_6_2 & op(e2, e3) = all_6_7 & op(e2, e2) = all_6_12
% 175.57/26.02 | & op(e2, e1) = all_6_17 & op(e2, e0) = all_6_22 & op(e1, e4) = all_6_3
% 175.57/26.02 | & op(e1, e3) = all_6_8 & op(e1, e2) = all_6_13 & op(e1, e1) = all_6_18
% 175.57/26.02 | & op(e1, e0) = all_6_23 & op(e0, e4) = all_6_4 & op(e0, e3) = all_6_9
% 175.57/26.02 | & op(e0, e2) = all_6_14 & op(e0, e1) = all_6_19 & op(e0, e0) =
% 175.57/26.02 | all_6_24 & $i(all_6_0) & $i(all_6_1) & $i(all_6_2) & $i(all_6_3) &
% 175.57/26.02 | $i(all_6_4) & $i(all_6_5) & $i(all_6_6) & $i(all_6_7) & $i(all_6_8) &
% 175.57/26.02 | $i(all_6_9) & $i(all_6_10) & $i(all_6_11) & $i(all_6_12) &
% 175.57/26.02 | $i(all_6_13) & $i(all_6_14) & $i(all_6_15) & $i(all_6_16) &
% 175.57/26.02 | $i(all_6_17) & $i(all_6_18) & $i(all_6_19) & $i(all_6_20) &
% 175.57/26.02 | $i(all_6_21) & $i(all_6_22) & $i(all_6_23) & $i(all_6_24)
% 175.57/26.02 |
% 175.57/26.02 | ALPHA: (67) implies:
% 175.57/26.02 | (68) ~ (all_6_23 = all_6_24)
% 175.57/26.02 | (69) ~ (all_6_22 = all_6_24)
% 175.57/26.02 | (70) ~ (all_6_22 = all_6_23)
% 175.57/26.02 | (71) ~ (all_6_21 = all_6_24)
% 175.57/26.02 | (72) ~ (all_6_21 = all_6_23)
% 175.57/26.02 | (73) ~ (all_6_21 = all_6_22)
% 175.57/26.02 | (74) ~ (all_6_20 = all_6_24)
% 175.57/26.02 | (75) ~ (all_6_20 = all_6_23)
% 175.57/26.02 | (76) ~ (all_6_20 = all_6_22)
% 175.57/26.02 | (77) ~ (all_6_20 = all_6_21)
% 175.57/26.02 | (78) ~ (all_6_19 = all_6_24)
% 175.57/26.02 | (79) ~ (all_6_18 = all_6_23)
% 175.57/26.02 | (80) ~ (all_6_18 = all_6_19)
% 175.57/26.02 | (81) ~ (all_6_17 = all_6_22)
% 175.57/26.02 | (82) ~ (all_6_17 = all_6_19)
% 175.57/26.02 | (83) ~ (all_6_17 = all_6_18)
% 175.57/26.02 | (84) ~ (all_6_16 = all_6_21)
% 175.57/26.02 | (85) ~ (all_6_16 = all_6_19)
% 175.57/26.02 | (86) ~ (all_6_16 = all_6_18)
% 175.57/26.02 | (87) ~ (all_6_16 = all_6_17)
% 175.57/26.02 | (88) ~ (all_6_15 = all_6_20)
% 175.57/26.02 | (89) ~ (all_6_15 = all_6_19)
% 175.57/26.02 | (90) ~ (all_6_15 = all_6_18)
% 175.57/26.02 | (91) ~ (all_6_15 = all_6_17)
% 175.57/26.02 | (92) ~ (all_6_15 = all_6_16)
% 175.57/26.02 | (93) ~ (all_6_14 = all_6_24)
% 175.57/26.02 | (94) ~ (all_6_14 = all_6_19)
% 175.57/26.02 | (95) ~ (all_6_13 = all_6_23)
% 175.57/26.02 | (96) ~ (all_6_13 = all_6_18)
% 175.57/26.02 | (97) ~ (all_6_13 = all_6_14)
% 175.57/26.02 | (98) ~ (all_6_12 = all_6_22)
% 175.57/26.03 | (99) ~ (all_6_12 = all_6_17)
% 175.57/26.03 | (100) ~ (all_6_12 = all_6_14)
% 175.57/26.03 | (101) ~ (all_6_12 = all_6_13)
% 175.57/26.03 | (102) ~ (all_6_11 = all_6_21)
% 175.57/26.03 | (103) ~ (all_6_11 = all_6_16)
% 175.57/26.03 | (104) ~ (all_6_11 = all_6_14)
% 175.57/26.03 | (105) ~ (all_6_11 = all_6_13)
% 175.57/26.03 | (106) ~ (all_6_11 = all_6_12)
% 175.57/26.03 | (107) ~ (all_6_10 = all_6_20)
% 175.57/26.03 | (108) ~ (all_6_10 = all_6_15)
% 175.57/26.03 | (109) ~ (all_6_10 = all_6_14)
% 175.57/26.03 | (110) ~ (all_6_10 = all_6_13)
% 175.57/26.03 | (111) ~ (all_6_10 = all_6_12)
% 175.57/26.03 | (112) ~ (all_6_10 = all_6_11)
% 175.57/26.03 | (113) ~ (all_6_9 = all_6_24)
% 175.57/26.03 | (114) ~ (all_6_9 = all_6_19)
% 175.57/26.03 | (115) ~ (all_6_9 = all_6_14)
% 175.57/26.03 | (116) ~ (all_6_8 = all_6_23)
% 175.57/26.03 | (117) ~ (all_6_8 = all_6_18)
% 175.57/26.03 | (118) ~ (all_6_8 = all_6_13)
% 175.57/26.03 | (119) ~ (all_6_8 = all_6_9)
% 175.57/26.03 | (120) ~ (all_6_7 = all_6_22)
% 175.57/26.03 | (121) ~ (all_6_7 = all_6_17)
% 175.57/26.03 | (122) ~ (all_6_7 = all_6_12)
% 175.57/26.03 | (123) ~ (all_6_7 = all_6_9)
% 175.57/26.03 | (124) ~ (all_6_7 = all_6_8)
% 175.57/26.03 | (125) ~ (all_6_6 = all_6_21)
% 175.57/26.03 | (126) ~ (all_6_6 = all_6_16)
% 175.57/26.03 | (127) ~ (all_6_6 = all_6_11)
% 175.57/26.03 | (128) ~ (all_6_6 = all_6_9)
% 175.57/26.03 | (129) ~ (all_6_6 = all_6_8)
% 175.57/26.03 | (130) ~ (all_6_6 = all_6_7)
% 175.57/26.03 | (131) ~ (all_6_5 = all_6_20)
% 175.57/26.03 | (132) ~ (all_6_5 = all_6_15)
% 175.57/26.03 | (133) ~ (all_6_5 = all_6_10)
% 175.57/26.03 | (134) ~ (all_6_5 = all_6_9)
% 175.57/26.03 | (135) ~ (all_6_5 = all_6_8)
% 175.57/26.03 | (136) ~ (all_6_5 = all_6_7)
% 175.57/26.03 | (137) ~ (all_6_5 = all_6_6)
% 175.57/26.03 | (138) ~ (all_6_4 = all_6_24)
% 175.57/26.03 | (139) ~ (all_6_4 = all_6_19)
% 175.57/26.03 | (140) ~ (all_6_4 = all_6_14)
% 175.57/26.03 | (141) ~ (all_6_4 = all_6_9)
% 175.57/26.03 | (142) ~ (all_6_3 = all_6_23)
% 175.57/26.03 | (143) ~ (all_6_3 = all_6_18)
% 175.57/26.03 | (144) ~ (all_6_3 = all_6_13)
% 175.57/26.03 | (145) ~ (all_6_3 = all_6_8)
% 175.57/26.03 | (146) ~ (all_6_3 = all_6_4)
% 175.57/26.03 | (147) ~ (all_6_2 = all_6_22)
% 175.57/26.03 | (148) ~ (all_6_2 = all_6_17)
% 175.57/26.03 | (149) ~ (all_6_2 = all_6_12)
% 175.57/26.03 | (150) ~ (all_6_2 = all_6_7)
% 175.57/26.03 | (151) ~ (all_6_2 = all_6_4)
% 175.57/26.03 | (152) ~ (all_6_2 = all_6_3)
% 175.57/26.03 | (153) ~ (all_6_1 = all_6_21)
% 175.57/26.03 | (154) ~ (all_6_1 = all_6_16)
% 175.57/26.03 | (155) ~ (all_6_1 = all_6_11)
% 175.57/26.03 | (156) ~ (all_6_1 = all_6_6)
% 175.57/26.03 | (157) ~ (all_6_1 = all_6_4)
% 175.57/26.03 | (158) ~ (all_6_1 = all_6_3)
% 175.57/26.03 | (159) ~ (all_6_1 = all_6_2)
% 175.57/26.03 | (160) ~ (all_6_0 = all_6_20)
% 175.57/26.03 | (161) ~ (all_6_0 = all_6_15)
% 175.57/26.03 | (162) ~ (all_6_0 = all_6_10)
% 175.57/26.03 | (163) ~ (all_6_0 = all_6_5)
% 175.57/26.03 | (164) ~ (all_6_0 = all_6_4)
% 175.57/26.03 | (165) ~ (all_6_0 = all_6_3)
% 175.57/26.03 | (166) ~ (all_6_0 = all_6_2)
% 175.57/26.03 | (167) ~ (all_6_0 = all_6_1)
% 175.57/26.03 | (168) op(e0, e0) = all_6_24
% 175.57/26.03 | (169) op(e0, e1) = all_6_19
% 175.57/26.03 | (170) op(e0, e2) = all_6_14
% 175.57/26.03 | (171) op(e0, e3) = all_6_9
% 175.57/26.03 | (172) op(e0, e4) = all_6_4
% 175.57/26.03 | (173) op(e1, e0) = all_6_23
% 175.57/26.03 | (174) op(e1, e1) = all_6_18
% 175.57/26.03 | (175) op(e1, e2) = all_6_13
% 175.57/26.03 | (176) op(e1, e3) = all_6_8
% 175.57/26.03 | (177) op(e1, e4) = all_6_3
% 175.57/26.03 | (178) op(e2, e0) = all_6_22
% 175.57/26.03 | (179) op(e2, e1) = all_6_17
% 175.57/26.03 | (180) op(e2, e2) = all_6_12
% 175.57/26.03 | (181) op(e2, e3) = all_6_7
% 175.57/26.03 | (182) op(e2, e4) = all_6_2
% 175.57/26.03 | (183) op(e3, e0) = all_6_21
% 175.57/26.03 | (184) op(e3, e1) = all_6_16
% 175.57/26.03 | (185) op(e3, e2) = all_6_11
% 175.57/26.03 | (186) op(e3, e3) = all_6_6
% 175.57/26.03 | (187) op(e3, e4) = all_6_1
% 175.57/26.03 | (188) op(e4, e0) = all_6_20
% 175.57/26.03 | (189) op(e4, e1) = all_6_15
% 175.57/26.03 | (190) op(e4, e2) = all_6_10
% 175.57/26.03 | (191) op(e4, e3) = all_6_5
% 175.57/26.03 | (192) op(e4, e4) = all_6_0
% 175.57/26.03 |
% 175.57/26.03 | DELTA: instantiating (1) with fresh symbols all_8_0, all_8_1, all_8_2,
% 175.57/26.03 | all_8_3, all_8_4, all_8_5, all_8_6, all_8_7, all_8_8, all_8_9,
% 175.57/26.03 | all_8_10, all_8_11, all_8_12, all_8_13, all_8_14, all_8_15, all_8_16,
% 175.57/26.03 | all_8_17, all_8_18, all_8_19, all_8_20, all_8_21, all_8_22, all_8_23,
% 175.57/26.03 | all_8_24 gives:
% 175.57/26.04 | (193) op(e4, e4) = all_8_0 & op(e4, e3) = all_8_1 & op(e4, e2) = all_8_2 &
% 175.57/26.04 | op(e4, e1) = all_8_3 & op(e4, e0) = all_8_4 & op(e3, e4) = all_8_5 &
% 175.57/26.04 | op(e3, e3) = all_8_6 & op(e3, e2) = all_8_7 & op(e3, e1) = all_8_8 &
% 175.57/26.04 | op(e3, e0) = all_8_9 & op(e2, e4) = all_8_10 & op(e2, e3) = all_8_11
% 175.57/26.04 | & op(e2, e2) = all_8_12 & op(e2, e1) = all_8_13 & op(e2, e0) =
% 175.57/26.04 | all_8_14 & op(e1, e4) = all_8_15 & op(e1, e3) = all_8_16 & op(e1, e2)
% 175.57/26.04 | = all_8_17 & op(e1, e1) = all_8_18 & op(e1, e0) = all_8_19 & op(e0,
% 175.57/26.04 | e4) = all_8_20 & op(e0, e3) = all_8_21 & op(e0, e2) = all_8_22 &
% 175.57/26.04 | op(e0, e1) = all_8_23 & op(e0, e0) = all_8_24 & $i(all_8_0) &
% 175.57/26.04 | $i(all_8_1) & $i(all_8_2) & $i(all_8_3) & $i(all_8_4) & $i(all_8_5) &
% 175.57/26.04 | $i(all_8_6) & $i(all_8_7) & $i(all_8_8) & $i(all_8_9) & $i(all_8_10)
% 175.57/26.04 | & $i(all_8_11) & $i(all_8_12) & $i(all_8_13) & $i(all_8_14) &
% 175.57/26.04 | $i(all_8_15) & $i(all_8_16) & $i(all_8_17) & $i(all_8_18) &
% 175.57/26.04 | $i(all_8_19) & $i(all_8_20) & $i(all_8_21) & $i(all_8_22) &
% 175.57/26.04 | $i(all_8_23) & $i(all_8_24) & (all_8_0 = e4 | all_8_0 = e3 | all_8_0
% 175.57/26.04 | = e2 | all_8_0 = e1 | all_8_0 = e0) & (all_8_1 = e4 | all_8_1 = e3
% 175.57/26.04 | | all_8_1 = e2 | all_8_1 = e1 | all_8_1 = e0) & (all_8_2 = e4 |
% 175.57/26.04 | all_8_2 = e3 | all_8_2 = e2 | all_8_2 = e1 | all_8_2 = e0) &
% 175.57/26.04 | (all_8_3 = e4 | all_8_3 = e3 | all_8_3 = e2 | all_8_3 = e1 | all_8_3
% 175.57/26.04 | = e0) & (all_8_4 = e4 | all_8_4 = e3 | all_8_4 = e2 | all_8_4 = e1
% 175.57/26.04 | | all_8_4 = e0) & (all_8_5 = e4 | all_8_5 = e3 | all_8_5 = e2 |
% 175.57/26.04 | all_8_5 = e1 | all_8_5 = e0) & (all_8_6 = e4 | all_8_6 = e3 |
% 175.57/26.04 | all_8_6 = e2 | all_8_6 = e1 | all_8_6 = e0) & (all_8_7 = e4 |
% 175.57/26.04 | all_8_7 = e3 | all_8_7 = e2 | all_8_7 = e1 | all_8_7 = e0) &
% 175.57/26.04 | (all_8_8 = e4 | all_8_8 = e3 | all_8_8 = e2 | all_8_8 = e1 | all_8_8
% 175.57/26.04 | = e0) & (all_8_9 = e4 | all_8_9 = e3 | all_8_9 = e2 | all_8_9 = e1
% 175.57/26.04 | | all_8_9 = e0) & (all_8_10 = e4 | all_8_10 = e3 | all_8_10 = e2 |
% 175.57/26.04 | all_8_10 = e1 | all_8_10 = e0) & (all_8_11 = e4 | all_8_11 = e3 |
% 175.57/26.04 | all_8_11 = e2 | all_8_11 = e1 | all_8_11 = e0) & (all_8_12 = e4 |
% 175.57/26.04 | all_8_12 = e3 | all_8_12 = e2 | all_8_12 = e1 | all_8_12 = e0) &
% 175.57/26.04 | (all_8_13 = e4 | all_8_13 = e3 | all_8_13 = e2 | all_8_13 = e1 |
% 175.57/26.04 | all_8_13 = e0) & (all_8_14 = e4 | all_8_14 = e3 | all_8_14 = e2 |
% 175.57/26.04 | all_8_14 = e1 | all_8_14 = e0) & (all_8_15 = e4 | all_8_15 = e3 |
% 175.57/26.04 | all_8_15 = e2 | all_8_15 = e1 | all_8_15 = e0) & (all_8_16 = e4 |
% 175.57/26.04 | all_8_16 = e3 | all_8_16 = e2 | all_8_16 = e1 | all_8_16 = e0) &
% 175.57/26.04 | (all_8_17 = e4 | all_8_17 = e3 | all_8_17 = e2 | all_8_17 = e1 |
% 175.57/26.04 | all_8_17 = e0) & (all_8_18 = e4 | all_8_18 = e3 | all_8_18 = e2 |
% 175.57/26.04 | all_8_18 = e1 | all_8_18 = e0) & (all_8_19 = e4 | all_8_19 = e3 |
% 175.57/26.04 | all_8_19 = e2 | all_8_19 = e1 | all_8_19 = e0) & (all_8_20 = e4 |
% 175.57/26.04 | all_8_20 = e3 | all_8_20 = e2 | all_8_20 = e1 | all_8_20 = e0) &
% 175.57/26.04 | (all_8_21 = e4 | all_8_21 = e3 | all_8_21 = e2 | all_8_21 = e1 |
% 175.57/26.04 | all_8_21 = e0) & (all_8_22 = e4 | all_8_22 = e3 | all_8_22 = e2 |
% 175.57/26.04 | all_8_22 = e1 | all_8_22 = e0) & (all_8_23 = e4 | all_8_23 = e3 |
% 175.57/26.04 | all_8_23 = e2 | all_8_23 = e1 | all_8_23 = e0) & (all_8_24 = e4 |
% 175.57/26.04 | all_8_24 = e3 | all_8_24 = e2 | all_8_24 = e1 | all_8_24 = e0)
% 175.57/26.04 |
% 175.57/26.04 | ALPHA: (193) implies:
% 175.57/26.04 | (194) op(e0, e0) = all_8_24
% 175.57/26.04 | (195) op(e0, e1) = all_8_23
% 175.57/26.04 | (196) op(e0, e2) = all_8_22
% 175.57/26.04 | (197) op(e0, e3) = all_8_21
% 175.57/26.04 | (198) op(e0, e4) = all_8_20
% 175.57/26.04 | (199) op(e1, e0) = all_8_19
% 175.57/26.04 | (200) op(e1, e1) = all_8_18
% 175.57/26.04 | (201) op(e1, e2) = all_8_17
% 175.57/26.04 | (202) op(e1, e3) = all_8_16
% 175.57/26.04 | (203) op(e1, e4) = all_8_15
% 175.57/26.04 | (204) op(e2, e0) = all_8_14
% 175.57/26.04 | (205) op(e2, e1) = all_8_13
% 175.57/26.04 | (206) op(e2, e2) = all_8_12
% 175.57/26.04 | (207) op(e2, e3) = all_8_11
% 175.57/26.04 | (208) op(e2, e4) = all_8_10
% 175.57/26.04 | (209) op(e3, e0) = all_8_9
% 175.57/26.04 | (210) op(e3, e1) = all_8_8
% 175.57/26.04 | (211) op(e3, e2) = all_8_7
% 175.57/26.04 | (212) op(e3, e3) = all_8_6
% 175.57/26.04 | (213) op(e3, e4) = all_8_5
% 175.57/26.04 | (214) op(e4, e0) = all_8_4
% 175.57/26.04 | (215) op(e4, e1) = all_8_3
% 175.57/26.04 | (216) op(e4, e2) = all_8_2
% 175.57/26.04 | (217) op(e4, e3) = all_8_1
% 175.57/26.04 | (218) op(e4, e4) = all_8_0
% 175.57/26.04 | (219) all_8_24 = e4 | all_8_24 = e3 | all_8_24 = e2 | all_8_24 = e1 |
% 175.57/26.04 | all_8_24 = e0
% 175.57/26.04 | (220) all_8_23 = e4 | all_8_23 = e3 | all_8_23 = e2 | all_8_23 = e1 |
% 175.57/26.04 | all_8_23 = e0
% 175.57/26.04 | (221) all_8_22 = e4 | all_8_22 = e3 | all_8_22 = e2 | all_8_22 = e1 |
% 175.57/26.04 | all_8_22 = e0
% 175.57/26.04 | (222) all_8_21 = e4 | all_8_21 = e3 | all_8_21 = e2 | all_8_21 = e1 |
% 175.57/26.04 | all_8_21 = e0
% 175.71/26.04 | (223) all_8_20 = e4 | all_8_20 = e3 | all_8_20 = e2 | all_8_20 = e1 |
% 175.71/26.04 | all_8_20 = e0
% 175.71/26.04 | (224) all_8_19 = e4 | all_8_19 = e3 | all_8_19 = e2 | all_8_19 = e1 |
% 175.71/26.04 | all_8_19 = e0
% 175.71/26.04 | (225) all_8_18 = e4 | all_8_18 = e3 | all_8_18 = e2 | all_8_18 = e1 |
% 175.71/26.04 | all_8_18 = e0
% 175.71/26.04 | (226) all_8_17 = e4 | all_8_17 = e3 | all_8_17 = e2 | all_8_17 = e1 |
% 175.71/26.04 | all_8_17 = e0
% 175.71/26.04 | (227) all_8_16 = e4 | all_8_16 = e3 | all_8_16 = e2 | all_8_16 = e1 |
% 175.71/26.04 | all_8_16 = e0
% 175.71/26.04 | (228) all_8_15 = e4 | all_8_15 = e3 | all_8_15 = e2 | all_8_15 = e1 |
% 175.71/26.04 | all_8_15 = e0
% 175.71/26.04 | (229) all_8_14 = e4 | all_8_14 = e3 | all_8_14 = e2 | all_8_14 = e1 |
% 175.71/26.04 | all_8_14 = e0
% 175.71/26.04 | (230) all_8_13 = e4 | all_8_13 = e3 | all_8_13 = e2 | all_8_13 = e1 |
% 175.71/26.04 | all_8_13 = e0
% 175.71/26.04 | (231) all_8_12 = e4 | all_8_12 = e3 | all_8_12 = e2 | all_8_12 = e1 |
% 175.71/26.04 | all_8_12 = e0
% 175.71/26.04 | (232) all_8_11 = e4 | all_8_11 = e3 | all_8_11 = e2 | all_8_11 = e1 |
% 175.71/26.04 | all_8_11 = e0
% 175.71/26.04 | (233) all_8_10 = e4 | all_8_10 = e3 | all_8_10 = e2 | all_8_10 = e1 |
% 175.71/26.04 | all_8_10 = e0
% 175.71/26.04 | (234) all_8_9 = e4 | all_8_9 = e3 | all_8_9 = e2 | all_8_9 = e1 | all_8_9 =
% 175.71/26.04 | e0
% 175.71/26.04 | (235) all_8_8 = e4 | all_8_8 = e3 | all_8_8 = e2 | all_8_8 = e1 | all_8_8 =
% 175.71/26.04 | e0
% 175.71/26.04 | (236) all_8_7 = e4 | all_8_7 = e3 | all_8_7 = e2 | all_8_7 = e1 | all_8_7 =
% 175.71/26.04 | e0
% 175.71/26.04 | (237) all_8_6 = e4 | all_8_6 = e3 | all_8_6 = e2 | all_8_6 = e1 | all_8_6 =
% 175.71/26.04 | e0
% 175.71/26.04 | (238) all_8_5 = e4 | all_8_5 = e3 | all_8_5 = e2 | all_8_5 = e1 | all_8_5 =
% 175.71/26.04 | e0
% 175.71/26.04 | (239) all_8_4 = e4 | all_8_4 = e3 | all_8_4 = e2 | all_8_4 = e1 | all_8_4 =
% 175.71/26.04 | e0
% 175.71/26.04 | (240) all_8_3 = e4 | all_8_3 = e3 | all_8_3 = e2 | all_8_3 = e1 | all_8_3 =
% 175.71/26.04 | e0
% 175.71/26.04 | (241) all_8_2 = e4 | all_8_2 = e3 | all_8_2 = e2 | all_8_2 = e1 | all_8_2 =
% 175.71/26.04 | e0
% 175.71/26.04 | (242) all_8_1 = e4 | all_8_1 = e3 | all_8_1 = e2 | all_8_1 = e1 | all_8_1 =
% 175.71/26.04 | e0
% 175.71/26.04 | (243) all_8_0 = e4 | all_8_0 = e3 | all_8_0 = e2 | all_8_0 = e1 | all_8_0 =
% 175.71/26.04 | e0
% 175.71/26.04 |
% 175.71/26.04 | DELTA: instantiating (15) with fresh symbols all_10_0, all_10_1, all_10_2,
% 175.71/26.04 | all_10_3, all_10_4, all_10_5, all_10_6, all_10_7, all_10_8, all_10_9,
% 175.71/26.04 | all_10_10, all_10_11, all_10_12, all_10_13, all_10_14, all_10_15,
% 175.71/26.04 | all_10_16, all_10_17, all_10_18, all_10_19, all_10_20, all_10_21,
% 175.71/26.04 | all_10_22, all_10_23, all_10_24, all_10_25, all_10_26, all_10_27,
% 175.71/26.04 | all_10_28, all_10_29, all_10_30, all_10_31, all_10_32, all_10_33,
% 175.71/26.04 | all_10_34, all_10_35, all_10_36, all_10_37, all_10_38, all_10_39,
% 175.71/26.04 | all_10_40, all_10_41, all_10_42, all_10_43, all_10_44, all_10_45,
% 175.71/26.04 | all_10_46, all_10_47, all_10_48, all_10_49, all_10_50, all_10_51,
% 175.71/26.04 | all_10_52, all_10_53, all_10_54, all_10_55, all_10_56, all_10_57,
% 175.71/26.04 | all_10_58, all_10_59, all_10_60, all_10_61, all_10_62, all_10_63,
% 175.71/26.04 | all_10_64, all_10_65, all_10_66, all_10_67, all_10_68, all_10_69,
% 175.71/26.04 | all_10_70, all_10_71, all_10_72, all_10_73, all_10_74 gives:
% 175.71/26.05 | (244) op(all_10_50, e4) = all_10_0 & op(all_10_51, e4) = all_10_5 &
% 175.71/26.05 | op(all_10_52, e4) = all_10_10 & op(all_10_53, e4) = all_10_15 &
% 175.71/26.05 | op(all_10_54, e4) = all_10_20 & op(all_10_55, e3) = all_10_1 &
% 175.71/26.05 | op(all_10_56, e3) = all_10_6 & op(all_10_57, e3) = all_10_11 &
% 175.71/26.05 | op(all_10_58, e3) = all_10_16 & op(all_10_59, e3) = all_10_21 &
% 175.71/26.05 | op(all_10_60, e2) = all_10_2 & op(all_10_61, e2) = all_10_7 &
% 175.71/26.05 | op(all_10_62, e2) = all_10_12 & op(all_10_63, e2) = all_10_17 &
% 175.71/26.05 | op(all_10_64, e2) = all_10_22 & op(all_10_65, e1) = all_10_3 &
% 175.71/26.05 | op(all_10_66, e1) = all_10_8 & op(all_10_67, e1) = all_10_13 &
% 175.71/26.05 | op(all_10_68, e1) = all_10_18 & op(all_10_69, e1) = all_10_23 &
% 175.71/26.05 | op(all_10_70, e0) = all_10_4 & op(all_10_71, e0) = all_10_9 &
% 175.71/26.05 | op(all_10_72, e0) = all_10_14 & op(all_10_73, e0) = all_10_19 &
% 175.71/26.05 | op(all_10_74, e0) = all_10_24 & op(e4, all_10_50) = all_10_25 &
% 175.71/26.05 | op(e4, all_10_55) = all_10_26 & op(e4, all_10_60) = all_10_27 &
% 175.71/26.05 | op(e4, all_10_65) = all_10_28 & op(e4, all_10_70) = all_10_29 &
% 175.71/26.05 | op(e4, e4) = all_10_50 & op(e4, e3) = all_10_55 & op(e4, e2) =
% 175.71/26.05 | all_10_60 & op(e4, e1) = all_10_65 & op(e4, e0) = all_10_70 & op(e3,
% 175.71/26.05 | all_10_51) = all_10_30 & op(e3, all_10_56) = all_10_31 & op(e3,
% 175.71/26.05 | all_10_61) = all_10_32 & op(e3, all_10_66) = all_10_33 & op(e3,
% 175.71/26.05 | all_10_71) = all_10_34 & op(e3, e4) = all_10_51 & op(e3, e3) =
% 175.71/26.05 | all_10_56 & op(e3, e2) = all_10_61 & op(e3, e1) = all_10_66 & op(e3,
% 175.71/26.05 | e0) = all_10_71 & op(e2, all_10_52) = all_10_35 & op(e2, all_10_57)
% 175.71/26.05 | = all_10_36 & op(e2, all_10_62) = all_10_37 & op(e2, all_10_67) =
% 175.71/26.05 | all_10_38 & op(e2, all_10_72) = all_10_39 & op(e2, e4) = all_10_52 &
% 175.71/26.05 | op(e2, e3) = all_10_57 & op(e2, e2) = all_10_62 & op(e2, e1) =
% 175.71/26.05 | all_10_67 & op(e2, e0) = all_10_72 & op(e1, all_10_53) = all_10_40 &
% 175.71/26.05 | op(e1, all_10_58) = all_10_41 & op(e1, all_10_63) = all_10_42 &
% 175.71/26.05 | op(e1, all_10_68) = all_10_43 & op(e1, all_10_73) = all_10_44 &
% 175.71/26.05 | op(e1, e4) = all_10_53 & op(e1, e3) = all_10_58 & op(e1, e2) =
% 175.71/26.05 | all_10_63 & op(e1, e1) = all_10_68 & op(e1, e0) = all_10_73 & op(e0,
% 175.71/26.05 | all_10_54) = all_10_45 & op(e0, all_10_59) = all_10_46 & op(e0,
% 175.71/26.05 | all_10_64) = all_10_47 & op(e0, all_10_69) = all_10_48 & op(e0,
% 175.71/26.05 | all_10_74) = all_10_49 & op(e0, e4) = all_10_54 & op(e0, e3) =
% 175.71/26.05 | all_10_59 & op(e0, e2) = all_10_64 & op(e0, e1) = all_10_69 & op(e0,
% 175.71/26.05 | e0) = all_10_74 & $i(all_10_0) & $i(all_10_1) & $i(all_10_2) &
% 175.71/26.05 | $i(all_10_3) & $i(all_10_4) & $i(all_10_5) & $i(all_10_6) &
% 175.71/26.05 | $i(all_10_7) & $i(all_10_8) & $i(all_10_9) & $i(all_10_10) &
% 175.71/26.05 | $i(all_10_11) & $i(all_10_12) & $i(all_10_13) & $i(all_10_14) &
% 175.71/26.05 | $i(all_10_15) & $i(all_10_16) & $i(all_10_17) & $i(all_10_18) &
% 175.71/26.05 | $i(all_10_19) & $i(all_10_20) & $i(all_10_21) & $i(all_10_22) &
% 175.71/26.05 | $i(all_10_23) & $i(all_10_24) & $i(all_10_25) & $i(all_10_26) &
% 175.71/26.05 | $i(all_10_27) & $i(all_10_28) & $i(all_10_29) & $i(all_10_30) &
% 175.71/26.05 | $i(all_10_31) & $i(all_10_32) & $i(all_10_33) & $i(all_10_34) &
% 175.71/26.05 | $i(all_10_35) & $i(all_10_36) & $i(all_10_37) & $i(all_10_38) &
% 175.71/26.05 | $i(all_10_39) & $i(all_10_40) & $i(all_10_41) & $i(all_10_42) &
% 175.71/26.05 | $i(all_10_43) & $i(all_10_44) & $i(all_10_45) & $i(all_10_46) &
% 175.71/26.05 | $i(all_10_47) & $i(all_10_48) & $i(all_10_49) & $i(all_10_50) &
% 175.71/26.05 | $i(all_10_51) & $i(all_10_52) & $i(all_10_53) & $i(all_10_54) &
% 175.71/26.05 | $i(all_10_55) & $i(all_10_56) & $i(all_10_57) & $i(all_10_58) &
% 175.71/26.05 | $i(all_10_59) & $i(all_10_60) & $i(all_10_61) & $i(all_10_62) &
% 175.71/26.05 | $i(all_10_63) & $i(all_10_64) & $i(all_10_65) & $i(all_10_66) &
% 175.71/26.05 | $i(all_10_67) & $i(all_10_68) & $i(all_10_69) & $i(all_10_70) &
% 175.71/26.05 | $i(all_10_71) & $i(all_10_72) & $i(all_10_73) & $i(all_10_74) & ( ~
% 175.71/26.05 | (all_10_0 = e4) | ~ (all_10_1 = e4) | ~ (all_10_2 = e4) | ~
% 175.71/26.05 | (all_10_3 = e4) | ~ (all_10_4 = e4) | ~ (all_10_5 = e3) | ~
% 175.71/26.05 | (all_10_6 = e3) | ~ (all_10_7 = e3) | ~ (all_10_8 = e3) | ~
% 175.71/26.05 | (all_10_9 = e3) | ~ (all_10_10 = e2) | ~ (all_10_11 = e2) | ~
% 175.71/26.05 | (all_10_12 = e2) | ~ (all_10_13 = e2) | ~ (all_10_14 = e2) | ~
% 175.71/26.05 | (all_10_15 = e1) | ~ (all_10_16 = e1) | ~ (all_10_17 = e1) | ~
% 175.71/26.05 | (all_10_18 = e1) | ~ (all_10_19 = e1) | ~ (all_10_20 = e0) | ~
% 175.71/26.05 | (all_10_21 = e0) | ~ (all_10_22 = e0) | ~ (all_10_23 = e0) | ~
% 175.71/26.05 | (all_10_24 = e0)) & ( ~ (all_10_25 = e4) | ~ (all_10_26 = e3) | ~
% 175.71/26.05 | (all_10_27 = e2) | ~ (all_10_28 = e1) | ~ (all_10_29 = e0) | ~
% 175.71/26.05 | (all_10_30 = e4) | ~ (all_10_31 = e3) | ~ (all_10_32 = e2) | ~
% 175.71/26.05 | (all_10_33 = e1) | ~ (all_10_34 = e0) | ~ (all_10_35 = e4) | ~
% 175.71/26.05 | (all_10_36 = e3) | ~ (all_10_37 = e2) | ~ (all_10_38 = e1) | ~
% 175.71/26.05 | (all_10_39 = e0) | ~ (all_10_40 = e4) | ~ (all_10_41 = e3) | ~
% 175.71/26.05 | (all_10_42 = e2) | ~ (all_10_43 = e1) | ~ (all_10_44 = e0) | ~
% 175.71/26.05 | (all_10_45 = e4) | ~ (all_10_46 = e3) | ~ (all_10_47 = e2) | ~
% 175.71/26.05 | (all_10_48 = e1) | ~ (all_10_49 = e0)) & (all_10_50 = e4 |
% 175.71/26.05 | all_10_51 = e3 | all_10_52 = e2 | all_10_53 = e1 | all_10_54 = e0)
% 175.71/26.05 | & (all_10_50 = e4 | all_10_55 = e3 | all_10_60 = e2 | all_10_65 = e1
% 175.71/26.05 | | all_10_70 = e0) & (all_10_51 = e4 | all_10_56 = e3 | all_10_61 =
% 175.71/26.05 | e2 | all_10_66 = e1 | all_10_71 = e0) & (all_10_52 = e4 | all_10_57
% 175.71/26.05 | = e3 | all_10_62 = e2 | all_10_67 = e1 | all_10_72 = e0) &
% 175.71/26.05 | (all_10_53 = e4 | all_10_58 = e3 | all_10_63 = e2 | all_10_68 = e1 |
% 175.71/26.05 | all_10_73 = e0) & (all_10_54 = e4 | all_10_59 = e3 | all_10_64 = e2
% 175.71/26.05 | | all_10_69 = e1 | all_10_74 = e0) & (all_10_55 = e4 | all_10_56 =
% 175.71/26.05 | e3 | all_10_57 = e2 | all_10_58 = e1 | all_10_59 = e0) & (all_10_60
% 175.71/26.05 | = e4 | all_10_61 = e3 | all_10_62 = e2 | all_10_63 = e1 | all_10_64
% 175.71/26.05 | = e0) & (all_10_65 = e4 | all_10_66 = e3 | all_10_67 = e2 |
% 175.71/26.05 | all_10_68 = e1 | all_10_69 = e0) & (all_10_70 = e4 | all_10_71 = e3
% 175.71/26.05 | | all_10_72 = e2 | all_10_73 = e1 | all_10_74 = e0)
% 175.71/26.05 |
% 175.71/26.05 | ALPHA: (244) implies:
% 175.71/26.05 | (245) op(e0, e0) = all_10_74
% 175.71/26.05 | (246) op(e0, e1) = all_10_69
% 175.71/26.05 | (247) op(e0, e2) = all_10_64
% 175.71/26.05 | (248) op(e0, e3) = all_10_59
% 175.71/26.05 | (249) op(e0, e4) = all_10_54
% 175.71/26.05 | (250) op(e0, all_10_74) = all_10_49
% 175.71/26.05 | (251) op(e0, all_10_69) = all_10_48
% 175.71/26.05 | (252) op(e0, all_10_64) = all_10_47
% 175.71/26.05 | (253) op(e0, all_10_59) = all_10_46
% 175.71/26.05 | (254) op(e0, all_10_54) = all_10_45
% 175.71/26.05 | (255) op(e1, e0) = all_10_73
% 175.71/26.05 | (256) op(e1, e1) = all_10_68
% 175.71/26.05 | (257) op(e1, e2) = all_10_63
% 175.71/26.05 | (258) op(e1, e3) = all_10_58
% 175.71/26.05 | (259) op(e1, e4) = all_10_53
% 175.71/26.05 | (260) op(e1, all_10_73) = all_10_44
% 175.71/26.05 | (261) op(e1, all_10_68) = all_10_43
% 175.71/26.05 | (262) op(e1, all_10_63) = all_10_42
% 175.71/26.05 | (263) op(e1, all_10_58) = all_10_41
% 175.71/26.05 | (264) op(e1, all_10_53) = all_10_40
% 175.71/26.05 | (265) op(e2, e0) = all_10_72
% 175.71/26.05 | (266) op(e2, e1) = all_10_67
% 175.71/26.05 | (267) op(e2, e2) = all_10_62
% 175.71/26.05 | (268) op(e2, e3) = all_10_57
% 175.71/26.05 | (269) op(e2, e4) = all_10_52
% 175.71/26.05 | (270) op(e2, all_10_72) = all_10_39
% 175.71/26.05 | (271) op(e2, all_10_67) = all_10_38
% 175.71/26.05 | (272) op(e2, all_10_62) = all_10_37
% 175.71/26.05 | (273) op(e2, all_10_57) = all_10_36
% 175.71/26.05 | (274) op(e2, all_10_52) = all_10_35
% 175.71/26.05 | (275) op(e3, e0) = all_10_71
% 175.71/26.05 | (276) op(e3, e1) = all_10_66
% 175.71/26.05 | (277) op(e3, e2) = all_10_61
% 175.71/26.05 | (278) op(e3, e3) = all_10_56
% 175.71/26.05 | (279) op(e3, e4) = all_10_51
% 175.71/26.05 | (280) op(e3, all_10_71) = all_10_34
% 175.71/26.05 | (281) op(e3, all_10_66) = all_10_33
% 175.71/26.05 | (282) op(e3, all_10_61) = all_10_32
% 175.71/26.05 | (283) op(e3, all_10_56) = all_10_31
% 175.71/26.05 | (284) op(e3, all_10_51) = all_10_30
% 175.71/26.05 | (285) op(e4, e0) = all_10_70
% 175.71/26.05 | (286) op(e4, e1) = all_10_65
% 175.71/26.05 | (287) op(e4, e2) = all_10_60
% 175.71/26.05 | (288) op(e4, e3) = all_10_55
% 175.71/26.05 | (289) op(e4, e4) = all_10_50
% 175.71/26.05 | (290) op(e4, all_10_70) = all_10_29
% 175.71/26.05 | (291) op(e4, all_10_65) = all_10_28
% 175.71/26.05 | (292) op(e4, all_10_60) = all_10_27
% 175.71/26.05 | (293) op(e4, all_10_55) = all_10_26
% 175.71/26.05 | (294) op(e4, all_10_50) = all_10_25
% 175.71/26.05 | (295) op(all_10_74, e0) = all_10_24
% 175.71/26.05 | (296) op(all_10_73, e0) = all_10_19
% 175.71/26.05 | (297) op(all_10_72, e0) = all_10_14
% 175.71/26.05 | (298) op(all_10_71, e0) = all_10_9
% 175.71/26.05 | (299) op(all_10_70, e0) = all_10_4
% 175.71/26.05 | (300) op(all_10_69, e1) = all_10_23
% 175.71/26.05 | (301) op(all_10_68, e1) = all_10_18
% 175.71/26.05 | (302) op(all_10_67, e1) = all_10_13
% 175.71/26.05 | (303) op(all_10_66, e1) = all_10_8
% 175.71/26.05 | (304) op(all_10_65, e1) = all_10_3
% 175.71/26.05 | (305) op(all_10_64, e2) = all_10_22
% 175.71/26.05 | (306) op(all_10_63, e2) = all_10_17
% 175.71/26.05 | (307) op(all_10_62, e2) = all_10_12
% 175.71/26.05 | (308) op(all_10_61, e2) = all_10_7
% 175.71/26.05 | (309) op(all_10_60, e2) = all_10_2
% 175.71/26.05 | (310) op(all_10_59, e3) = all_10_21
% 175.71/26.05 | (311) op(all_10_58, e3) = all_10_16
% 175.71/26.05 | (312) op(all_10_57, e3) = all_10_11
% 175.71/26.05 | (313) op(all_10_56, e3) = all_10_6
% 175.71/26.05 | (314) op(all_10_55, e3) = all_10_1
% 175.71/26.05 | (315) op(all_10_54, e4) = all_10_20
% 175.71/26.05 | (316) op(all_10_53, e4) = all_10_15
% 175.71/26.05 | (317) op(all_10_52, e4) = all_10_10
% 175.71/26.05 | (318) op(all_10_51, e4) = all_10_5
% 175.71/26.05 | (319) op(all_10_50, e4) = all_10_0
% 175.71/26.05 | (320) all_10_70 = e4 | all_10_71 = e3 | all_10_72 = e2 | all_10_73 = e1 |
% 175.71/26.05 | all_10_74 = e0
% 175.71/26.05 | (321) all_10_65 = e4 | all_10_66 = e3 | all_10_67 = e2 | all_10_68 = e1 |
% 175.71/26.05 | all_10_69 = e0
% 175.71/26.05 | (322) all_10_60 = e4 | all_10_61 = e3 | all_10_62 = e2 | all_10_63 = e1 |
% 175.71/26.05 | all_10_64 = e0
% 175.71/26.05 | (323) all_10_55 = e4 | all_10_56 = e3 | all_10_57 = e2 | all_10_58 = e1 |
% 175.71/26.05 | all_10_59 = e0
% 175.71/26.05 | (324) all_10_54 = e4 | all_10_59 = e3 | all_10_64 = e2 | all_10_69 = e1 |
% 175.71/26.05 | all_10_74 = e0
% 175.71/26.05 | (325) all_10_53 = e4 | all_10_58 = e3 | all_10_63 = e2 | all_10_68 = e1 |
% 175.71/26.05 | all_10_73 = e0
% 175.71/26.05 | (326) all_10_52 = e4 | all_10_57 = e3 | all_10_62 = e2 | all_10_67 = e1 |
% 175.71/26.05 | all_10_72 = e0
% 175.71/26.05 | (327) all_10_51 = e4 | all_10_56 = e3 | all_10_61 = e2 | all_10_66 = e1 |
% 175.71/26.05 | all_10_71 = e0
% 175.71/26.05 | (328) all_10_50 = e4 | all_10_55 = e3 | all_10_60 = e2 | all_10_65 = e1 |
% 175.71/26.05 | all_10_70 = e0
% 175.71/26.05 | (329) all_10_50 = e4 | all_10_51 = e3 | all_10_52 = e2 | all_10_53 = e1 |
% 175.71/26.05 | all_10_54 = e0
% 175.71/26.05 | (330) ~ (all_10_25 = e4) | ~ (all_10_26 = e3) | ~ (all_10_27 = e2) | ~
% 175.71/26.05 | (all_10_28 = e1) | ~ (all_10_29 = e0) | ~ (all_10_30 = e4) | ~
% 175.71/26.05 | (all_10_31 = e3) | ~ (all_10_32 = e2) | ~ (all_10_33 = e1) | ~
% 175.71/26.05 | (all_10_34 = e0) | ~ (all_10_35 = e4) | ~ (all_10_36 = e3) | ~
% 175.71/26.05 | (all_10_37 = e2) | ~ (all_10_38 = e1) | ~ (all_10_39 = e0) | ~
% 175.71/26.05 | (all_10_40 = e4) | ~ (all_10_41 = e3) | ~ (all_10_42 = e2) | ~
% 175.71/26.05 | (all_10_43 = e1) | ~ (all_10_44 = e0) | ~ (all_10_45 = e4) | ~
% 175.71/26.05 | (all_10_46 = e3) | ~ (all_10_47 = e2) | ~ (all_10_48 = e1) | ~
% 175.71/26.05 | (all_10_49 = e0)
% 175.71/26.05 | (331) ~ (all_10_0 = e4) | ~ (all_10_1 = e4) | ~ (all_10_2 = e4) | ~
% 175.71/26.05 | (all_10_3 = e4) | ~ (all_10_4 = e4) | ~ (all_10_5 = e3) | ~
% 175.71/26.05 | (all_10_6 = e3) | ~ (all_10_7 = e3) | ~ (all_10_8 = e3) | ~
% 175.71/26.05 | (all_10_9 = e3) | ~ (all_10_10 = e2) | ~ (all_10_11 = e2) | ~
% 175.71/26.05 | (all_10_12 = e2) | ~ (all_10_13 = e2) | ~ (all_10_14 = e2) | ~
% 175.71/26.05 | (all_10_15 = e1) | ~ (all_10_16 = e1) | ~ (all_10_17 = e1) | ~
% 175.71/26.05 | (all_10_18 = e1) | ~ (all_10_19 = e1) | ~ (all_10_20 = e0) | ~
% 175.71/26.05 | (all_10_21 = e0) | ~ (all_10_22 = e0) | ~ (all_10_23 = e0) | ~
% 175.71/26.05 | (all_10_24 = e0)
% 175.71/26.05 |
% 175.71/26.05 | DELTA: instantiating (2) with fresh symbols all_12_0, all_12_1, all_12_2,
% 175.71/26.05 | all_12_3, all_12_4, all_12_5, all_12_6, all_12_7, all_12_8, all_12_9,
% 175.71/26.05 | all_12_10, all_12_11, all_12_12, all_12_13, all_12_14, all_12_15,
% 175.71/26.05 | all_12_16, all_12_17, all_12_18, all_12_19, all_12_20, all_12_21,
% 175.71/26.05 | all_12_22, all_12_23, all_12_24 gives:
% 175.71/26.06 | (332) op(e4, e4) = all_12_0 & op(e4, e3) = all_12_1 & op(e4, e2) = all_12_4
% 175.71/26.06 | & op(e4, e1) = all_12_9 & op(e4, e0) = all_12_16 & op(e3, e4) =
% 175.71/26.06 | all_12_2 & op(e3, e3) = all_12_3 & op(e3, e2) = all_12_5 & op(e3, e1)
% 175.71/26.06 | = all_12_10 & op(e3, e0) = all_12_17 & op(e2, e4) = all_12_6 & op(e2,
% 175.71/26.06 | e3) = all_12_7 & op(e2, e2) = all_12_8 & op(e2, e1) = all_12_11 &
% 175.71/26.06 | op(e2, e0) = all_12_18 & op(e1, e4) = all_12_12 & op(e1, e3) =
% 175.71/26.06 | all_12_13 & op(e1, e2) = all_12_14 & op(e1, e1) = all_12_15 & op(e1,
% 175.71/26.06 | e0) = all_12_19 & op(e0, e4) = all_12_20 & op(e0, e3) = all_12_21 &
% 175.71/26.06 | op(e0, e2) = all_12_22 & op(e0, e1) = all_12_23 & op(e0, e0) =
% 175.71/26.06 | all_12_24 & $i(all_12_0) & $i(all_12_1) & $i(all_12_2) & $i(all_12_3)
% 175.71/26.06 | & $i(all_12_4) & $i(all_12_5) & $i(all_12_6) & $i(all_12_7) &
% 175.71/26.06 | $i(all_12_8) & $i(all_12_9) & $i(all_12_10) & $i(all_12_11) &
% 175.71/26.06 | $i(all_12_12) & $i(all_12_13) & $i(all_12_14) & $i(all_12_15) &
% 175.71/26.06 | $i(all_12_16) & $i(all_12_17) & $i(all_12_18) & $i(all_12_19) &
% 175.71/26.06 | $i(all_12_20) & $i(all_12_21) & $i(all_12_22) & $i(all_12_23) &
% 175.71/26.06 | $i(all_12_24) & (all_12_0 = e4 | all_12_1 = e4 | all_12_4 = e4 |
% 175.71/26.06 | all_12_9 = e4 | all_12_16 = e4) & (all_12_0 = e4 | all_12_2 = e4 |
% 175.71/26.06 | all_12_6 = e4 | all_12_12 = e4 | all_12_20 = e4) & (all_12_0 = e3 |
% 175.71/26.06 | all_12_1 = e3 | all_12_4 = e3 | all_12_9 = e3 | all_12_16 = e3) &
% 175.71/26.06 | (all_12_0 = e3 | all_12_2 = e3 | all_12_6 = e3 | all_12_12 = e3 |
% 175.71/26.06 | all_12_20 = e3) & (all_12_0 = e2 | all_12_1 = e2 | all_12_4 = e2 |
% 175.71/26.06 | all_12_9 = e2 | all_12_16 = e2) & (all_12_0 = e2 | all_12_2 = e2 |
% 175.71/26.06 | all_12_6 = e2 | all_12_12 = e2 | all_12_20 = e2) & (all_12_0 = e1 |
% 175.71/26.06 | all_12_1 = e1 | all_12_4 = e1 | all_12_9 = e1 | all_12_16 = e1) &
% 175.71/26.06 | (all_12_0 = e1 | all_12_2 = e1 | all_12_6 = e1 | all_12_12 = e1 |
% 175.71/26.06 | all_12_20 = e1) & (all_12_0 = e0 | all_12_1 = e0 | all_12_4 = e0 |
% 175.71/26.06 | all_12_9 = e0 | all_12_16 = e0) & (all_12_0 = e0 | all_12_2 = e0 |
% 175.71/26.06 | all_12_6 = e0 | all_12_12 = e0 | all_12_20 = e0) & (all_12_1 = e4 |
% 175.71/26.06 | all_12_3 = e4 | all_12_7 = e4 | all_12_13 = e4 | all_12_21 = e4) &
% 175.71/26.06 | (all_12_1 = e3 | all_12_3 = e3 | all_12_7 = e3 | all_12_13 = e3 |
% 175.71/26.06 | all_12_21 = e3) & (all_12_1 = e2 | all_12_3 = e2 | all_12_7 = e2 |
% 175.71/26.06 | all_12_13 = e2 | all_12_21 = e2) & (all_12_1 = e1 | all_12_3 = e1 |
% 175.71/26.06 | all_12_7 = e1 | all_12_13 = e1 | all_12_21 = e1) & (all_12_1 = e0 |
% 175.71/26.06 | all_12_3 = e0 | all_12_7 = e0 | all_12_13 = e0 | all_12_21 = e0) &
% 175.71/26.06 | (all_12_2 = e4 | all_12_3 = e4 | all_12_5 = e4 | all_12_10 = e4 |
% 175.71/26.06 | all_12_17 = e4) & (all_12_2 = e3 | all_12_3 = e3 | all_12_5 = e3 |
% 175.71/26.06 | all_12_10 = e3 | all_12_17 = e3) & (all_12_2 = e2 | all_12_3 = e2 |
% 175.71/26.06 | all_12_5 = e2 | all_12_10 = e2 | all_12_17 = e2) & (all_12_2 = e1 |
% 175.71/26.06 | all_12_3 = e1 | all_12_5 = e1 | all_12_10 = e1 | all_12_17 = e1) &
% 175.71/26.06 | (all_12_2 = e0 | all_12_3 = e0 | all_12_5 = e0 | all_12_10 = e0 |
% 175.71/26.06 | all_12_17 = e0) & (all_12_4 = e4 | all_12_5 = e4 | all_12_8 = e4 |
% 175.71/26.06 | all_12_14 = e4 | all_12_22 = e4) & (all_12_4 = e3 | all_12_5 = e3 |
% 175.71/26.06 | all_12_8 = e3 | all_12_14 = e3 | all_12_22 = e3) & (all_12_4 = e2 |
% 175.71/26.06 | all_12_5 = e2 | all_12_8 = e2 | all_12_14 = e2 | all_12_22 = e2) &
% 175.71/26.06 | (all_12_4 = e1 | all_12_5 = e1 | all_12_8 = e1 | all_12_14 = e1 |
% 175.71/26.06 | all_12_22 = e1) & (all_12_4 = e0 | all_12_5 = e0 | all_12_8 = e0 |
% 175.71/26.06 | all_12_14 = e0 | all_12_22 = e0) & (all_12_6 = e4 | all_12_7 = e4 |
% 175.71/26.06 | all_12_8 = e4 | all_12_11 = e4 | all_12_18 = e4) & (all_12_6 = e3 |
% 175.71/26.06 | all_12_7 = e3 | all_12_8 = e3 | all_12_11 = e3 | all_12_18 = e3) &
% 175.71/26.06 | (all_12_6 = e2 | all_12_7 = e2 | all_12_8 = e2 | all_12_11 = e2 |
% 175.71/26.06 | all_12_18 = e2) & (all_12_6 = e1 | all_12_7 = e1 | all_12_8 = e1 |
% 175.71/26.06 | all_12_11 = e1 | all_12_18 = e1) & (all_12_6 = e0 | all_12_7 = e0 |
% 175.71/26.06 | all_12_8 = e0 | all_12_11 = e0 | all_12_18 = e0) & (all_12_9 = e4 |
% 175.71/26.06 | all_12_10 = e4 | all_12_11 = e4 | all_12_15 = e4 | all_12_23 = e4)
% 175.71/26.06 | & (all_12_9 = e3 | all_12_10 = e3 | all_12_11 = e3 | all_12_15 = e3 |
% 175.71/26.06 | all_12_23 = e3) & (all_12_9 = e2 | all_12_10 = e2 | all_12_11 = e2
% 175.71/26.06 | | all_12_15 = e2 | all_12_23 = e2) & (all_12_9 = e1 | all_12_10 =
% 175.71/26.06 | e1 | all_12_11 = e1 | all_12_15 = e1 | all_12_23 = e1) & (all_12_9
% 175.71/26.06 | = e0 | all_12_10 = e0 | all_12_11 = e0 | all_12_15 = e0 | all_12_23
% 175.71/26.06 | = e0) & (all_12_12 = e4 | all_12_13 = e4 | all_12_14 = e4 |
% 175.71/26.06 | all_12_15 = e4 | all_12_19 = e4) & (all_12_12 = e3 | all_12_13 = e3
% 175.71/26.06 | | all_12_14 = e3 | all_12_15 = e3 | all_12_19 = e3) & (all_12_12 =
% 175.71/26.06 | e2 | all_12_13 = e2 | all_12_14 = e2 | all_12_15 = e2 | all_12_19 =
% 175.71/26.06 | e2) & (all_12_12 = e1 | all_12_13 = e1 | all_12_14 = e1 | all_12_15
% 175.71/26.06 | = e1 | all_12_19 = e1) & (all_12_12 = e0 | all_12_13 = e0 |
% 175.71/26.06 | all_12_14 = e0 | all_12_15 = e0 | all_12_19 = e0) & (all_12_16 = e4
% 175.71/26.06 | | all_12_17 = e4 | all_12_18 = e4 | all_12_19 = e4 | all_12_24 =
% 175.71/26.06 | e4) & (all_12_16 = e3 | all_12_17 = e3 | all_12_18 = e3 | all_12_19
% 175.71/26.06 | = e3 | all_12_24 = e3) & (all_12_16 = e2 | all_12_17 = e2 |
% 175.71/26.06 | all_12_18 = e2 | all_12_19 = e2 | all_12_24 = e2) & (all_12_16 = e1
% 175.71/26.06 | | all_12_17 = e1 | all_12_18 = e1 | all_12_19 = e1 | all_12_24 =
% 175.71/26.06 | e1) & (all_12_20 = e4 | all_12_21 = e4 | all_12_22 = e4 | all_12_23
% 175.71/26.06 | = e4 | all_12_24 = e4) & (all_12_20 = e3 | all_12_21 = e3 |
% 175.71/26.06 | all_12_22 = e3 | all_12_23 = e3 | all_12_24 = e3) & (all_12_20 = e2
% 175.71/26.06 | | all_12_21 = e2 | all_12_22 = e2 | all_12_23 = e2 | all_12_24 =
% 175.71/26.06 | e2) & (all_12_20 = e1 | all_12_21 = e1 | all_12_22 = e1 | all_12_23
% 175.71/26.06 | = e1 | all_12_24 = e1) & (all_12_24 = e0 | ((all_12_16 = e0 |
% 175.71/26.06 | all_12_17 = e0 | all_12_18 = e0 | all_12_19 = e0) & (all_12_20
% 175.71/26.06 | = e0 | all_12_21 = e0 | all_12_22 = e0 | all_12_23 = e0)))
% 175.71/26.06 |
% 175.71/26.06 | ALPHA: (332) implies:
% 175.71/26.06 | (333) op(e0, e0) = all_12_24
% 175.71/26.06 | (334) op(e0, e1) = all_12_23
% 175.71/26.06 | (335) op(e0, e2) = all_12_22
% 175.71/26.06 | (336) op(e0, e3) = all_12_21
% 175.71/26.06 | (337) op(e0, e4) = all_12_20
% 175.71/26.06 | (338) op(e1, e0) = all_12_19
% 175.71/26.06 | (339) op(e1, e1) = all_12_15
% 175.71/26.06 | (340) op(e1, e2) = all_12_14
% 175.71/26.06 | (341) op(e1, e3) = all_12_13
% 175.71/26.06 | (342) op(e1, e4) = all_12_12
% 175.71/26.06 | (343) op(e2, e0) = all_12_18
% 175.71/26.06 | (344) op(e2, e1) = all_12_11
% 175.71/26.06 | (345) op(e2, e2) = all_12_8
% 175.71/26.06 | (346) op(e2, e3) = all_12_7
% 175.71/26.06 | (347) op(e2, e4) = all_12_6
% 175.71/26.06 | (348) op(e3, e0) = all_12_17
% 175.71/26.06 | (349) op(e3, e1) = all_12_10
% 175.71/26.06 | (350) op(e3, e2) = all_12_5
% 175.71/26.06 | (351) op(e3, e3) = all_12_3
% 175.71/26.06 | (352) op(e3, e4) = all_12_2
% 175.71/26.06 | (353) op(e4, e0) = all_12_16
% 175.71/26.06 | (354) op(e4, e1) = all_12_9
% 175.71/26.06 | (355) op(e4, e2) = all_12_4
% 175.71/26.06 | (356) op(e4, e3) = all_12_1
% 175.71/26.06 | (357) op(e4, e4) = all_12_0
% 175.71/26.06 | (358) all_12_24 = e0 | ((all_12_16 = e0 | all_12_17 = e0 | all_12_18 = e0 |
% 175.71/26.06 | all_12_19 = e0) & (all_12_20 = e0 | all_12_21 = e0 | all_12_22 =
% 175.71/26.06 | e0 | all_12_23 = e0))
% 175.71/26.06 | (359) all_12_20 = e1 | all_12_21 = e1 | all_12_22 = e1 | all_12_23 = e1 |
% 175.71/26.06 | all_12_24 = e1
% 175.71/26.06 | (360) all_12_20 = e2 | all_12_21 = e2 | all_12_22 = e2 | all_12_23 = e2 |
% 175.71/26.06 | all_12_24 = e2
% 175.71/26.06 | (361) all_12_20 = e3 | all_12_21 = e3 | all_12_22 = e3 | all_12_23 = e3 |
% 175.71/26.06 | all_12_24 = e3
% 175.71/26.06 | (362) all_12_20 = e4 | all_12_21 = e4 | all_12_22 = e4 | all_12_23 = e4 |
% 175.71/26.06 | all_12_24 = e4
% 175.71/26.06 | (363) all_12_16 = e1 | all_12_17 = e1 | all_12_18 = e1 | all_12_19 = e1 |
% 175.71/26.06 | all_12_24 = e1
% 175.71/26.06 | (364) all_12_16 = e2 | all_12_17 = e2 | all_12_18 = e2 | all_12_19 = e2 |
% 175.71/26.06 | all_12_24 = e2
% 175.71/26.06 | (365) all_12_16 = e3 | all_12_17 = e3 | all_12_18 = e3 | all_12_19 = e3 |
% 175.71/26.06 | all_12_24 = e3
% 175.71/26.06 | (366) all_12_16 = e4 | all_12_17 = e4 | all_12_18 = e4 | all_12_19 = e4 |
% 175.71/26.06 | all_12_24 = e4
% 175.71/26.06 | (367) all_12_12 = e0 | all_12_13 = e0 | all_12_14 = e0 | all_12_15 = e0 |
% 175.71/26.06 | all_12_19 = e0
% 175.71/26.06 | (368) all_12_12 = e1 | all_12_13 = e1 | all_12_14 = e1 | all_12_15 = e1 |
% 175.71/26.06 | all_12_19 = e1
% 175.71/26.06 | (369) all_12_12 = e2 | all_12_13 = e2 | all_12_14 = e2 | all_12_15 = e2 |
% 175.71/26.06 | all_12_19 = e2
% 175.71/26.06 | (370) all_12_12 = e3 | all_12_13 = e3 | all_12_14 = e3 | all_12_15 = e3 |
% 175.71/26.06 | all_12_19 = e3
% 175.71/26.06 | (371) all_12_12 = e4 | all_12_13 = e4 | all_12_14 = e4 | all_12_15 = e4 |
% 175.71/26.06 | all_12_19 = e4
% 175.71/26.06 | (372) all_12_9 = e0 | all_12_10 = e0 | all_12_11 = e0 | all_12_15 = e0 |
% 175.71/26.06 | all_12_23 = e0
% 175.71/26.06 | (373) all_12_9 = e1 | all_12_10 = e1 | all_12_11 = e1 | all_12_15 = e1 |
% 175.71/26.06 | all_12_23 = e1
% 175.71/26.06 | (374) all_12_9 = e2 | all_12_10 = e2 | all_12_11 = e2 | all_12_15 = e2 |
% 175.71/26.06 | all_12_23 = e2
% 175.71/26.06 | (375) all_12_9 = e3 | all_12_10 = e3 | all_12_11 = e3 | all_12_15 = e3 |
% 175.71/26.06 | all_12_23 = e3
% 175.71/26.06 | (376) all_12_9 = e4 | all_12_10 = e4 | all_12_11 = e4 | all_12_15 = e4 |
% 175.71/26.06 | all_12_23 = e4
% 175.71/26.06 | (377) all_12_6 = e0 | all_12_7 = e0 | all_12_8 = e0 | all_12_11 = e0 |
% 175.71/26.06 | all_12_18 = e0
% 175.71/26.06 | (378) all_12_6 = e1 | all_12_7 = e1 | all_12_8 = e1 | all_12_11 = e1 |
% 175.71/26.06 | all_12_18 = e1
% 175.71/26.06 | (379) all_12_6 = e2 | all_12_7 = e2 | all_12_8 = e2 | all_12_11 = e2 |
% 175.71/26.06 | all_12_18 = e2
% 175.71/26.06 | (380) all_12_6 = e3 | all_12_7 = e3 | all_12_8 = e3 | all_12_11 = e3 |
% 175.71/26.06 | all_12_18 = e3
% 175.71/26.06 | (381) all_12_6 = e4 | all_12_7 = e4 | all_12_8 = e4 | all_12_11 = e4 |
% 175.71/26.06 | all_12_18 = e4
% 175.71/26.06 | (382) all_12_4 = e0 | all_12_5 = e0 | all_12_8 = e0 | all_12_14 = e0 |
% 175.71/26.06 | all_12_22 = e0
% 175.71/26.06 | (383) all_12_4 = e1 | all_12_5 = e1 | all_12_8 = e1 | all_12_14 = e1 |
% 175.71/26.06 | all_12_22 = e1
% 175.71/26.06 | (384) all_12_4 = e2 | all_12_5 = e2 | all_12_8 = e2 | all_12_14 = e2 |
% 175.71/26.06 | all_12_22 = e2
% 175.71/26.06 | (385) all_12_4 = e3 | all_12_5 = e3 | all_12_8 = e3 | all_12_14 = e3 |
% 175.71/26.06 | all_12_22 = e3
% 175.71/26.06 | (386) all_12_4 = e4 | all_12_5 = e4 | all_12_8 = e4 | all_12_14 = e4 |
% 175.71/26.06 | all_12_22 = e4
% 175.71/26.06 | (387) all_12_2 = e0 | all_12_3 = e0 | all_12_5 = e0 | all_12_10 = e0 |
% 175.71/26.06 | all_12_17 = e0
% 175.71/26.06 | (388) all_12_2 = e1 | all_12_3 = e1 | all_12_5 = e1 | all_12_10 = e1 |
% 175.71/26.06 | all_12_17 = e1
% 175.71/26.06 | (389) all_12_2 = e2 | all_12_3 = e2 | all_12_5 = e2 | all_12_10 = e2 |
% 175.71/26.06 | all_12_17 = e2
% 175.71/26.06 | (390) all_12_2 = e3 | all_12_3 = e3 | all_12_5 = e3 | all_12_10 = e3 |
% 175.71/26.06 | all_12_17 = e3
% 175.71/26.06 | (391) all_12_2 = e4 | all_12_3 = e4 | all_12_5 = e4 | all_12_10 = e4 |
% 175.71/26.06 | all_12_17 = e4
% 175.71/26.06 | (392) all_12_1 = e0 | all_12_3 = e0 | all_12_7 = e0 | all_12_13 = e0 |
% 175.71/26.06 | all_12_21 = e0
% 175.71/26.06 | (393) all_12_1 = e1 | all_12_3 = e1 | all_12_7 = e1 | all_12_13 = e1 |
% 175.71/26.06 | all_12_21 = e1
% 175.71/26.06 | (394) all_12_1 = e2 | all_12_3 = e2 | all_12_7 = e2 | all_12_13 = e2 |
% 175.71/26.06 | all_12_21 = e2
% 175.71/26.06 | (395) all_12_1 = e3 | all_12_3 = e3 | all_12_7 = e3 | all_12_13 = e3 |
% 175.71/26.06 | all_12_21 = e3
% 175.71/26.06 | (396) all_12_1 = e4 | all_12_3 = e4 | all_12_7 = e4 | all_12_13 = e4 |
% 175.71/26.06 | all_12_21 = e4
% 175.71/26.06 | (397) all_12_0 = e0 | all_12_2 = e0 | all_12_6 = e0 | all_12_12 = e0 |
% 175.71/26.06 | all_12_20 = e0
% 175.71/26.06 | (398) all_12_0 = e0 | all_12_1 = e0 | all_12_4 = e0 | all_12_9 = e0 |
% 175.71/26.06 | all_12_16 = e0
% 175.71/26.06 | (399) all_12_0 = e1 | all_12_2 = e1 | all_12_6 = e1 | all_12_12 = e1 |
% 175.71/26.06 | all_12_20 = e1
% 175.71/26.06 | (400) all_12_0 = e1 | all_12_1 = e1 | all_12_4 = e1 | all_12_9 = e1 |
% 175.71/26.06 | all_12_16 = e1
% 175.71/26.06 | (401) all_12_0 = e2 | all_12_2 = e2 | all_12_6 = e2 | all_12_12 = e2 |
% 175.71/26.06 | all_12_20 = e2
% 175.71/26.06 | (402) all_12_0 = e2 | all_12_1 = e2 | all_12_4 = e2 | all_12_9 = e2 |
% 175.71/26.06 | all_12_16 = e2
% 175.71/26.06 | (403) all_12_0 = e3 | all_12_2 = e3 | all_12_6 = e3 | all_12_12 = e3 |
% 175.71/26.06 | all_12_20 = e3
% 175.71/26.06 | (404) all_12_0 = e3 | all_12_1 = e3 | all_12_4 = e3 | all_12_9 = e3 |
% 175.71/26.06 | all_12_16 = e3
% 175.71/26.06 | (405) all_12_0 = e4 | all_12_2 = e4 | all_12_6 = e4 | all_12_12 = e4 |
% 175.71/26.06 | all_12_20 = e4
% 175.71/26.06 | (406) all_12_0 = e4 | all_12_1 = e4 | all_12_4 = e4 | all_12_9 = e4 |
% 175.71/26.06 | all_12_16 = e4
% 175.71/26.06 |
% 175.71/26.06 | GROUND_INST: instantiating (function-axioms) with all_8_24, all_10_74, e0, e0,
% 175.71/26.06 | simplifying with (194), (245) gives:
% 175.71/26.06 | (407) all_10_74 = all_8_24
% 175.71/26.06 |
% 175.71/26.06 | GROUND_INST: instantiating (function-axioms) with all_6_24, all_10_74, e0, e0,
% 175.71/26.06 | simplifying with (168), (245) gives:
% 175.71/26.07 | (408) all_10_74 = all_6_24
% 175.71/26.07 |
% 175.71/26.07 | GROUND_INST: instantiating (function-axioms) with all_10_74, all_12_24, e0,
% 175.71/26.07 | e0, simplifying with (245), (333) gives:
% 175.71/26.07 | (409) all_12_24 = all_10_74
% 175.71/26.07 |
% 175.71/26.07 | GROUND_INST: instantiating (function-axioms) with all_4_24, all_12_24, e0, e0,
% 175.71/26.07 | simplifying with (17), (333) gives:
% 175.71/26.07 | (410) all_12_24 = all_4_24
% 175.71/26.07 |
% 175.71/26.07 | GROUND_INST: instantiating (function-axioms) with all_8_23, all_10_69, e1, e0,
% 175.71/26.07 | simplifying with (195), (246) gives:
% 175.71/26.07 | (411) all_10_69 = all_8_23
% 175.71/26.07 |
% 175.71/26.07 | GROUND_INST: instantiating (function-axioms) with all_6_19, all_10_69, e1, e0,
% 175.71/26.07 | simplifying with (169), (246) gives:
% 175.71/26.07 | (412) all_10_69 = all_6_19
% 175.71/26.07 |
% 175.71/26.07 | GROUND_INST: instantiating (function-axioms) with all_10_69, all_12_23, e1,
% 175.71/26.07 | e0, simplifying with (246), (334) gives:
% 175.71/26.07 | (413) all_12_23 = all_10_69
% 175.71/26.07 |
% 175.71/26.07 | GROUND_INST: instantiating (function-axioms) with all_4_22, all_12_23, e1, e0,
% 175.71/26.07 | simplifying with (18), (334) gives:
% 175.71/26.07 | (414) all_12_23 = all_4_22
% 175.71/26.07 |
% 175.71/26.07 | GROUND_INST: instantiating (function-axioms) with all_4_20, all_10_64, e2, e0,
% 175.71/26.07 | simplifying with (19), (247) gives:
% 175.71/26.07 | (415) all_10_64 = all_4_20
% 175.71/26.07 |
% 175.71/26.07 | GROUND_INST: instantiating (function-axioms) with all_10_64, all_12_22, e2,
% 175.71/26.07 | e0, simplifying with (247), (335) gives:
% 175.71/26.07 | (416) all_12_22 = all_10_64
% 175.71/26.07 |
% 175.71/26.07 | GROUND_INST: instantiating (function-axioms) with all_8_22, all_12_22, e2, e0,
% 175.71/26.07 | simplifying with (196), (335) gives:
% 175.71/26.07 | (417) all_12_22 = all_8_22
% 175.71/26.07 |
% 175.71/26.07 | GROUND_INST: instantiating (function-axioms) with all_6_14, all_12_22, e2, e0,
% 175.71/26.07 | simplifying with (170), (335) gives:
% 175.71/26.07 | (418) all_12_22 = all_6_14
% 175.71/26.07 |
% 175.71/26.07 | GROUND_INST: instantiating (function-axioms) with all_8_21, all_10_59, e3, e0,
% 175.71/26.07 | simplifying with (197), (248) gives:
% 175.71/26.07 | (419) all_10_59 = all_8_21
% 175.71/26.07 |
% 175.71/26.07 | GROUND_INST: instantiating (function-axioms) with all_4_18, all_10_59, e3, e0,
% 175.71/26.07 | simplifying with (20), (248) gives:
% 175.71/26.07 | (420) all_10_59 = all_4_18
% 175.71/26.07 |
% 175.71/26.07 | GROUND_INST: instantiating (function-axioms) with all_8_21, all_12_21, e3, e0,
% 175.71/26.07 | simplifying with (197), (336) gives:
% 175.71/26.07 | (421) all_12_21 = all_8_21
% 175.71/26.07 |
% 175.71/26.07 | GROUND_INST: instantiating (function-axioms) with all_6_9, all_12_21, e3, e0,
% 175.71/26.07 | simplifying with (171), (336) gives:
% 175.71/26.07 | (422) all_12_21 = all_6_9
% 175.71/26.07 |
% 175.71/26.07 | GROUND_INST: instantiating (function-axioms) with all_6_4, all_10_54, e4, e0,
% 175.71/26.07 | simplifying with (172), (249) gives:
% 175.71/26.07 | (423) all_10_54 = all_6_4
% 175.71/26.07 |
% 175.71/26.07 | GROUND_INST: instantiating (function-axioms) with all_4_16, all_10_54, e4, e0,
% 175.71/26.07 | simplifying with (21), (249) gives:
% 175.71/26.07 | (424) all_10_54 = all_4_16
% 175.71/26.07 |
% 175.71/26.07 | GROUND_INST: instantiating (function-axioms) with all_10_54, all_12_20, e4,
% 175.71/26.07 | e0, simplifying with (249), (337) gives:
% 175.71/26.07 | (425) all_12_20 = all_10_54
% 175.71/26.07 |
% 175.71/26.07 | GROUND_INST: instantiating (function-axioms) with all_8_20, all_12_20, e4, e0,
% 175.71/26.07 | simplifying with (198), (337) gives:
% 175.71/26.07 | (426) all_12_20 = all_8_20
% 175.71/26.07 |
% 175.71/26.07 | GROUND_INST: instantiating (function-axioms) with all_8_19, all_10_73, e0, e1,
% 175.71/26.07 | simplifying with (199), (255) gives:
% 175.71/26.07 | (427) all_10_73 = all_8_19
% 175.71/26.07 |
% 175.71/26.07 | GROUND_INST: instantiating (function-axioms) with all_6_23, all_10_73, e0, e1,
% 175.71/26.07 | simplifying with (173), (255) gives:
% 175.71/26.07 | (428) all_10_73 = all_6_23
% 175.71/26.07 |
% 175.71/26.07 | GROUND_INST: instantiating (function-axioms) with all_8_19, all_12_19, e0, e1,
% 175.71/26.07 | simplifying with (199), (338) gives:
% 175.71/26.07 | (429) all_12_19 = all_8_19
% 175.71/26.07 |
% 175.71/26.07 | GROUND_INST: instantiating (function-axioms) with all_4_23, all_12_19, e0, e1,
% 175.71/26.07 | simplifying with (22), (338) gives:
% 175.71/26.07 | (430) all_12_19 = all_4_23
% 175.71/26.07 |
% 175.71/26.07 | GROUND_INST: instantiating (function-axioms) with all_4_15, all_10_68, e1, e1,
% 175.71/26.07 | simplifying with (23), (256) gives:
% 175.71/26.07 | (431) all_10_68 = all_4_15
% 175.71/26.07 |
% 175.71/26.07 | GROUND_INST: instantiating (function-axioms) with all_10_68, all_12_15, e1,
% 175.71/26.07 | e1, simplifying with (256), (339) gives:
% 175.71/26.07 | (432) all_12_15 = all_10_68
% 175.71/26.07 |
% 175.71/26.07 | GROUND_INST: instantiating (function-axioms) with all_8_18, all_12_15, e1, e1,
% 175.71/26.07 | simplifying with (200), (339) gives:
% 175.71/26.07 | (433) all_12_15 = all_8_18
% 175.71/26.07 |
% 175.71/26.07 | GROUND_INST: instantiating (function-axioms) with all_6_18, all_12_15, e1, e1,
% 175.71/26.07 | simplifying with (174), (339) gives:
% 175.71/26.07 | (434) all_12_15 = all_6_18
% 175.71/26.07 |
% 175.71/26.07 | GROUND_INST: instantiating (function-axioms) with all_4_13, all_10_63, e2, e1,
% 175.71/26.07 | simplifying with (24), (257) gives:
% 175.71/26.07 | (435) all_10_63 = all_4_13
% 175.71/26.07 |
% 175.71/26.07 | GROUND_INST: instantiating (function-axioms) with all_10_63, all_12_14, e2,
% 175.71/26.07 | e1, simplifying with (257), (340) gives:
% 175.71/26.07 | (436) all_12_14 = all_10_63
% 175.71/26.07 |
% 175.71/26.07 | GROUND_INST: instantiating (function-axioms) with all_8_17, all_12_14, e2, e1,
% 175.71/26.07 | simplifying with (201), (340) gives:
% 175.71/26.07 | (437) all_12_14 = all_8_17
% 175.71/26.07 |
% 175.71/26.07 | GROUND_INST: instantiating (function-axioms) with all_6_13, all_12_14, e2, e1,
% 175.71/26.07 | simplifying with (175), (340) gives:
% 175.71/26.07 | (438) all_12_14 = all_6_13
% 175.71/26.07 |
% 175.71/26.07 | GROUND_INST: instantiating (function-axioms) with all_4_11, all_10_58, e3, e1,
% 175.71/26.07 | simplifying with (25), (258) gives:
% 175.71/26.07 | (439) all_10_58 = all_4_11
% 175.71/26.07 |
% 175.71/26.07 | GROUND_INST: instantiating (function-axioms) with all_10_58, all_12_13, e3,
% 175.71/26.07 | e1, simplifying with (258), (341) gives:
% 175.71/26.07 | (440) all_12_13 = all_10_58
% 175.71/26.07 |
% 175.71/26.07 | GROUND_INST: instantiating (function-axioms) with all_8_16, all_12_13, e3, e1,
% 175.71/26.07 | simplifying with (202), (341) gives:
% 175.71/26.07 | (441) all_12_13 = all_8_16
% 175.71/26.07 |
% 175.71/26.07 | GROUND_INST: instantiating (function-axioms) with all_6_8, all_12_13, e3, e1,
% 175.71/26.07 | simplifying with (176), (341) gives:
% 175.71/26.07 | (442) all_12_13 = all_6_8
% 175.71/26.07 |
% 175.71/26.07 | GROUND_INST: instantiating (function-axioms) with all_8_15, all_10_53, e4, e1,
% 175.71/26.07 | simplifying with (203), (259) gives:
% 175.71/26.07 | (443) all_10_53 = all_8_15
% 175.71/26.07 |
% 175.71/26.07 | GROUND_INST: instantiating (function-axioms) with all_6_3, all_10_53, e4, e1,
% 175.71/26.07 | simplifying with (177), (259) gives:
% 175.71/26.07 | (444) all_10_53 = all_6_3
% 175.71/26.07 |
% 175.71/26.07 | GROUND_INST: instantiating (function-axioms) with all_10_53, all_12_12, e4,
% 175.71/26.07 | e1, simplifying with (259), (342) gives:
% 175.71/26.07 | (445) all_12_12 = all_10_53
% 175.71/26.07 |
% 175.71/26.07 | GROUND_INST: instantiating (function-axioms) with all_4_9, all_12_12, e4, e1,
% 175.71/26.07 | simplifying with (26), (342) gives:
% 175.71/26.07 | (446) all_12_12 = all_4_9
% 175.71/26.07 |
% 175.71/26.07 | GROUND_INST: instantiating (function-axioms) with all_6_22, all_10_72, e0, e2,
% 175.71/26.07 | simplifying with (178), (265) gives:
% 175.71/26.07 | (447) all_10_72 = all_6_22
% 175.71/26.07 |
% 175.71/26.07 | GROUND_INST: instantiating (function-axioms) with all_4_21, all_10_72, e0, e2,
% 175.71/26.07 | simplifying with (27), (265) gives:
% 175.71/26.07 | (448) all_10_72 = all_4_21
% 175.71/26.07 |
% 175.71/26.07 | GROUND_INST: instantiating (function-axioms) with all_10_72, all_12_18, e0,
% 175.71/26.07 | e2, simplifying with (265), (343) gives:
% 175.71/26.07 | (449) all_12_18 = all_10_72
% 175.71/26.07 |
% 175.71/26.07 | GROUND_INST: instantiating (function-axioms) with all_8_14, all_12_18, e0, e2,
% 175.71/26.07 | simplifying with (204), (343) gives:
% 175.71/26.07 | (450) all_12_18 = all_8_14
% 175.71/26.07 |
% 175.71/26.07 | GROUND_INST: instantiating (function-axioms) with all_6_17, all_8_13, e1, e2,
% 175.71/26.07 | simplifying with (179), (205) gives:
% 175.71/26.07 | (451) all_8_13 = all_6_17
% 175.71/26.07 |
% 175.71/26.07 | GROUND_INST: instantiating (function-axioms) with all_8_13, all_10_67, e1, e2,
% 175.71/26.07 | simplifying with (205), (266) gives:
% 175.71/26.07 | (452) all_10_67 = all_8_13
% 175.71/26.07 |
% 175.71/26.07 | GROUND_INST: instantiating (function-axioms) with all_10_67, all_12_11, e1,
% 175.71/26.07 | e2, simplifying with (266), (344) gives:
% 175.71/26.07 | (453) all_12_11 = all_10_67
% 175.71/26.07 |
% 175.71/26.07 | GROUND_INST: instantiating (function-axioms) with all_4_14, all_12_11, e1, e2,
% 175.71/26.07 | simplifying with (28), (344) gives:
% 175.71/26.07 | (454) all_12_11 = all_4_14
% 175.71/26.07 |
% 175.71/26.07 | GROUND_INST: instantiating (function-axioms) with all_4_8, all_10_62, e2, e2,
% 175.71/26.07 | simplifying with (29), (267) gives:
% 175.71/26.07 | (455) all_10_62 = all_4_8
% 175.71/26.07 |
% 175.71/26.07 | GROUND_INST: instantiating (function-axioms) with all_10_62, all_12_8, e2, e2,
% 175.71/26.07 | simplifying with (267), (345) gives:
% 175.71/26.07 | (456) all_12_8 = all_10_62
% 175.71/26.07 |
% 175.71/26.07 | GROUND_INST: instantiating (function-axioms) with all_8_12, all_12_8, e2, e2,
% 175.71/26.07 | simplifying with (206), (345) gives:
% 175.71/26.07 | (457) all_12_8 = all_8_12
% 175.71/26.07 |
% 175.71/26.07 | GROUND_INST: instantiating (function-axioms) with all_6_12, all_12_8, e2, e2,
% 175.71/26.07 | simplifying with (180), (345) gives:
% 175.71/26.07 | (458) all_12_8 = all_6_12
% 175.71/26.07 |
% 175.71/26.07 | GROUND_INST: instantiating (function-axioms) with all_8_11, all_10_57, e3, e2,
% 175.71/26.07 | simplifying with (207), (268) gives:
% 175.71/26.07 | (459) all_10_57 = all_8_11
% 175.71/26.07 |
% 175.71/26.07 | GROUND_INST: instantiating (function-axioms) with all_6_7, all_10_57, e3, e2,
% 175.71/26.07 | simplifying with (181), (268) gives:
% 175.71/26.07 | (460) all_10_57 = all_6_7
% 175.71/26.07 |
% 175.71/26.07 | GROUND_INST: instantiating (function-axioms) with all_10_57, all_12_7, e3, e2,
% 175.71/26.07 | simplifying with (268), (346) gives:
% 175.71/26.07 | (461) all_12_7 = all_10_57
% 175.71/26.07 |
% 175.71/26.07 | GROUND_INST: instantiating (function-axioms) with all_4_6, all_12_7, e3, e2,
% 175.71/26.07 | simplifying with (30), (346) gives:
% 175.71/26.07 | (462) all_12_7 = all_4_6
% 175.71/26.07 |
% 175.71/26.07 | GROUND_INST: instantiating (function-axioms) with all_4_4, all_10_52, e4, e2,
% 175.71/26.07 | simplifying with (31), (269) gives:
% 175.71/26.07 | (463) all_10_52 = all_4_4
% 175.71/26.07 |
% 175.71/26.07 | GROUND_INST: instantiating (function-axioms) with all_10_52, all_12_6, e4, e2,
% 175.71/26.07 | simplifying with (269), (347) gives:
% 175.71/26.07 | (464) all_12_6 = all_10_52
% 175.71/26.07 |
% 175.71/26.07 | GROUND_INST: instantiating (function-axioms) with all_8_10, all_12_6, e4, e2,
% 175.71/26.07 | simplifying with (208), (347) gives:
% 175.71/26.07 | (465) all_12_6 = all_8_10
% 175.71/26.07 |
% 175.71/26.07 | GROUND_INST: instantiating (function-axioms) with all_6_2, all_12_6, e4, e2,
% 175.71/26.07 | simplifying with (182), (347) gives:
% 175.71/26.07 | (466) all_12_6 = all_6_2
% 175.71/26.07 |
% 175.71/26.08 | GROUND_INST: instantiating (function-axioms) with all_6_21, all_8_9, e0, e3,
% 175.71/26.08 | simplifying with (183), (209) gives:
% 175.71/26.08 | (467) all_8_9 = all_6_21
% 175.71/26.08 |
% 175.71/26.08 | GROUND_INST: instantiating (function-axioms) with all_8_9, all_10_71, e0, e3,
% 175.71/26.08 | simplifying with (209), (275) gives:
% 175.71/26.08 | (468) all_10_71 = all_8_9
% 175.71/26.08 |
% 175.71/26.08 | GROUND_INST: instantiating (function-axioms) with all_10_71, all_12_17, e0,
% 175.71/26.08 | e3, simplifying with (275), (348) gives:
% 175.71/26.08 | (469) all_12_17 = all_10_71
% 175.71/26.08 |
% 175.71/26.08 | GROUND_INST: instantiating (function-axioms) with all_4_19, all_12_17, e0, e3,
% 175.71/26.08 | simplifying with (32), (348) gives:
% 175.71/26.08 | (470) all_12_17 = all_4_19
% 175.71/26.08 |
% 175.71/26.08 | GROUND_INST: instantiating (function-axioms) with all_8_8, all_10_66, e1, e3,
% 175.71/26.08 | simplifying with (210), (276) gives:
% 175.71/26.08 | (471) all_10_66 = all_8_8
% 175.71/26.08 |
% 175.71/26.08 | GROUND_INST: instantiating (function-axioms) with all_4_12, all_10_66, e1, e3,
% 175.71/26.08 | simplifying with (33), (276) gives:
% 175.71/26.08 | (472) all_10_66 = all_4_12
% 175.71/26.08 |
% 175.71/26.08 | GROUND_INST: instantiating (function-axioms) with all_10_66, all_12_10, e1,
% 175.71/26.08 | e3, simplifying with (276), (349) gives:
% 175.71/26.08 | (473) all_12_10 = all_10_66
% 175.71/26.08 |
% 175.71/26.08 | GROUND_INST: instantiating (function-axioms) with all_6_16, all_12_10, e1, e3,
% 175.71/26.08 | simplifying with (184), (349) gives:
% 175.71/26.08 | (474) all_12_10 = all_6_16
% 175.71/26.08 |
% 175.71/26.08 | GROUND_INST: instantiating (function-axioms) with all_8_7, all_10_61, e2, e3,
% 175.71/26.08 | simplifying with (211), (277) gives:
% 175.71/26.08 | (475) all_10_61 = all_8_7
% 175.71/26.08 |
% 175.71/26.08 | GROUND_INST: instantiating (function-axioms) with all_6_11, all_10_61, e2, e3,
% 175.71/26.08 | simplifying with (185), (277) gives:
% 175.71/26.08 | (476) all_10_61 = all_6_11
% 175.71/26.08 |
% 175.71/26.08 | GROUND_INST: instantiating (function-axioms) with all_10_61, all_12_5, e2, e3,
% 175.71/26.08 | simplifying with (277), (350) gives:
% 175.71/26.08 | (477) all_12_5 = all_10_61
% 175.71/26.08 |
% 175.71/26.08 | GROUND_INST: instantiating (function-axioms) with all_4_7, all_12_5, e2, e3,
% 175.71/26.08 | simplifying with (34), (350) gives:
% 175.71/26.08 | (478) all_12_5 = all_4_7
% 175.71/26.08 |
% 175.71/26.08 | GROUND_INST: instantiating (function-axioms) with all_8_6, all_10_56, e3, e3,
% 175.71/26.08 | simplifying with (212), (278) gives:
% 175.71/26.08 | (479) all_10_56 = all_8_6
% 175.71/26.08 |
% 175.71/26.08 | GROUND_INST: instantiating (function-axioms) with all_6_6, all_10_56, e3, e3,
% 175.71/26.08 | simplifying with (186), (278) gives:
% 175.71/26.08 | (480) all_10_56 = all_6_6
% 175.71/26.08 |
% 175.71/26.08 | GROUND_INST: instantiating (function-axioms) with all_10_56, all_12_3, e3, e3,
% 175.71/26.08 | simplifying with (278), (351) gives:
% 175.71/26.08 | (481) all_12_3 = all_10_56
% 175.71/26.08 |
% 175.71/26.08 | GROUND_INST: instantiating (function-axioms) with all_4_3, all_12_3, e3, e3,
% 175.71/26.08 | simplifying with (35), (351) gives:
% 175.71/26.08 | (482) all_12_3 = all_4_3
% 175.71/26.08 |
% 175.71/26.08 | GROUND_INST: instantiating (function-axioms) with all_6_1, all_8_5, e4, e3,
% 175.71/26.08 | simplifying with (187), (213) gives:
% 175.71/26.08 | (483) all_8_5 = all_6_1
% 175.71/26.08 |
% 175.71/26.08 | GROUND_INST: instantiating (function-axioms) with all_8_5, all_10_51, e4, e3,
% 175.71/26.08 | simplifying with (213), (279) gives:
% 175.71/26.08 | (484) all_10_51 = all_8_5
% 175.71/26.08 |
% 175.71/26.08 | GROUND_INST: instantiating (function-axioms) with all_10_51, all_12_2, e4, e3,
% 175.71/26.08 | simplifying with (279), (352) gives:
% 175.71/26.08 | (485) all_12_2 = all_10_51
% 175.71/26.08 |
% 175.71/26.08 | GROUND_INST: instantiating (function-axioms) with all_4_1, all_12_2, e4, e3,
% 175.71/26.08 | simplifying with (36), (352) gives:
% 175.71/26.08 | (486) all_12_2 = all_4_1
% 175.71/26.08 |
% 175.71/26.08 | GROUND_INST: instantiating (function-axioms) with all_6_20, all_10_70, e0, e4,
% 175.71/26.08 | simplifying with (188), (285) gives:
% 175.71/26.08 | (487) all_10_70 = all_6_20
% 175.71/26.08 |
% 175.71/26.08 | GROUND_INST: instantiating (function-axioms) with all_4_17, all_10_70, e0, e4,
% 175.71/26.08 | simplifying with (37), (285) gives:
% 175.71/26.08 | (488) all_10_70 = all_4_17
% 175.71/26.08 |
% 175.71/26.08 | GROUND_INST: instantiating (function-axioms) with all_10_70, all_12_16, e0,
% 175.71/26.08 | e4, simplifying with (285), (353) gives:
% 175.71/26.08 | (489) all_12_16 = all_10_70
% 175.71/26.08 |
% 175.71/26.08 | GROUND_INST: instantiating (function-axioms) with all_8_4, all_12_16, e0, e4,
% 175.71/26.08 | simplifying with (214), (353) gives:
% 175.71/26.08 | (490) all_12_16 = all_8_4
% 175.71/26.08 |
% 175.71/26.08 | GROUND_INST: instantiating (function-axioms) with all_6_15, all_8_3, e1, e4,
% 175.71/26.08 | simplifying with (189), (215) gives:
% 175.71/26.08 | (491) all_8_3 = all_6_15
% 175.71/26.08 |
% 175.71/26.08 | GROUND_INST: instantiating (function-axioms) with all_8_3, all_10_65, e1, e4,
% 175.71/26.08 | simplifying with (215), (286) gives:
% 175.71/26.08 | (492) all_10_65 = all_8_3
% 175.71/26.08 |
% 175.71/26.08 | GROUND_INST: instantiating (function-axioms) with all_10_65, all_12_9, e1, e4,
% 175.71/26.08 | simplifying with (286), (354) gives:
% 175.71/26.08 | (493) all_12_9 = all_10_65
% 175.71/26.08 |
% 175.71/26.08 | GROUND_INST: instantiating (function-axioms) with all_4_10, all_12_9, e1, e4,
% 175.71/26.08 | simplifying with (38), (354) gives:
% 175.71/26.08 | (494) all_12_9 = all_4_10
% 175.71/26.08 |
% 175.71/26.08 | GROUND_INST: instantiating (function-axioms) with all_8_2, all_10_60, e2, e4,
% 175.71/26.08 | simplifying with (216), (287) gives:
% 175.71/26.08 | (495) all_10_60 = all_8_2
% 175.71/26.08 |
% 175.71/26.08 | GROUND_INST: instantiating (function-axioms) with all_6_10, all_10_60, e2, e4,
% 175.71/26.08 | simplifying with (190), (287) gives:
% 175.71/26.08 | (496) all_10_60 = all_6_10
% 175.71/26.08 |
% 175.71/26.08 | GROUND_INST: instantiating (function-axioms) with all_10_60, all_12_4, e2, e4,
% 175.71/26.08 | simplifying with (287), (355) gives:
% 175.71/26.08 | (497) all_12_4 = all_10_60
% 175.71/26.08 |
% 175.71/26.08 | GROUND_INST: instantiating (function-axioms) with all_4_5, all_12_4, e2, e4,
% 175.71/26.08 | simplifying with (39), (355) gives:
% 175.71/26.08 | (498) all_12_4 = all_4_5
% 175.71/26.08 |
% 175.71/26.08 | GROUND_INST: instantiating (function-axioms) with all_6_5, all_10_55, e3, e4,
% 175.71/26.08 | simplifying with (191), (288) gives:
% 175.71/26.08 | (499) all_10_55 = all_6_5
% 175.71/26.08 |
% 175.71/26.08 | GROUND_INST: instantiating (function-axioms) with all_4_2, all_10_55, e3, e4,
% 175.71/26.08 | simplifying with (40), (288) gives:
% 175.71/26.08 | (500) all_10_55 = all_4_2
% 175.71/26.08 |
% 175.71/26.08 | GROUND_INST: instantiating (function-axioms) with all_10_55, all_12_1, e3, e4,
% 175.71/26.08 | simplifying with (288), (356) gives:
% 175.71/26.08 | (501) all_12_1 = all_10_55
% 175.71/26.08 |
% 175.71/26.08 | GROUND_INST: instantiating (function-axioms) with all_8_1, all_12_1, e3, e4,
% 175.71/26.08 | simplifying with (217), (356) gives:
% 175.71/26.08 | (502) all_12_1 = all_8_1
% 175.71/26.08 |
% 175.71/26.08 | GROUND_INST: instantiating (function-axioms) with all_8_0, all_10_50, e4, e4,
% 175.71/26.08 | simplifying with (218), (289) gives:
% 175.71/26.08 | (503) all_10_50 = all_8_0
% 175.71/26.08 |
% 175.71/26.08 | GROUND_INST: instantiating (function-axioms) with all_6_0, all_10_50, e4, e4,
% 175.71/26.08 | simplifying with (192), (289) gives:
% 175.71/26.08 | (504) all_10_50 = all_6_0
% 175.71/26.08 |
% 175.71/26.08 | GROUND_INST: instantiating (function-axioms) with all_10_50, all_12_0, e4, e4,
% 175.71/26.08 | simplifying with (289), (357) gives:
% 175.71/26.08 | (505) all_12_0 = all_10_50
% 175.71/26.08 |
% 175.71/26.08 | GROUND_INST: instantiating (function-axioms) with all_4_0, all_12_0, e4, e4,
% 175.71/26.08 | simplifying with (41), (357) gives:
% 175.71/26.08 | (506) all_12_0 = all_4_0
% 175.71/26.08 |
% 175.71/26.08 | COMBINE_EQS: (505), (506) imply:
% 175.71/26.08 | (507) all_10_50 = all_4_0
% 175.71/26.08 |
% 175.71/26.08 | SIMP: (507) implies:
% 175.71/26.08 | (508) all_10_50 = all_4_0
% 175.71/26.08 |
% 175.71/26.08 | COMBINE_EQS: (501), (502) imply:
% 175.71/26.08 | (509) all_10_55 = all_8_1
% 175.71/26.08 |
% 175.71/26.08 | SIMP: (509) implies:
% 175.71/26.08 | (510) all_10_55 = all_8_1
% 175.71/26.08 |
% 175.71/26.08 | COMBINE_EQS: (485), (486) imply:
% 175.71/26.08 | (511) all_10_51 = all_4_1
% 175.71/26.08 |
% 175.71/26.08 | SIMP: (511) implies:
% 175.71/26.08 | (512) all_10_51 = all_4_1
% 175.71/26.08 |
% 175.71/26.08 | COMBINE_EQS: (481), (482) imply:
% 175.71/26.08 | (513) all_10_56 = all_4_3
% 175.71/26.08 |
% 175.71/26.08 | SIMP: (513) implies:
% 175.71/26.08 | (514) all_10_56 = all_4_3
% 175.71/26.08 |
% 175.71/26.08 | COMBINE_EQS: (497), (498) imply:
% 175.71/26.08 | (515) all_10_60 = all_4_5
% 175.71/26.08 |
% 175.71/26.08 | SIMP: (515) implies:
% 175.71/26.08 | (516) all_10_60 = all_4_5
% 175.71/26.08 |
% 175.71/26.08 | COMBINE_EQS: (477), (478) imply:
% 175.71/26.08 | (517) all_10_61 = all_4_7
% 175.71/26.08 |
% 175.71/26.08 | SIMP: (517) implies:
% 175.71/26.08 | (518) all_10_61 = all_4_7
% 175.71/26.08 |
% 175.71/26.08 | COMBINE_EQS: (464), (465) imply:
% 175.71/26.08 | (519) all_10_52 = all_8_10
% 175.71/26.08 |
% 175.71/26.08 | SIMP: (519) implies:
% 175.71/26.08 | (520) all_10_52 = all_8_10
% 175.71/26.08 |
% 175.71/26.08 | COMBINE_EQS: (465), (466) imply:
% 175.71/26.08 | (521) all_8_10 = all_6_2
% 175.71/26.08 |
% 175.71/26.08 | COMBINE_EQS: (461), (462) imply:
% 175.71/26.08 | (522) all_10_57 = all_4_6
% 175.71/26.08 |
% 175.71/26.08 | SIMP: (522) implies:
% 175.71/26.08 | (523) all_10_57 = all_4_6
% 175.71/26.08 |
% 175.71/26.08 | COMBINE_EQS: (456), (457) imply:
% 175.71/26.08 | (524) all_10_62 = all_8_12
% 175.71/26.08 |
% 175.71/26.08 | SIMP: (524) implies:
% 175.71/26.08 | (525) all_10_62 = all_8_12
% 175.71/26.08 |
% 175.71/26.08 | COMBINE_EQS: (457), (458) imply:
% 175.71/26.08 | (526) all_8_12 = all_6_12
% 175.71/26.08 |
% 175.71/26.08 | COMBINE_EQS: (493), (494) imply:
% 175.71/26.08 | (527) all_10_65 = all_4_10
% 175.71/26.08 |
% 175.71/26.08 | SIMP: (527) implies:
% 175.71/26.08 | (528) all_10_65 = all_4_10
% 175.71/26.08 |
% 175.71/26.08 | COMBINE_EQS: (473), (474) imply:
% 175.71/26.08 | (529) all_10_66 = all_6_16
% 175.71/26.08 |
% 175.71/26.08 | SIMP: (529) implies:
% 175.71/26.08 | (530) all_10_66 = all_6_16
% 175.71/26.08 |
% 175.71/26.08 | COMBINE_EQS: (453), (454) imply:
% 175.71/26.08 | (531) all_10_67 = all_4_14
% 175.71/26.08 |
% 175.71/26.08 | SIMP: (531) implies:
% 175.71/26.08 | (532) all_10_67 = all_4_14
% 175.71/26.08 |
% 175.71/26.08 | COMBINE_EQS: (445), (446) imply:
% 175.71/26.08 | (533) all_10_53 = all_4_9
% 175.71/26.08 |
% 175.71/26.08 | SIMP: (533) implies:
% 175.71/26.08 | (534) all_10_53 = all_4_9
% 175.71/26.08 |
% 175.71/26.08 | COMBINE_EQS: (440), (441) imply:
% 175.71/26.08 | (535) all_10_58 = all_8_16
% 175.71/26.08 |
% 175.71/26.08 | SIMP: (535) implies:
% 175.71/26.08 | (536) all_10_58 = all_8_16
% 175.71/26.08 |
% 175.71/26.08 | COMBINE_EQS: (441), (442) imply:
% 175.71/26.08 | (537) all_8_16 = all_6_8
% 175.71/26.08 |
% 175.71/26.08 | COMBINE_EQS: (436), (437) imply:
% 175.71/26.08 | (538) all_10_63 = all_8_17
% 175.71/26.08 |
% 175.71/26.08 | SIMP: (538) implies:
% 175.71/26.08 | (539) all_10_63 = all_8_17
% 175.71/26.08 |
% 175.71/26.08 | COMBINE_EQS: (437), (438) imply:
% 175.71/26.08 | (540) all_8_17 = all_6_13
% 175.71/26.08 |
% 175.71/26.08 | COMBINE_EQS: (432), (433) imply:
% 175.71/26.08 | (541) all_10_68 = all_8_18
% 175.71/26.08 |
% 175.71/26.08 | SIMP: (541) implies:
% 175.71/26.08 | (542) all_10_68 = all_8_18
% 175.71/26.08 |
% 175.71/26.08 | COMBINE_EQS: (433), (434) imply:
% 175.71/26.08 | (543) all_8_18 = all_6_18
% 175.71/26.08 |
% 175.71/26.08 | COMBINE_EQS: (489), (490) imply:
% 175.71/26.08 | (544) all_10_70 = all_8_4
% 175.71/26.08 |
% 175.71/26.08 | SIMP: (544) implies:
% 175.71/26.08 | (545) all_10_70 = all_8_4
% 175.71/26.08 |
% 175.71/26.08 | COMBINE_EQS: (469), (470) imply:
% 175.71/26.08 | (546) all_10_71 = all_4_19
% 175.71/26.08 |
% 175.71/26.08 | SIMP: (546) implies:
% 175.71/26.08 | (547) all_10_71 = all_4_19
% 175.71/26.08 |
% 175.71/26.08 | COMBINE_EQS: (449), (450) imply:
% 175.71/26.08 | (548) all_10_72 = all_8_14
% 175.71/26.08 |
% 175.71/26.08 | SIMP: (548) implies:
% 175.71/26.08 | (549) all_10_72 = all_8_14
% 175.71/26.08 |
% 175.71/26.08 | COMBINE_EQS: (429), (430) imply:
% 175.71/26.08 | (550) all_8_19 = all_4_23
% 175.71/26.08 |
% 175.71/26.08 | SIMP: (550) implies:
% 175.71/26.08 | (551) all_8_19 = all_4_23
% 175.71/26.08 |
% 175.71/26.08 | COMBINE_EQS: (425), (426) imply:
% 175.71/26.08 | (552) all_10_54 = all_8_20
% 175.71/26.08 |
% 175.71/26.08 | SIMP: (552) implies:
% 175.71/26.08 | (553) all_10_54 = all_8_20
% 175.71/26.08 |
% 175.71/26.09 | COMBINE_EQS: (421), (422) imply:
% 175.71/26.09 | (554) all_8_21 = all_6_9
% 175.71/26.09 |
% 175.71/26.09 | SIMP: (554) implies:
% 175.71/26.09 | (555) all_8_21 = all_6_9
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (416), (417) imply:
% 175.71/26.09 | (556) all_10_64 = all_8_22
% 175.71/26.09 |
% 175.71/26.09 | SIMP: (556) implies:
% 175.71/26.09 | (557) all_10_64 = all_8_22
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (417), (418) imply:
% 175.71/26.09 | (558) all_8_22 = all_6_14
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (413), (414) imply:
% 175.71/26.09 | (559) all_10_69 = all_4_22
% 175.71/26.09 |
% 175.71/26.09 | SIMP: (559) implies:
% 175.71/26.09 | (560) all_10_69 = all_4_22
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (409), (410) imply:
% 175.71/26.09 | (561) all_10_74 = all_4_24
% 175.71/26.09 |
% 175.71/26.09 | SIMP: (561) implies:
% 175.71/26.09 | (562) all_10_74 = all_4_24
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (503), (504) imply:
% 175.71/26.09 | (563) all_8_0 = all_6_0
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (503), (508) imply:
% 175.71/26.09 | (564) all_8_0 = all_4_0
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (484), (512) imply:
% 175.71/26.09 | (565) all_8_5 = all_4_1
% 175.71/26.09 |
% 175.71/26.09 | SIMP: (565) implies:
% 175.71/26.09 | (566) all_8_5 = all_4_1
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (463), (520) imply:
% 175.71/26.09 | (567) all_8_10 = all_4_4
% 175.71/26.09 |
% 175.71/26.09 | SIMP: (567) implies:
% 175.71/26.09 | (568) all_8_10 = all_4_4
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (443), (444) imply:
% 175.71/26.09 | (569) all_8_15 = all_6_3
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (443), (534) imply:
% 175.71/26.09 | (570) all_8_15 = all_4_9
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (423), (553) imply:
% 175.71/26.09 | (571) all_8_20 = all_6_4
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (424), (553) imply:
% 175.71/26.09 | (572) all_8_20 = all_4_16
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (499), (510) imply:
% 175.71/26.09 | (573) all_8_1 = all_6_5
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (500), (510) imply:
% 175.71/26.09 | (574) all_8_1 = all_4_2
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (479), (480) imply:
% 175.71/26.09 | (575) all_8_6 = all_6_6
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (479), (514) imply:
% 175.71/26.09 | (576) all_8_6 = all_4_3
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (459), (460) imply:
% 175.71/26.09 | (577) all_8_11 = all_6_7
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (459), (523) imply:
% 175.71/26.09 | (578) all_8_11 = all_4_6
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (439), (536) imply:
% 175.71/26.09 | (579) all_8_16 = all_4_11
% 175.71/26.09 |
% 175.71/26.09 | SIMP: (579) implies:
% 175.71/26.09 | (580) all_8_16 = all_4_11
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (419), (420) imply:
% 175.71/26.09 | (581) all_8_21 = all_4_18
% 175.71/26.09 |
% 175.71/26.09 | SIMP: (581) implies:
% 175.71/26.09 | (582) all_8_21 = all_4_18
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (495), (516) imply:
% 175.71/26.09 | (583) all_8_2 = all_4_5
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (495), (496) imply:
% 175.71/26.09 | (584) all_8_2 = all_6_10
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (475), (476) imply:
% 175.71/26.09 | (585) all_8_7 = all_6_11
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (475), (518) imply:
% 175.71/26.09 | (586) all_8_7 = all_4_7
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (455), (525) imply:
% 175.71/26.09 | (587) all_8_12 = all_4_8
% 175.71/26.09 |
% 175.71/26.09 | SIMP: (587) implies:
% 175.71/26.09 | (588) all_8_12 = all_4_8
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (435), (539) imply:
% 175.71/26.09 | (589) all_8_17 = all_4_13
% 175.71/26.09 |
% 175.71/26.09 | SIMP: (589) implies:
% 175.71/26.09 | (590) all_8_17 = all_4_13
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (415), (557) imply:
% 175.71/26.09 | (591) all_8_22 = all_4_20
% 175.71/26.09 |
% 175.71/26.09 | SIMP: (591) implies:
% 175.71/26.09 | (592) all_8_22 = all_4_20
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (492), (528) imply:
% 175.71/26.09 | (593) all_8_3 = all_4_10
% 175.71/26.09 |
% 175.71/26.09 | SIMP: (593) implies:
% 175.71/26.09 | (594) all_8_3 = all_4_10
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (471), (472) imply:
% 175.71/26.09 | (595) all_8_8 = all_4_12
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (471), (530) imply:
% 175.71/26.09 | (596) all_8_8 = all_6_16
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (452), (532) imply:
% 175.71/26.09 | (597) all_8_13 = all_4_14
% 175.71/26.09 |
% 175.71/26.09 | SIMP: (597) implies:
% 175.71/26.09 | (598) all_8_13 = all_4_14
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (431), (542) imply:
% 175.71/26.09 | (599) all_8_18 = all_4_15
% 175.71/26.09 |
% 175.71/26.09 | SIMP: (599) implies:
% 175.71/26.09 | (600) all_8_18 = all_4_15
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (411), (412) imply:
% 175.71/26.09 | (601) all_8_23 = all_6_19
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (411), (560) imply:
% 175.71/26.09 | (602) all_8_23 = all_4_22
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (488), (545) imply:
% 175.71/26.09 | (603) all_8_4 = all_4_17
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (487), (545) imply:
% 175.71/26.09 | (604) all_8_4 = all_6_20
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (468), (547) imply:
% 175.71/26.09 | (605) all_8_9 = all_4_19
% 175.71/26.09 |
% 175.71/26.09 | SIMP: (605) implies:
% 175.71/26.09 | (606) all_8_9 = all_4_19
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (448), (549) imply:
% 175.71/26.09 | (607) all_8_14 = all_4_21
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (447), (549) imply:
% 175.71/26.09 | (608) all_8_14 = all_6_22
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (427), (428) imply:
% 175.71/26.09 | (609) all_8_19 = all_6_23
% 175.71/26.09 |
% 175.71/26.09 | SIMP: (609) implies:
% 175.71/26.09 | (610) all_8_19 = all_6_23
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (407), (408) imply:
% 175.71/26.09 | (611) all_8_24 = all_6_24
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (407), (562) imply:
% 175.71/26.09 | (612) all_8_24 = all_4_24
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (563), (564) imply:
% 175.71/26.09 | (613) all_6_0 = all_4_0
% 175.71/26.09 |
% 175.71/26.09 | SIMP: (613) implies:
% 175.71/26.09 | (614) all_6_0 = all_4_0
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (573), (574) imply:
% 175.71/26.09 | (615) all_6_5 = all_4_2
% 175.71/26.09 |
% 175.71/26.09 | SIMP: (615) implies:
% 175.71/26.09 | (616) all_6_5 = all_4_2
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (583), (584) imply:
% 175.71/26.09 | (617) all_6_10 = all_4_5
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (491), (594) imply:
% 175.71/26.09 | (618) all_6_15 = all_4_10
% 175.71/26.09 |
% 175.71/26.09 | SIMP: (618) implies:
% 175.71/26.09 | (619) all_6_15 = all_4_10
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (603), (604) imply:
% 175.71/26.09 | (620) all_6_20 = all_4_17
% 175.71/26.09 |
% 175.71/26.09 | SIMP: (620) implies:
% 175.71/26.09 | (621) all_6_20 = all_4_17
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (483), (566) imply:
% 175.71/26.09 | (622) all_6_1 = all_4_1
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (575), (576) imply:
% 175.71/26.09 | (623) all_6_6 = all_4_3
% 175.71/26.09 |
% 175.71/26.09 | SIMP: (623) implies:
% 175.71/26.09 | (624) all_6_6 = all_4_3
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (585), (586) imply:
% 175.71/26.09 | (625) all_6_11 = all_4_7
% 175.71/26.09 |
% 175.71/26.09 | SIMP: (625) implies:
% 175.71/26.09 | (626) all_6_11 = all_4_7
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (595), (596) imply:
% 175.71/26.09 | (627) all_6_16 = all_4_12
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (467), (606) imply:
% 175.71/26.09 | (628) all_6_21 = all_4_19
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (521), (568) imply:
% 175.71/26.09 | (629) all_6_2 = all_4_4
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (577), (578) imply:
% 175.71/26.09 | (630) all_6_7 = all_4_6
% 175.71/26.09 |
% 175.71/26.09 | SIMP: (630) implies:
% 175.71/26.09 | (631) all_6_7 = all_4_6
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (526), (588) imply:
% 175.71/26.09 | (632) all_6_12 = all_4_8
% 175.71/26.09 |
% 175.71/26.09 | SIMP: (632) implies:
% 175.71/26.09 | (633) all_6_12 = all_4_8
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (451), (598) imply:
% 175.71/26.09 | (634) all_6_17 = all_4_14
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (607), (608) imply:
% 175.71/26.09 | (635) all_6_22 = all_4_21
% 175.71/26.09 |
% 175.71/26.09 | SIMP: (635) implies:
% 175.71/26.09 | (636) all_6_22 = all_4_21
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (569), (570) imply:
% 175.71/26.09 | (637) all_6_3 = all_4_9
% 175.71/26.09 |
% 175.71/26.09 | SIMP: (637) implies:
% 175.71/26.09 | (638) all_6_3 = all_4_9
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (537), (580) imply:
% 175.71/26.09 | (639) all_6_8 = all_4_11
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (540), (590) imply:
% 175.71/26.09 | (640) all_6_13 = all_4_13
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (543), (600) imply:
% 175.71/26.09 | (641) all_6_18 = all_4_15
% 175.71/26.09 |
% 175.71/26.09 | SIMP: (641) implies:
% 175.71/26.09 | (642) all_6_18 = all_4_15
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (551), (610) imply:
% 175.71/26.09 | (643) all_6_23 = all_4_23
% 175.71/26.09 |
% 175.71/26.09 | SIMP: (643) implies:
% 175.71/26.09 | (644) all_6_23 = all_4_23
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (571), (572) imply:
% 175.71/26.09 | (645) all_6_4 = all_4_16
% 175.71/26.09 |
% 175.71/26.09 | SIMP: (645) implies:
% 175.71/26.09 | (646) all_6_4 = all_4_16
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (555), (582) imply:
% 175.71/26.09 | (647) all_6_9 = all_4_18
% 175.71/26.09 |
% 175.71/26.09 | SIMP: (647) implies:
% 175.71/26.09 | (648) all_6_9 = all_4_18
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (558), (592) imply:
% 175.71/26.09 | (649) all_6_14 = all_4_20
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (601), (602) imply:
% 175.71/26.09 | (650) all_6_19 = all_4_22
% 175.71/26.09 |
% 175.71/26.09 | SIMP: (650) implies:
% 175.71/26.09 | (651) all_6_19 = all_4_22
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (611), (612) imply:
% 175.71/26.09 | (652) all_6_24 = all_4_24
% 175.71/26.09 |
% 175.71/26.09 | SIMP: (652) implies:
% 175.71/26.09 | (653) all_6_24 = all_4_24
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (428), (644) imply:
% 175.71/26.09 | (654) all_10_73 = all_4_23
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (417), (592) imply:
% 175.71/26.09 | (655) all_12_22 = all_4_20
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (422), (648) imply:
% 175.71/26.09 | (656) all_12_21 = all_4_18
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (426), (572) imply:
% 175.71/26.09 | (657) all_12_20 = all_4_16
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (450), (607) imply:
% 175.71/26.09 | (658) all_12_18 = all_4_21
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (490), (603) imply:
% 175.71/26.09 | (659) all_12_16 = all_4_17
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (433), (600) imply:
% 175.71/26.09 | (660) all_12_15 = all_4_15
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (437), (590) imply:
% 175.71/26.09 | (661) all_12_14 = all_4_13
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (441), (580) imply:
% 175.71/26.09 | (662) all_12_13 = all_4_11
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (474), (627) imply:
% 175.71/26.09 | (663) all_12_10 = all_4_12
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (457), (588) imply:
% 175.71/26.09 | (664) all_12_8 = all_4_8
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (465), (568) imply:
% 175.71/26.09 | (665) all_12_6 = all_4_4
% 175.71/26.09 |
% 175.71/26.09 | COMBINE_EQS: (502), (574) imply:
% 175.71/26.09 | (666) all_12_1 = all_4_2
% 175.71/26.09 |
% 175.71/26.09 | REDUCE: (167), (614), (622) imply:
% 175.71/26.09 | (667) ~ (all_4_0 = all_4_1)
% 175.71/26.09 |
% 175.71/26.09 | REDUCE: (166), (614), (629) imply:
% 175.71/26.09 | (668) ~ (all_4_0 = all_4_4)
% 175.71/26.09 |
% 175.71/26.09 | REDUCE: (165), (614), (638) imply:
% 175.71/26.09 | (669) ~ (all_4_0 = all_4_9)
% 175.71/26.09 |
% 175.71/26.09 | REDUCE: (164), (614), (646) imply:
% 175.71/26.09 | (670) ~ (all_4_0 = all_4_16)
% 175.71/26.09 |
% 175.71/26.09 | REDUCE: (163), (614), (616) imply:
% 175.71/26.09 | (671) ~ (all_4_0 = all_4_2)
% 175.71/26.09 |
% 175.71/26.09 | REDUCE: (162), (614), (617) imply:
% 175.71/26.09 | (672) ~ (all_4_0 = all_4_5)
% 175.71/26.09 |
% 175.71/26.09 | REDUCE: (161), (614), (619) imply:
% 175.71/26.09 | (673) ~ (all_4_0 = all_4_10)
% 175.71/26.09 |
% 175.71/26.09 | REDUCE: (160), (614), (621) imply:
% 175.71/26.09 | (674) ~ (all_4_0 = all_4_17)
% 175.71/26.09 |
% 175.71/26.09 | REDUCE: (159), (622), (629) imply:
% 175.71/26.09 | (675) ~ (all_4_1 = all_4_4)
% 175.71/26.09 |
% 175.71/26.09 | REDUCE: (158), (622), (638) imply:
% 175.71/26.09 | (676) ~ (all_4_1 = all_4_9)
% 175.71/26.09 |
% 175.71/26.09 | REDUCE: (157), (622), (646) imply:
% 175.71/26.10 | (677) ~ (all_4_1 = all_4_16)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (156), (622), (624) imply:
% 175.71/26.10 | (678) ~ (all_4_1 = all_4_3)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (155), (622), (626) imply:
% 175.71/26.10 | (679) ~ (all_4_1 = all_4_7)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (154), (622), (627) imply:
% 175.71/26.10 | (680) ~ (all_4_1 = all_4_12)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (153), (622), (628) imply:
% 175.71/26.10 | (681) ~ (all_4_1 = all_4_19)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (152), (629), (638) imply:
% 175.71/26.10 | (682) ~ (all_4_4 = all_4_9)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (151), (629), (646) imply:
% 175.71/26.10 | (683) ~ (all_4_4 = all_4_16)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (150), (629), (631) imply:
% 175.71/26.10 | (684) ~ (all_4_4 = all_4_6)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (149), (629), (633) imply:
% 175.71/26.10 | (685) ~ (all_4_4 = all_4_8)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (148), (629), (634) imply:
% 175.71/26.10 | (686) ~ (all_4_4 = all_4_14)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (147), (629), (636) imply:
% 175.71/26.10 | (687) ~ (all_4_4 = all_4_21)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (146), (638), (646) imply:
% 175.71/26.10 | (688) ~ (all_4_9 = all_4_16)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (145), (638), (639) imply:
% 175.71/26.10 | (689) ~ (all_4_9 = all_4_11)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (144), (638), (640) imply:
% 175.71/26.10 | (690) ~ (all_4_9 = all_4_13)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (143), (638), (642) imply:
% 175.71/26.10 | (691) ~ (all_4_9 = all_4_15)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (142), (638), (644) imply:
% 175.71/26.10 | (692) ~ (all_4_9 = all_4_23)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (141), (646), (648) imply:
% 175.71/26.10 | (693) ~ (all_4_16 = all_4_18)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (140), (646), (649) imply:
% 175.71/26.10 | (694) ~ (all_4_16 = all_4_20)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (139), (646), (651) imply:
% 175.71/26.10 | (695) ~ (all_4_16 = all_4_22)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (138), (646), (653) imply:
% 175.71/26.10 | (696) ~ (all_4_16 = all_4_24)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (137), (616), (624) imply:
% 175.71/26.10 | (697) ~ (all_4_2 = all_4_3)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (136), (616), (631) imply:
% 175.71/26.10 | (698) ~ (all_4_2 = all_4_6)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (135), (616), (639) imply:
% 175.71/26.10 | (699) ~ (all_4_2 = all_4_11)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (134), (616), (648) imply:
% 175.71/26.10 | (700) ~ (all_4_2 = all_4_18)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (133), (616), (617) imply:
% 175.71/26.10 | (701) ~ (all_4_2 = all_4_5)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (132), (616), (619) imply:
% 175.71/26.10 | (702) ~ (all_4_2 = all_4_10)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (131), (616), (621) imply:
% 175.71/26.10 | (703) ~ (all_4_2 = all_4_17)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (130), (624), (631) imply:
% 175.71/26.10 | (704) ~ (all_4_3 = all_4_6)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (129), (624), (639) imply:
% 175.71/26.10 | (705) ~ (all_4_3 = all_4_11)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (128), (624), (648) imply:
% 175.71/26.10 | (706) ~ (all_4_3 = all_4_18)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (127), (624), (626) imply:
% 175.71/26.10 | (707) ~ (all_4_3 = all_4_7)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (126), (624), (627) imply:
% 175.71/26.10 | (708) ~ (all_4_3 = all_4_12)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (125), (624), (628) imply:
% 175.71/26.10 | (709) ~ (all_4_3 = all_4_19)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (124), (631), (639) imply:
% 175.71/26.10 | (710) ~ (all_4_6 = all_4_11)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (123), (631), (648) imply:
% 175.71/26.10 | (711) ~ (all_4_6 = all_4_18)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (122), (631), (633) imply:
% 175.71/26.10 | (712) ~ (all_4_6 = all_4_8)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (121), (631), (634) imply:
% 175.71/26.10 | (713) ~ (all_4_6 = all_4_14)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (120), (631), (636) imply:
% 175.71/26.10 | (714) ~ (all_4_6 = all_4_21)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (119), (639), (648) imply:
% 175.71/26.10 | (715) ~ (all_4_11 = all_4_18)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (118), (639), (640) imply:
% 175.71/26.10 | (716) ~ (all_4_11 = all_4_13)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (117), (639), (642) imply:
% 175.71/26.10 | (717) ~ (all_4_11 = all_4_15)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (116), (639), (644) imply:
% 175.71/26.10 | (718) ~ (all_4_11 = all_4_23)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (115), (648), (649) imply:
% 175.71/26.10 | (719) ~ (all_4_18 = all_4_20)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (114), (648), (651) imply:
% 175.71/26.10 | (720) ~ (all_4_18 = all_4_22)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (113), (648), (653) imply:
% 175.71/26.10 | (721) ~ (all_4_18 = all_4_24)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (112), (617), (626) imply:
% 175.71/26.10 | (722) ~ (all_4_5 = all_4_7)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (111), (617), (633) imply:
% 175.71/26.10 | (723) ~ (all_4_5 = all_4_8)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (110), (617), (640) imply:
% 175.71/26.10 | (724) ~ (all_4_5 = all_4_13)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (109), (617), (649) imply:
% 175.71/26.10 | (725) ~ (all_4_5 = all_4_20)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (108), (617), (619) imply:
% 175.71/26.10 | (726) ~ (all_4_5 = all_4_10)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (107), (617), (621) imply:
% 175.71/26.10 | (727) ~ (all_4_5 = all_4_17)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (106), (626), (633) imply:
% 175.71/26.10 | (728) ~ (all_4_7 = all_4_8)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (105), (626), (640) imply:
% 175.71/26.10 | (729) ~ (all_4_7 = all_4_13)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (104), (626), (649) imply:
% 175.71/26.10 | (730) ~ (all_4_7 = all_4_20)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (103), (626), (627) imply:
% 175.71/26.10 | (731) ~ (all_4_7 = all_4_12)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (102), (626), (628) imply:
% 175.71/26.10 | (732) ~ (all_4_7 = all_4_19)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (101), (633), (640) imply:
% 175.71/26.10 | (733) ~ (all_4_8 = all_4_13)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (100), (633), (649) imply:
% 175.71/26.10 | (734) ~ (all_4_8 = all_4_20)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (99), (633), (634) imply:
% 175.71/26.10 | (735) ~ (all_4_8 = all_4_14)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (98), (633), (636) imply:
% 175.71/26.10 | (736) ~ (all_4_8 = all_4_21)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (97), (640), (649) imply:
% 175.71/26.10 | (737) ~ (all_4_13 = all_4_20)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (96), (640), (642) imply:
% 175.71/26.10 | (738) ~ (all_4_13 = all_4_15)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (95), (640), (644) imply:
% 175.71/26.10 | (739) ~ (all_4_13 = all_4_23)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (94), (649), (651) imply:
% 175.71/26.10 | (740) ~ (all_4_20 = all_4_22)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (93), (649), (653) imply:
% 175.71/26.10 | (741) ~ (all_4_20 = all_4_24)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (92), (619), (627) imply:
% 175.71/26.10 | (742) ~ (all_4_10 = all_4_12)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (91), (619), (634) imply:
% 175.71/26.10 | (743) ~ (all_4_10 = all_4_14)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (90), (619), (642) imply:
% 175.71/26.10 | (744) ~ (all_4_10 = all_4_15)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (89), (619), (651) imply:
% 175.71/26.10 | (745) ~ (all_4_10 = all_4_22)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (88), (619), (621) imply:
% 175.71/26.10 | (746) ~ (all_4_10 = all_4_17)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (87), (627), (634) imply:
% 175.71/26.10 | (747) ~ (all_4_12 = all_4_14)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (86), (627), (642) imply:
% 175.71/26.10 | (748) ~ (all_4_12 = all_4_15)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (85), (627), (651) imply:
% 175.71/26.10 | (749) ~ (all_4_12 = all_4_22)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (84), (627), (628) imply:
% 175.71/26.10 | (750) ~ (all_4_12 = all_4_19)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (83), (634), (642) imply:
% 175.71/26.10 | (751) ~ (all_4_14 = all_4_15)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (82), (634), (651) imply:
% 175.71/26.10 | (752) ~ (all_4_14 = all_4_22)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (81), (634), (636) imply:
% 175.71/26.10 | (753) ~ (all_4_14 = all_4_21)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (80), (642), (651) imply:
% 175.71/26.10 | (754) ~ (all_4_15 = all_4_22)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (79), (642), (644) imply:
% 175.71/26.10 | (755) ~ (all_4_15 = all_4_23)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (78), (651), (653) imply:
% 175.71/26.10 | (756) ~ (all_4_22 = all_4_24)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (77), (621), (628) imply:
% 175.71/26.10 | (757) ~ (all_4_17 = all_4_19)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (76), (621), (636) imply:
% 175.71/26.10 | (758) ~ (all_4_17 = all_4_21)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (75), (621), (644) imply:
% 175.71/26.10 | (759) ~ (all_4_17 = all_4_23)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (74), (621), (653) imply:
% 175.71/26.10 | (760) ~ (all_4_17 = all_4_24)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (73), (628), (636) imply:
% 175.71/26.10 | (761) ~ (all_4_19 = all_4_21)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (72), (628), (644) imply:
% 175.71/26.10 | (762) ~ (all_4_19 = all_4_23)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (71), (628), (653) imply:
% 175.71/26.10 | (763) ~ (all_4_19 = all_4_24)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (70), (636), (644) imply:
% 175.71/26.10 | (764) ~ (all_4_21 = all_4_23)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (69), (636), (653) imply:
% 175.71/26.10 | (765) ~ (all_4_21 = all_4_24)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (68), (644), (653) imply:
% 175.71/26.10 | (766) ~ (all_4_23 = all_4_24)
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (319), (508) imply:
% 175.71/26.10 | (767) op(all_4_0, e4) = all_10_0
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (318), (512) imply:
% 175.71/26.10 | (768) op(all_4_1, e4) = all_10_5
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (317), (463) imply:
% 175.71/26.10 | (769) op(all_4_4, e4) = all_10_10
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (316), (534) imply:
% 175.71/26.10 | (770) op(all_4_9, e4) = all_10_15
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (315), (424) imply:
% 175.71/26.10 | (771) op(all_4_16, e4) = all_10_20
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (314), (500) imply:
% 175.71/26.10 | (772) op(all_4_2, e3) = all_10_1
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (313), (514) imply:
% 175.71/26.10 | (773) op(all_4_3, e3) = all_10_6
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (312), (523) imply:
% 175.71/26.10 | (774) op(all_4_6, e3) = all_10_11
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (311), (439) imply:
% 175.71/26.10 | (775) op(all_4_11, e3) = all_10_16
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (310), (420) imply:
% 175.71/26.10 | (776) op(all_4_18, e3) = all_10_21
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (309), (516) imply:
% 175.71/26.10 | (777) op(all_4_5, e2) = all_10_2
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (308), (518) imply:
% 175.71/26.10 | (778) op(all_4_7, e2) = all_10_7
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (307), (455) imply:
% 175.71/26.10 | (779) op(all_4_8, e2) = all_10_12
% 175.71/26.10 |
% 175.71/26.10 | REDUCE: (306), (435) imply:
% 175.71/26.10 | (780) op(all_4_13, e2) = all_10_17
% 175.71/26.10 |
% 175.71/26.11 | REDUCE: (305), (415) imply:
% 175.71/26.11 | (781) op(all_4_20, e2) = all_10_22
% 175.71/26.11 |
% 175.71/26.11 | REDUCE: (304), (528) imply:
% 175.71/26.11 | (782) op(all_4_10, e1) = all_10_3
% 175.71/26.11 |
% 175.71/26.11 | REDUCE: (303), (472) imply:
% 175.71/26.11 | (783) op(all_4_12, e1) = all_10_8
% 175.71/26.11 |
% 175.71/26.11 | REDUCE: (302), (532) imply:
% 175.71/26.11 | (784) op(all_4_14, e1) = all_10_13
% 175.71/26.11 |
% 175.71/26.11 | REDUCE: (301), (431) imply:
% 175.71/26.11 | (785) op(all_4_15, e1) = all_10_18
% 175.71/26.11 |
% 175.71/26.11 | REDUCE: (300), (560) imply:
% 175.71/26.11 | (786) op(all_4_22, e1) = all_10_23
% 175.71/26.11 |
% 175.71/26.11 | REDUCE: (299), (488) imply:
% 175.71/26.11 | (787) op(all_4_17, e0) = all_10_4
% 175.71/26.11 |
% 175.71/26.11 | REDUCE: (298), (547) imply:
% 175.71/26.11 | (788) op(all_4_19, e0) = all_10_9
% 175.71/26.11 |
% 175.71/26.11 | REDUCE: (297), (448) imply:
% 175.71/26.11 | (789) op(all_4_21, e0) = all_10_14
% 175.71/26.11 |
% 175.71/26.11 | REDUCE: (296), (654) imply:
% 175.71/26.11 | (790) op(all_4_23, e0) = all_10_19
% 175.71/26.11 |
% 175.71/26.11 | REDUCE: (295), (562) imply:
% 175.71/26.11 | (791) op(all_4_24, e0) = all_10_24
% 175.71/26.11 |
% 175.71/26.11 | REDUCE: (294), (508) imply:
% 175.71/26.11 | (792) op(e4, all_4_0) = all_10_25
% 175.71/26.11 |
% 175.71/26.11 | REDUCE: (293), (500) imply:
% 175.71/26.11 | (793) op(e4, all_4_2) = all_10_26
% 175.71/26.11 |
% 175.71/26.11 | REDUCE: (292), (516) imply:
% 175.71/26.11 | (794) op(e4, all_4_5) = all_10_27
% 175.71/26.11 |
% 175.71/26.11 | REDUCE: (291), (528) imply:
% 175.71/26.11 | (795) op(e4, all_4_10) = all_10_28
% 175.71/26.11 |
% 175.71/26.11 | REDUCE: (290), (488) imply:
% 175.71/26.11 | (796) op(e4, all_4_17) = all_10_29
% 175.71/26.11 |
% 175.71/26.11 | REDUCE: (284), (512) imply:
% 175.71/26.11 | (797) op(e3, all_4_1) = all_10_30
% 175.71/26.11 |
% 175.71/26.11 | REDUCE: (283), (514) imply:
% 175.71/26.11 | (798) op(e3, all_4_3) = all_10_31
% 175.71/26.11 |
% 175.71/26.11 | REDUCE: (282), (518) imply:
% 175.71/26.11 | (799) op(e3, all_4_7) = all_10_32
% 175.71/26.11 |
% 175.71/26.11 | REDUCE: (281), (472) imply:
% 175.71/26.11 | (800) op(e3, all_4_12) = all_10_33
% 175.71/26.11 |
% 175.71/26.11 | REDUCE: (280), (547) imply:
% 175.71/26.11 | (801) op(e3, all_4_19) = all_10_34
% 175.71/26.11 |
% 175.71/26.11 | REDUCE: (274), (463) imply:
% 175.71/26.11 | (802) op(e2, all_4_4) = all_10_35
% 175.71/26.11 |
% 175.71/26.11 | REDUCE: (273), (523) imply:
% 175.71/26.11 | (803) op(e2, all_4_6) = all_10_36
% 175.71/26.11 |
% 175.71/26.11 | REDUCE: (272), (455) imply:
% 175.71/26.11 | (804) op(e2, all_4_8) = all_10_37
% 175.71/26.11 |
% 175.71/26.11 | REDUCE: (271), (532) imply:
% 175.71/26.11 | (805) op(e2, all_4_14) = all_10_38
% 175.71/26.11 |
% 175.71/26.11 | REDUCE: (270), (448) imply:
% 175.71/26.11 | (806) op(e2, all_4_21) = all_10_39
% 175.71/26.11 |
% 175.71/26.11 | REDUCE: (264), (534) imply:
% 175.71/26.11 | (807) op(e1, all_4_9) = all_10_40
% 175.71/26.11 |
% 175.71/26.11 | REDUCE: (263), (439) imply:
% 175.71/26.11 | (808) op(e1, all_4_11) = all_10_41
% 175.71/26.11 |
% 175.71/26.11 | REDUCE: (262), (435) imply:
% 175.71/26.11 | (809) op(e1, all_4_13) = all_10_42
% 175.71/26.11 |
% 175.71/26.11 | REDUCE: (261), (431) imply:
% 175.71/26.11 | (810) op(e1, all_4_15) = all_10_43
% 175.71/26.11 |
% 175.71/26.11 | REDUCE: (260), (654) imply:
% 175.71/26.11 | (811) op(e1, all_4_23) = all_10_44
% 175.71/26.11 |
% 175.71/26.11 | REDUCE: (254), (424) imply:
% 175.71/26.11 | (812) op(e0, all_4_16) = all_10_45
% 175.71/26.11 |
% 175.71/26.11 | REDUCE: (253), (420) imply:
% 175.71/26.11 | (813) op(e0, all_4_18) = all_10_46
% 175.71/26.11 |
% 175.71/26.11 | REDUCE: (252), (415) imply:
% 175.71/26.11 | (814) op(e0, all_4_20) = all_10_47
% 175.71/26.11 |
% 175.71/26.11 | REDUCE: (251), (560) imply:
% 175.71/26.11 | (815) op(e0, all_4_22) = all_10_48
% 175.71/26.11 |
% 175.71/26.11 | REDUCE: (250), (562) imply:
% 175.71/26.11 | (816) op(e0, all_4_24) = all_10_49
% 175.71/26.11 |
% 175.71/26.11 | BETA: splitting (358) gives:
% 175.71/26.11 |
% 175.71/26.11 | Case 1:
% 175.71/26.11 | |
% 175.71/26.11 | | (817) all_12_24 = e0
% 175.71/26.11 | |
% 175.71/26.11 | | COMBINE_EQS: (410), (817) imply:
% 175.71/26.11 | | (818) all_4_24 = e0
% 175.71/26.11 | |
% 175.71/26.11 | | SIMP: (818) implies:
% 175.71/26.11 | | (819) all_4_24 = e0
% 175.71/26.11 | |
% 175.71/26.11 | | REDUCE: (696), (819) imply:
% 175.71/26.11 | | (820) ~ (all_4_16 = e0)
% 175.71/26.11 | |
% 175.71/26.11 | | REDUCE: (760), (819) imply:
% 175.71/26.11 | | (821) ~ (all_4_17 = e0)
% 175.71/26.11 | |
% 175.71/26.11 | | REDUCE: (721), (819) imply:
% 175.71/26.11 | | (822) ~ (all_4_18 = e0)
% 175.71/26.11 | |
% 175.71/26.11 | | REDUCE: (763), (819) imply:
% 175.71/26.11 | | (823) ~ (all_4_19 = e0)
% 175.71/26.11 | |
% 175.71/26.11 | | REDUCE: (741), (819) imply:
% 175.71/26.11 | | (824) ~ (all_4_20 = e0)
% 175.71/26.11 | |
% 175.71/26.11 | | REDUCE: (765), (819) imply:
% 175.71/26.11 | | (825) ~ (all_4_21 = e0)
% 175.71/26.11 | |
% 175.71/26.11 | | REDUCE: (756), (819) imply:
% 175.71/26.11 | | (826) ~ (all_4_22 = e0)
% 175.71/26.11 | |
% 175.71/26.11 | | REDUCE: (766), (819) imply:
% 175.71/26.11 | | (827) ~ (all_4_23 = e0)
% 175.71/26.11 | |
% 175.71/26.11 | | REDUCE: (791), (819) imply:
% 175.71/26.11 | | (828) op(e0, e0) = all_10_24
% 175.71/26.11 | |
% 175.71/26.11 | | REDUCE: (816), (819) imply:
% 175.71/26.11 | | (829) op(e0, e0) = all_10_49
% 175.71/26.11 | |
% 175.71/26.11 | | REDUCE: (17), (819) imply:
% 175.71/26.11 | | (830) op(e0, e0) = e0
% 175.71/26.11 | |
% 175.71/26.11 | | GROUND_INST: instantiating (function-axioms) with all_10_49, all_10_24, e0,
% 175.71/26.11 | | e0, simplifying with (828), (829) gives:
% 175.71/26.11 | | (831) all_10_24 = all_10_49
% 175.71/26.11 | |
% 175.71/26.11 | | GROUND_INST: instantiating (function-axioms) with e0, all_10_24, e0, e0,
% 175.71/26.11 | | simplifying with (828), (830) gives:
% 175.71/26.11 | | (832) all_10_24 = e0
% 175.71/26.11 | |
% 175.71/26.11 | | COMBINE_EQS: (831), (832) imply:
% 175.71/26.11 | | (833) all_10_49 = e0
% 175.71/26.11 | |
% 175.71/26.11 | | SIMP: (833) implies:
% 175.71/26.11 | | (834) all_10_49 = e0
% 175.71/26.11 | |
% 175.71/26.11 | | BETA: splitting (220) gives:
% 175.71/26.11 | |
% 175.71/26.11 | | Case 1:
% 175.71/26.11 | | |
% 175.71/26.11 | | | (835) all_8_23 = e4
% 175.71/26.11 | | |
% 175.71/26.11 | | | COMBINE_EQS: (602), (835) imply:
% 175.71/26.11 | | | (836) all_4_22 = e4
% 175.71/26.11 | | |
% 175.71/26.11 | | | SIMP: (836) implies:
% 175.71/26.11 | | | (837) all_4_22 = e4
% 175.71/26.11 | | |
% 175.71/26.11 | | | COMBINE_EQS: (560), (837) imply:
% 175.71/26.11 | | | (838) all_10_69 = e4
% 175.71/26.11 | | |
% 175.71/26.11 | | | COMBINE_EQS: (414), (837) imply:
% 175.71/26.11 | | | (839) all_12_23 = e4
% 175.71/26.11 | | |
% 175.71/26.11 | | | REDUCE: (745), (837) imply:
% 175.71/26.11 | | | (840) ~ (all_4_10 = e4)
% 175.71/26.11 | | |
% 175.71/26.11 | | | REDUCE: (749), (837) imply:
% 175.71/26.11 | | | (841) ~ (all_4_12 = e4)
% 175.71/26.11 | | |
% 175.71/26.11 | | | REDUCE: (752), (837) imply:
% 175.71/26.11 | | | (842) ~ (all_4_14 = e4)
% 175.71/26.11 | | |
% 175.71/26.11 | | | REDUCE: (754), (837) imply:
% 175.71/26.11 | | | (843) ~ (all_4_15 = e4)
% 175.71/26.11 | | |
% 175.71/26.11 | | | REDUCE: (695), (837) imply:
% 175.71/26.11 | | | (844) ~ (all_4_16 = e4)
% 175.71/26.11 | | |
% 175.71/26.11 | | | REDUCE: (720), (837) imply:
% 175.71/26.11 | | | (845) ~ (all_4_18 = e4)
% 175.71/26.11 | | |
% 175.71/26.11 | | | REDUCE: (740), (837) imply:
% 175.71/26.11 | | | (846) ~ (all_4_20 = e4)
% 175.71/26.11 | | |
% 175.71/26.11 | | | REDUCE: (44), (837) imply:
% 175.71/26.11 | | | (847) op(e4, all_4_23) = e1
% 175.71/26.11 | | |
% 175.71/26.11 | | | REDUCE: (786), (837) imply:
% 175.71/26.11 | | | (848) op(e4, e1) = all_10_23
% 175.71/26.11 | | |
% 175.71/26.11 | | | REDUCE: (43), (837) imply:
% 175.71/26.11 | | | (849) op(all_4_23, e4) = e0
% 175.71/26.11 | | |
% 175.71/26.11 | | | REDUCE: (815), (837) imply:
% 175.71/26.11 | | | (850) op(e0, e4) = all_10_48
% 175.71/26.11 | | |
% 175.71/26.11 | | | REDUCE: (18), (837) imply:
% 175.71/26.11 | | | (851) op(e0, e1) = e4
% 175.71/26.11 | | |
% 175.71/26.11 | | | GROUND_INST: instantiating (function-axioms) with all_4_16, all_10_48, e4,
% 175.71/26.11 | | | e0, simplifying with (21), (850) gives:
% 175.71/26.11 | | | (852) all_10_48 = all_4_16
% 175.71/26.11 | | |
% 175.71/26.11 | | | GROUND_INST: instantiating (function-axioms) with all_4_10, all_10_23, e1,
% 175.71/26.11 | | | e4, simplifying with (38), (848) gives:
% 175.71/26.11 | | | (853) all_10_23 = all_4_10
% 175.71/26.11 | | |
% 175.71/26.11 | | | BETA: splitting (222) gives:
% 175.71/26.11 | | |
% 175.71/26.11 | | | Case 1:
% 175.71/26.11 | | | |
% 175.71/26.11 | | | | (854) all_8_21 = e4
% 175.71/26.11 | | | |
% 175.71/26.11 | | | | COMBINE_EQS: (582), (854) imply:
% 175.71/26.11 | | | | (855) all_4_18 = e4
% 175.71/26.11 | | | |
% 175.71/26.11 | | | | SIMP: (855) implies:
% 175.71/26.11 | | | | (856) all_4_18 = e4
% 175.71/26.11 | | | |
% 175.71/26.11 | | | | REDUCE: (845), (856) imply:
% 175.71/26.11 | | | | (857) $false
% 175.71/26.11 | | | |
% 175.71/26.11 | | | | CLOSE: (857) is inconsistent.
% 175.71/26.11 | | | |
% 175.71/26.12 | | | Case 2:
% 175.71/26.12 | | | |
% 175.71/26.12 | | | | (858) ~ (all_8_21 = e4)
% 175.71/26.12 | | | | (859) all_8_21 = e3 | all_8_21 = e2 | all_8_21 = e1 | all_8_21 = e0
% 175.71/26.12 | | | |
% 175.71/26.12 | | | | BETA: splitting (221) gives:
% 175.71/26.12 | | | |
% 175.71/26.12 | | | | Case 1:
% 175.71/26.12 | | | | |
% 175.71/26.12 | | | | | (860) all_8_22 = e4
% 175.71/26.12 | | | | |
% 175.71/26.12 | | | | | COMBINE_EQS: (592), (860) imply:
% 175.71/26.12 | | | | | (861) all_4_20 = e4
% 175.71/26.12 | | | | |
% 175.71/26.12 | | | | | REDUCE: (846), (861) imply:
% 175.71/26.12 | | | | | (862) $false
% 175.71/26.12 | | | | |
% 175.71/26.12 | | | | | CLOSE: (862) is inconsistent.
% 175.71/26.12 | | | | |
% 175.71/26.12 | | | | Case 2:
% 175.71/26.12 | | | | |
% 175.71/26.12 | | | | | (863) ~ (all_8_22 = e4)
% 175.71/26.12 | | | | | (864) all_8_22 = e3 | all_8_22 = e2 | all_8_22 = e1 | all_8_22 = e0
% 175.71/26.12 | | | | |
% 175.71/26.12 | | | | | BETA: splitting (223) gives:
% 175.71/26.12 | | | | |
% 175.71/26.12 | | | | | Case 1:
% 175.71/26.12 | | | | | |
% 175.71/26.12 | | | | | | (865) all_8_20 = e4
% 175.71/26.12 | | | | | |
% 175.71/26.12 | | | | | | COMBINE_EQS: (572), (865) imply:
% 175.71/26.12 | | | | | | (866) all_4_16 = e4
% 175.71/26.12 | | | | | |
% 175.71/26.12 | | | | | | REDUCE: (844), (866) imply:
% 175.71/26.12 | | | | | | (867) $false
% 175.71/26.12 | | | | | |
% 175.71/26.12 | | | | | | CLOSE: (867) is inconsistent.
% 175.71/26.12 | | | | | |
% 175.71/26.12 | | | | | Case 2:
% 175.71/26.12 | | | | | |
% 175.71/26.12 | | | | | | (868) ~ (all_8_20 = e4)
% 175.71/26.12 | | | | | | (869) all_8_20 = e3 | all_8_20 = e2 | all_8_20 = e1 | all_8_20 =
% 175.71/26.12 | | | | | | e0
% 175.71/26.12 | | | | | |
% 175.71/26.12 | | | | | | BETA: splitting (321) gives:
% 175.71/26.12 | | | | | |
% 175.71/26.12 | | | | | | Case 1:
% 175.71/26.12 | | | | | | |
% 175.71/26.12 | | | | | | | (870) all_10_65 = e4
% 175.71/26.12 | | | | | | |
% 175.71/26.12 | | | | | | | REF_CLOSE: (528), (840), (870) are inconsistent by sub-proof #790.
% 175.71/26.12 | | | | | | |
% 175.71/26.12 | | | | | | Case 2:
% 175.71/26.12 | | | | | | |
% 175.71/26.12 | | | | | | | (871) ~ (all_10_65 = e4)
% 175.71/26.12 | | | | | | | (872) all_10_66 = e3 | all_10_67 = e2 | all_10_68 = e1 |
% 175.71/26.12 | | | | | | | all_10_69 = e0
% 175.71/26.12 | | | | | | |
% 175.71/26.12 | | | | | | | BETA: splitting (240) gives:
% 175.71/26.12 | | | | | | |
% 175.71/26.12 | | | | | | | Case 1:
% 175.71/26.12 | | | | | | | |
% 175.71/26.12 | | | | | | | | (873) all_8_3 = e4
% 175.71/26.12 | | | | | | | |
% 175.71/26.12 | | | | | | | | REF_CLOSE: (594), (840), (873) are inconsistent by sub-proof
% 175.71/26.12 | | | | | | | | #789.
% 175.71/26.12 | | | | | | | |
% 175.71/26.12 | | | | | | | Case 2:
% 175.71/26.12 | | | | | | | |
% 175.71/26.12 | | | | | | | | (874) ~ (all_8_3 = e4)
% 175.71/26.12 | | | | | | | | (875) all_8_3 = e3 | all_8_3 = e2 | all_8_3 = e1 | all_8_3 =
% 175.71/26.12 | | | | | | | | e0
% 175.71/26.12 | | | | | | | |
% 175.71/26.12 | | | | | | | | BETA: splitting (234) gives:
% 175.71/26.12 | | | | | | | |
% 175.71/26.12 | | | | | | | | Case 1:
% 175.71/26.12 | | | | | | | | |
% 175.71/26.12 | | | | | | | | | (876) all_8_9 = e4
% 175.71/26.12 | | | | | | | | |
% 175.71/26.12 | | | | | | | | | COMBINE_EQS: (606), (876) imply:
% 175.71/26.12 | | | | | | | | | (877) all_4_19 = e4
% 175.71/26.12 | | | | | | | | |
% 175.71/26.12 | | | | | | | | | SIMP: (877) implies:
% 175.71/26.12 | | | | | | | | | (878) all_4_19 = e4
% 175.71/26.12 | | | | | | | | |
% 175.71/26.12 | | | | | | | | | COMBINE_EQS: (547), (878) imply:
% 175.71/26.12 | | | | | | | | | (879) all_10_71 = e4
% 175.71/26.12 | | | | | | | | |
% 175.71/26.12 | | | | | | | | | COMBINE_EQS: (470), (878) imply:
% 175.71/26.12 | | | | | | | | | (880) all_12_17 = e4
% 175.71/26.12 | | | | | | | | |
% 175.71/26.12 | | | | | | | | | REDUCE: (681), (878) imply:
% 175.71/26.12 | | | | | | | | | (881) ~ (all_4_1 = e4)
% 175.71/26.12 | | | | | | | | |
% 175.71/26.12 | | | | | | | | | REDUCE: (709), (878) imply:
% 175.71/26.12 | | | | | | | | | (882) ~ (all_4_3 = e4)
% 175.71/26.12 | | | | | | | | |
% 175.71/26.12 | | | | | | | | | REDUCE: (732), (878) imply:
% 175.71/26.12 | | | | | | | | | (883) ~ (all_4_7 = e4)
% 175.71/26.12 | | | | | | | | |
% 175.71/26.12 | | | | | | | | | REDUCE: (757), (878) imply:
% 175.71/26.12 | | | | | | | | | (884) ~ (all_4_17 = e4)
% 175.71/26.12 | | | | | | | | |
% 175.71/26.12 | | | | | | | | | REDUCE: (761), (878) imply:
% 175.71/26.12 | | | | | | | | | (885) ~ (all_4_21 = e4)
% 175.71/26.12 | | | | | | | | |
% 175.71/26.12 | | | | | | | | | SIMP: (885) implies:
% 175.71/26.12 | | | | | | | | | (886) ~ (all_4_21 = e4)
% 175.71/26.12 | | | | | | | | |
% 175.71/26.12 | | | | | | | | | REDUCE: (762), (878) imply:
% 175.71/26.12 | | | | | | | | | (887) ~ (all_4_23 = e4)
% 175.71/26.12 | | | | | | | | |
% 175.71/26.12 | | | | | | | | | SIMP: (887) implies:
% 175.71/26.12 | | | | | | | | | (888) ~ (all_4_23 = e4)
% 175.71/26.12 | | | | | | | | |
% 175.71/26.12 | | | | | | | | | REDUCE: (788), (878) imply:
% 175.71/26.12 | | | | | | | | | (889) op(e4, e0) = all_10_9
% 175.71/26.12 | | | | | | | | |
% 175.71/26.12 | | | | | | | | | REDUCE: (801), (878) imply:
% 175.71/26.12 | | | | | | | | | (890) op(e3, e4) = all_10_34
% 175.71/26.12 | | | | | | | | |
% 175.71/26.12 | | | | | | | | | REDUCE: (32), (878) imply:
% 175.71/26.12 | | | | | | | | | (891) op(e3, e0) = e4
% 175.71/26.12 | | | | | | | | |
% 175.71/26.12 | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_1,
% 175.71/26.12 | | | | | | | | | all_10_34, e4, e3, simplifying with (36), (890)
% 175.71/26.12 | | | | | | | | | gives:
% 175.71/26.12 | | | | | | | | | (892) all_10_34 = all_4_1
% 175.71/26.12 | | | | | | | | |
% 175.71/26.12 | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_17,
% 175.71/26.12 | | | | | | | | | all_10_9, e0, e4, simplifying with (37), (889)
% 175.71/26.12 | | | | | | | | | gives:
% 175.71/26.12 | | | | | | | | | (893) all_10_9 = all_4_17
% 175.71/26.12 | | | | | | | | |
% 175.71/26.12 | | | | | | | | | BETA: splitting (224) gives:
% 175.71/26.12 | | | | | | | | |
% 175.71/26.12 | | | | | | | | | Case 1:
% 175.71/26.12 | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | (894) all_8_19 = e4
% 175.71/26.12 | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | REF_CLOSE: (551), (888), (894) are inconsistent by sub-proof
% 175.71/26.12 | | | | | | | | | | #788.
% 175.71/26.12 | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | Case 2:
% 175.71/26.12 | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | (895) all_8_19 = e3 | all_8_19 = e2 | all_8_19 = e1 |
% 175.71/26.12 | | | | | | | | | | all_8_19 = e0
% 175.71/26.12 | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | BETA: splitting (239) gives:
% 175.71/26.12 | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | Case 1:
% 175.71/26.12 | | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | | (896) all_8_4 = e4
% 175.71/26.12 | | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | | REF_CLOSE: (603), (884), (896) are inconsistent by sub-proof
% 175.71/26.12 | | | | | | | | | | | #787.
% 175.71/26.12 | | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | Case 2:
% 175.71/26.12 | | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | | (897) all_8_4 = e3 | all_8_4 = e2 | all_8_4 = e1 |
% 175.71/26.12 | | | | | | | | | | | all_8_4 = e0
% 175.71/26.12 | | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | | BETA: splitting (229) gives:
% 175.71/26.12 | | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | | Case 1:
% 175.71/26.12 | | | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | | | (898) all_8_14 = e4
% 175.71/26.12 | | | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | | | REF_CLOSE: (607), (886), (898) are inconsistent by sub-proof
% 175.71/26.12 | | | | | | | | | | | | #786.
% 175.71/26.12 | | | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | | Case 2:
% 175.71/26.12 | | | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | | | (899) ~ (all_8_14 = e4)
% 175.71/26.12 | | | | | | | | | | | | (900) all_8_14 = e3 | all_8_14 = e2 | all_8_14 = e1 |
% 175.71/26.12 | | | | | | | | | | | | all_8_14 = e0
% 175.71/26.12 | | | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | | | BETA: splitting (327) gives:
% 175.71/26.12 | | | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | | | Case 1:
% 175.71/26.12 | | | | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | | | | (901) all_10_51 = e4
% 175.71/26.12 | | | | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | | | | COMBINE_EQS: (512), (901) imply:
% 175.71/26.12 | | | | | | | | | | | | | (902) all_4_1 = e4
% 175.71/26.12 | | | | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | | | | REDUCE: (881), (902) imply:
% 175.71/26.12 | | | | | | | | | | | | | (903) $false
% 175.71/26.12 | | | | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | | | | CLOSE: (903) is inconsistent.
% 175.71/26.12 | | | | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | | | Case 2:
% 175.71/26.12 | | | | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | | | | (904) ~ (all_10_51 = e4)
% 175.71/26.12 | | | | | | | | | | | | | (905) all_10_56 = e3 | all_10_61 = e2 | all_10_66 = e1 |
% 175.71/26.12 | | | | | | | | | | | | | all_10_71 = e0
% 175.71/26.12 | | | | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | | | | BETA: splitting (230) gives:
% 175.71/26.12 | | | | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | | | | Case 1:
% 175.71/26.12 | | | | | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | | | | | (906) all_8_13 = e4
% 175.71/26.12 | | | | | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | | | | | REF_CLOSE: (598), (842), (906) are inconsistent by sub-proof
% 175.71/26.12 | | | | | | | | | | | | | | #785.
% 175.71/26.12 | | | | | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | | | | Case 2:
% 175.71/26.12 | | | | | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | | | | | (907) ~ (all_8_13 = e4)
% 175.71/26.12 | | | | | | | | | | | | | | (908) all_8_13 = e3 | all_8_13 = e2 | all_8_13 = e1 |
% 175.71/26.12 | | | | | | | | | | | | | | all_8_13 = e0
% 175.71/26.12 | | | | | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 175.71/26.12 | | | | | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | | | | | Case 1:
% 175.71/26.12 | | | | | | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | | | | | | (909) all_8_5 = e4
% 175.71/26.12 | | | | | | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | | | | | | REF_CLOSE: (566), (881), (909) are inconsistent by sub-proof
% 175.71/26.12 | | | | | | | | | | | | | | | #784.
% 175.71/26.12 | | | | | | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | | | | | Case 2:
% 175.71/26.12 | | | | | | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | | | | | | (910) ~ (all_8_5 = e4)
% 175.71/26.12 | | | | | | | | | | | | | | | (911) all_8_5 = e3 | all_8_5 = e2 | all_8_5 = e1 |
% 175.71/26.12 | | | | | | | | | | | | | | | all_8_5 = e0
% 175.71/26.12 | | | | | | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 175.71/26.12 | | | | | | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | | | | | | Case 1:
% 175.71/26.12 | | | | | | | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | | | | | | | (912) all_8_7 = e4
% 175.71/26.12 | | | | | | | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | | | | | | | REF_CLOSE: (586), (883), (912) are inconsistent by sub-proof
% 175.71/26.12 | | | | | | | | | | | | | | | | #783.
% 175.71/26.12 | | | | | | | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | | | | | | Case 2:
% 175.71/26.12 | | | | | | | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | | | | | | | (913) ~ (all_8_7 = e4)
% 175.71/26.12 | | | | | | | | | | | | | | | | (914) all_8_7 = e3 | all_8_7 = e2 | all_8_7 = e1 |
% 175.71/26.12 | | | | | | | | | | | | | | | | all_8_7 = e0
% 175.71/26.12 | | | | | | | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | | | | | | | BETA: splitting (359) gives:
% 175.71/26.12 | | | | | | | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | | | | | | | Case 1:
% 175.71/26.12 | | | | | | | | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | | | | | | | | (915) all_12_20 = e1
% 175.71/26.12 | | | | | | | | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (915) imply:
% 175.71/26.12 | | | | | | | | | | | | | | | | | (916) all_4_16 = e1
% 175.71/26.12 | | | | | | | | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | | | | | | | | SIMP: (916) implies:
% 175.71/26.12 | | | | | | | | | | | | | | | | | (917) all_4_16 = e1
% 175.71/26.12 | | | | | | | | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | | | | | | | | COMBINE_EQS: (852), (917) imply:
% 175.71/26.12 | | | | | | | | | | | | | | | | | (918) all_10_48 = e1
% 175.71/26.12 | | | | | | | | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | | | | | | | | REDUCE: (670), (917) imply:
% 175.71/26.12 | | | | | | | | | | | | | | | | | (919) ~ (all_4_0 = e1)
% 175.71/26.12 | | | | | | | | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | | | | | | | | REDUCE: (677), (917) imply:
% 175.71/26.12 | | | | | | | | | | | | | | | | | (920) ~ (all_4_1 = e1)
% 175.71/26.12 | | | | | | | | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | | | | | | | | REDUCE: (683), (917) imply:
% 175.71/26.12 | | | | | | | | | | | | | | | | | (921) ~ (all_4_4 = e1)
% 175.71/26.12 | | | | | | | | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | | | | | | | | REDUCE: (693), (917) imply:
% 175.71/26.12 | | | | | | | | | | | | | | | | | (922) ~ (all_4_18 = e1)
% 175.71/26.12 | | | | | | | | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | | | | | | | | SIMP: (922) implies:
% 175.71/26.12 | | | | | | | | | | | | | | | | | (923) ~ (all_4_18 = e1)
% 175.71/26.12 | | | | | | | | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | | | | | | | | REDUCE: (694), (917) imply:
% 175.71/26.12 | | | | | | | | | | | | | | | | | (924) ~ (all_4_20 = e1)
% 175.71/26.12 | | | | | | | | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | | | | | | | | SIMP: (924) implies:
% 175.71/26.12 | | | | | | | | | | | | | | | | | (925) ~ (all_4_20 = e1)
% 175.71/26.12 | | | | | | | | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | | | | | | | | REDUCE: (844), (917) imply:
% 175.71/26.12 | | | | | | | | | | | | | | | | | (926) ~ (e4 = e1)
% 175.71/26.12 | | | | | | | | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | | | | | | | | REDUCE: (50), (917) imply:
% 175.71/26.12 | | | | | | | | | | | | | | | | | (927) op(e1, all_4_17) = e4
% 175.71/26.12 | | | | | | | | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | | | | | | | | REDUCE: (49), (917) imply:
% 175.71/26.12 | | | | | | | | | | | | | | | | | (928) op(all_4_17, e1) = e0
% 175.71/26.12 | | | | | | | | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | | | | | | | | REDUCE: (812), (917) imply:
% 175.71/26.12 | | | | | | | | | | | | | | | | | (929) op(e0, e1) = all_10_45
% 175.71/26.12 | | | | | | | | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4,
% 175.71/26.12 | | | | | | | | | | | | | | | | | all_10_45, e1, e0, simplifying with (851), (929)
% 175.71/26.12 | | | | | | | | | | | | | | | | | gives:
% 175.71/26.12 | | | | | | | | | | | | | | | | | (930) all_10_45 = e4
% 175.71/26.12 | | | | | | | | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | | | | | | | | BETA: splitting (329) gives:
% 175.71/26.12 | | | | | | | | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | | | | | | | | Case 1:
% 175.71/26.12 | | | | | | | | | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | | | | | | | | | (931) all_10_50 = e4
% 175.71/26.12 | | | | | | | | | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (508), (931) imply:
% 175.71/26.12 | | | | | | | | | | | | | | | | | | (932) all_4_0 = e4
% 175.71/26.12 | | | | | | | | | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (932) imply:
% 175.71/26.12 | | | | | | | | | | | | | | | | | | (933) all_12_0 = e4
% 175.71/26.12 | | | | | | | | | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | | | | | | | | | REDUCE: (671), (932) imply:
% 175.71/26.12 | | | | | | | | | | | | | | | | | | (934) ~ (all_4_2 = e4)
% 175.71/26.12 | | | | | | | | | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | | | | | | | | | SIMP: (934) implies:
% 175.71/26.12 | | | | | | | | | | | | | | | | | | (935) ~ (all_4_2 = e4)
% 175.71/26.12 | | | | | | | | | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | | | | | | | | | REDUCE: (668), (932) imply:
% 175.71/26.12 | | | | | | | | | | | | | | | | | | (936) ~ (all_4_4 = e4)
% 175.71/26.12 | | | | | | | | | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | | | | | | | | | SIMP: (936) implies:
% 175.71/26.12 | | | | | | | | | | | | | | | | | | (937) ~ (all_4_4 = e4)
% 175.71/26.12 | | | | | | | | | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | | | | | | | | | REDUCE: (672), (932) imply:
% 175.71/26.12 | | | | | | | | | | | | | | | | | | (938) ~ (all_4_5 = e4)
% 175.71/26.12 | | | | | | | | | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | | | | | | | | | SIMP: (938) implies:
% 175.71/26.12 | | | | | | | | | | | | | | | | | | (939) ~ (all_4_5 = e4)
% 175.71/26.12 | | | | | | | | | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | | | | | | | | | REDUCE: (669), (932) imply:
% 175.71/26.12 | | | | | | | | | | | | | | | | | | (940) ~ (all_4_9 = e4)
% 175.71/26.12 | | | | | | | | | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | | | | | | | | | SIMP: (940) implies:
% 175.71/26.12 | | | | | | | | | | | | | | | | | | (941) ~ (all_4_9 = e4)
% 175.71/26.12 | | | | | | | | | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | | | | | | | | | REDUCE: (767), (932) imply:
% 175.71/26.12 | | | | | | | | | | | | | | | | | | (942) op(e4, e4) = all_10_0
% 175.71/26.12 | | | | | | | | | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | | | | | | | | | REDUCE: (792), (932) imply:
% 175.71/26.12 | | | | | | | | | | | | | | | | | | (943) op(e4, e4) = all_10_25
% 175.71/26.12 | | | | | | | | | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | | | | | | | | | REDUCE: (41), (932) imply:
% 175.71/26.12 | | | | | | | | | | | | | | | | | | (944) op(e4, e4) = e4
% 175.71/26.12 | | | | | | | | | | | | | | | | | |
% 175.71/26.12 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_25,
% 175.71/26.12 | | | | | | | | | | | | | | | | | | all_10_0, e4, e4, simplifying with (942), (943)
% 175.71/26.12 | | | | | | | | | | | | | | | | | | gives:
% 175.71/26.13 | | | | | | | | | | | | | | | | | | (945) all_10_0 = all_10_25
% 175.71/26.13 | | | | | | | | | | | | | | | | | |
% 175.71/26.13 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_10_0,
% 175.71/26.13 | | | | | | | | | | | | | | | | | | e4, e4, simplifying with (942), (944) gives:
% 175.71/26.13 | | | | | | | | | | | | | | | | | | (946) all_10_0 = e4
% 175.71/26.13 | | | | | | | | | | | | | | | | | |
% 175.71/26.13 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (945), (946) imply:
% 175.71/26.13 | | | | | | | | | | | | | | | | | | (947) all_10_25 = e4
% 175.71/26.13 | | | | | | | | | | | | | | | | | |
% 175.71/26.13 | | | | | | | | | | | | | | | | | | SIMP: (947) implies:
% 175.71/26.13 | | | | | | | | | | | | | | | | | | (948) all_10_25 = e4
% 175.71/26.13 | | | | | | | | | | | | | | | | | |
% 175.71/26.13 | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 175.71/26.13 | | | | | | | | | | | | | | | | | |
% 175.71/26.13 | | | | | | | | | | | | | | | | | | Case 1:
% 175.71/26.13 | | | | | | | | | | | | | | | | | | |
% 175.71/26.13 | | | | | | | | | | | | | | | | | | | (949) all_8_15 = e4
% 175.71/26.13 | | | | | | | | | | | | | | | | | | |
% 175.71/26.13 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (570), (941), (949) are inconsistent by sub-proof
% 175.71/26.13 | | | | | | | | | | | | | | | | | | | #782.
% 175.71/26.13 | | | | | | | | | | | | | | | | | | |
% 175.71/26.13 | | | | | | | | | | | | | | | | | | Case 2:
% 175.71/26.13 | | | | | | | | | | | | | | | | | | |
% 175.71/26.13 | | | | | | | | | | | | | | | | | | | (950) ~ (all_8_15 = e4)
% 175.71/26.13 | | | | | | | | | | | | | | | | | | | (951) all_8_15 = e3 | all_8_15 = e2 | all_8_15 = e1 |
% 175.71/26.13 | | | | | | | | | | | | | | | | | | | all_8_15 = e0
% 175.71/26.13 | | | | | | | | | | | | | | | | | | |
% 175.71/26.13 | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 175.71/26.13 | | | | | | | | | | | | | | | | | | |
% 175.71/26.13 | | | | | | | | | | | | | | | | | | | Case 1:
% 175.71/26.13 | | | | | | | | | | | | | | | | | | | |
% 175.71/26.13 | | | | | | | | | | | | | | | | | | | | (952) all_8_10 = e4
% 175.71/26.13 | | | | | | | | | | | | | | | | | | | |
% 175.71/26.13 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (568), (937), (952) are inconsistent by sub-proof
% 175.71/26.13 | | | | | | | | | | | | | | | | | | | | #781.
% 175.71/26.13 | | | | | | | | | | | | | | | | | | | |
% 175.71/26.13 | | | | | | | | | | | | | | | | | | | Case 2:
% 175.71/26.13 | | | | | | | | | | | | | | | | | | | |
% 175.71/26.13 | | | | | | | | | | | | | | | | | | | | (953) ~ (all_8_10 = e4)
% 175.71/26.13 | | | | | | | | | | | | | | | | | | | | (954) all_8_10 = e3 | all_8_10 = e2 | all_8_10 = e1 |
% 175.71/26.13 | | | | | | | | | | | | | | | | | | | | all_8_10 = e0
% 175.71/26.13 | | | | | | | | | | | | | | | | | | | |
% 175.71/26.13 | | | | | | | | | | | | | | | | | | | | BETA: splitting (381) gives:
% 175.71/26.13 | | | | | | | | | | | | | | | | | | | |
% 175.71/26.13 | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.71/26.13 | | | | | | | | | | | | | | | | | | | | |
% 175.71/26.13 | | | | | | | | | | | | | | | | | | | | | (955) all_12_6 = e4
% 175.71/26.13 | | | | | | | | | | | | | | | | | | | | |
% 175.71/26.13 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (665), (937), (955) are inconsistent by sub-proof
% 175.71/26.13 | | | | | | | | | | | | | | | | | | | | | #780.
% 175.71/26.13 | | | | | | | | | | | | | | | | | | | | |
% 175.71/26.13 | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.71/26.13 | | | | | | | | | | | | | | | | | | | | |
% 175.71/26.13 | | | | | | | | | | | | | | | | | | | | | (956) ~ (all_12_6 = e4)
% 175.71/26.13 | | | | | | | | | | | | | | | | | | | | | (957) all_12_7 = e4 | all_12_8 = e4 | all_12_11 = e4 |
% 175.71/26.13 | | | | | | | | | | | | | | | | | | | | | all_12_18 = e4
% 175.71/26.13 | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (325) gives:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | (958) all_10_53 = e4
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (534), (941), (958) are inconsistent by sub-proof
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | #779.
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | (959) all_10_58 = e3 | all_10_63 = e2 | all_10_68 = e1 |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | all_10_73 = e0
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (326) gives:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | (960) all_10_52 = e4
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (463), (937), (960) are inconsistent by sub-proof
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | #778.
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | (961) all_10_57 = e3 | all_10_62 = e2 | all_10_67 = e1 |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | all_10_72 = e0
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | (962) all_8_2 = e4
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (939), (962) are inconsistent by sub-proof
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | #777.
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | (963) all_8_2 = e3 | all_8_2 = e2 | all_8_2 = e1 |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | all_8_2 = e0
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | (964) all_8_1 = e4
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (574), (935), (964) are inconsistent by sub-proof
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | #776.
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | (965) all_8_1 = e3 | all_8_1 = e2 | all_8_1 = e1 |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | all_8_1 = e0
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (365) gives:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (966) all_12_16 = e3
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (966) imply:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (967) all_4_17 = e3
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (927), (967) imply:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (968) op(e1, e3) = e4
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_11, e4,
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (25), (968) gives:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (969) all_4_11 = e4
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (710), (969) imply:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (970) ~ (all_4_6 = e4)
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (58), (454), (462), (658), (664), (842),
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (886), (944), (957), (970), (function-axioms) are
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #770.
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (971) ~ (all_12_16 = e3)
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (659), (971) imply:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (972) ~ (all_4_17 = e3)
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (364) gives:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (973) all_12_16 = e2
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (973) imply:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (974) all_4_17 = e2
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (974) implies:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (975) all_4_17 = e2
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (746), (975) imply:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (976) ~ (all_4_10 = e2)
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (759), (975) imply:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (977) ~ (all_4_23 = e2)
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (977) implies:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (978) ~ (all_4_23 = e2)
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (928), (975) imply:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (979) op(e2, e1) = e0
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (796), (975) imply:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (980) op(e4, e2) = all_10_29
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (927), (975) imply:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (981) op(e1, e2) = e4
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_13, e4,
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (24), (981) gives:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (982) all_4_13 = e4
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_14, e0,
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (28), (979) gives:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (983) all_4_14 = e0
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_5,
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_29, e2, e4, simplifying with (39), (980)
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (984) all_10_29 = all_4_5
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (532), (983) imply:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (985) all_10_67 = e0
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (435), (982) imply:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (986) all_10_63 = e4
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (454), (983) imply:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (987) all_12_11 = e0
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (983) imply:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (988) ~ (all_4_4 = e0)
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (733), (982) imply:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (989) ~ (all_4_8 = e4)
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (983) imply:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (990) ~ (all_4_10 = e0)
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (738), (982) imply:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (991) ~ (all_4_15 = e4)
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (753), (983) imply:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (992) ~ (all_4_21 = e0)
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (53), (982), (983) imply:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (993) op(e4, e0) = e2
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (805), (983) imply:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (994) op(e2, e0) = all_10_38
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (809), (982) imply:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (995) op(e1, e4) = all_10_42
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (957) gives:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (996) all_12_7 = e4
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (462), (996) imply:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (997) all_4_6 = e4
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (523), (997) imply:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (998) all_10_57 = e4
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (712), (997) imply:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (999) ~ (all_4_8 = e4)
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (710), (997) imply:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1000) ~ (all_4_11 = e4)
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1000) implies:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1001) ~ (all_4_11 = e4)
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (711), (997) imply:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1002) ~ (all_4_18 = e4)
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (60), (997) imply:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1003) op(e4, all_4_7) = e3
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (774), (997) imply:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1004) op(e4, e3) = all_10_11
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (59), (997) imply:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1005) op(all_4_7, e4) = e2
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (803), (997) imply:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1006) op(e2, e4) = all_10_36
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (961) gives:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1007) all_10_57 = e3
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (998), (1007) imply:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1008) e4 = e3
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (1008) imply:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1009) $false
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1009) is inconsistent.
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1010) all_10_62 = e2 | all_10_67 = e1 | all_10_72 = e0
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1010) gives:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1011) all_10_62 = e2
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (455), (1011) imply:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1012) all_4_8 = e2
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1012) implies:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1013) all_4_8 = e2
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (664), (1013) imply:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1014) all_12_8 = e2
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (1013) imply:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1015) ~ (all_4_4 = e2)
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (723), (1013) imply:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1016) ~ (all_4_5 = e2)
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (728), (1013) imply:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1017) ~ (all_4_7 = e2)
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (734), (1013) imply:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1018) ~ (all_4_20 = e2)
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1018) implies:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1019) ~ (all_4_20 = e2)
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (779), (1013) imply:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1020) op(e2, e2) = all_10_12
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (804), (1013) imply:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1021) op(e2, e2) = all_10_37
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (29), (1013) imply:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1022) op(e2, e2) = e2
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (864) gives:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1023) all_8_22 = e3
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (592), (1023) imply:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1024) all_4_20 = e3
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1024) implies:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1025) all_4_20 = e3
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (719), (1025) imply:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1026) ~ (all_4_18 = e3)
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (781), (1025) imply:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1027) op(e3, e2) = all_10_22
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (814), (1025) imply:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1028) op(e0, e3) = all_10_47
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (378) gives:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1029) all_12_6 = e1
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (665), (921), (1029) are inconsistent by sub-proof
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #769.
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1030) ~ (all_12_6 = e1)
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1031) all_12_7 = e1 | all_12_8 = e1 | all_12_11 = e1 |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_18 = e1
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (859) gives:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1032) all_8_21 = e3
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (582), (1032) imply:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1033) all_4_18 = e3
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1026), (1033) imply:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1034) $false
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1034) is inconsistent.
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1035) all_8_21 = e2 | all_8_21 = e1 | all_8_21 = e0
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1035) gives:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1036) all_8_21 = e2
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (582), (1036) imply:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1037) all_4_18 = e2
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (700), (1037) imply:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1038) ~ (all_4_2 = e2)
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (1037) imply:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1039) ~ (all_4_11 = e2)
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (845), (1037) imply:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1040) ~ (e4 = e2)
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (776), (1037) imply:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1041) op(e2, e3) = all_10_21
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (813), (1037) imply:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1042) op(e0, e2) = all_10_46
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1031) gives:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1043) all_12_7 = e1
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (996), (1043) imply:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1044) e4 = e1
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (1044) imply:
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1045) $false
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1045) is inconsistent.
% 176.12/26.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1046) all_12_8 = e1 | all_12_11 = e1 | all_12_18 = e1
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1046) gives:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1047) all_12_8 = e1
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1014), (1047) imply:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1048) e2 = e1
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (1048) imply:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1049) $false
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1049) is inconsistent.
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1050) all_12_11 = e1 | all_12_18 = e1
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (954) gives:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1051) all_8_10 = e3
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (568), (1051) imply:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1052) all_4_4 = e3
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1052) implies:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1053) all_4_4 = e3
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (1053) imply:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1054) op(e3, all_4_5) = e4
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (61), (1053) imply:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1055) op(all_4_5, e3) = e2
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (802), (1053) imply:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1056) op(e2, e3) = all_10_35
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (31), (1053) imply:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1057) op(e2, e4) = e3
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1050) gives:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1058) all_12_11 = e1
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (987), (1058) imply:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1059) e1 = e0
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (1059) imply:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1060) $false
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1060) is inconsistent.
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1061) all_12_18 = e1
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (658), (1061) imply:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1062) all_4_21 = e1
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (764), (1062) imply:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1063) ~ (all_4_23 = e1)
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1063) implies:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1064) ~ (all_4_23 = e1)
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (789), (1062) imply:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1065) op(e1, e0) = all_10_14
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (806), (1062) imply:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1066) op(e2, e1) = all_10_39
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (895) gives:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1067) all_8_19 = e3
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (551), (1067) imply:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1068) all_4_23 = e3
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (654), (1068) imply:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1069) all_10_73 = e3
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (692), (1068) imply:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1070) ~ (all_4_9 = e3)
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (718), (1068) imply:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1071) ~ (all_4_11 = e3)
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (790), (1068) imply:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1072) op(e3, e0) = all_10_19
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (811), (1068) imply:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1073) op(e1, e3) = all_10_44
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (959) gives:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1074) all_10_58 = e3
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (1074) imply:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1075) all_4_11 = e3
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1071), (1075) imply:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1076) $false
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1076) is inconsistent.
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1077) ~ (all_10_58 = e3)
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1078) all_10_63 = e2 | all_10_68 = e1 | all_10_73 = e0
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1078) gives:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1079) all_10_63 = e2
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (986), (1079) are inconsistent by sub-proof
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #768.
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1080) all_10_68 = e1 | all_10_73 = e0
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1080) gives:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1081) all_10_68 = e1
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (1081) imply:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1082) all_4_15 = e1
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1082) implies:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1083) all_4_15 = e1
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (660), (1083) imply:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1084) all_12_15 = e1
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (691), (1083) imply:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1085) ~ (all_4_9 = e1)
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (1083) imply:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1086) ~ (all_4_10 = e1)
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (717), (1083) imply:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1087) ~ (all_4_11 = e1)
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (1083) imply:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1088) ~ (all_4_12 = e1)
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (785), (1083) imply:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1089) op(e1, e1) = all_10_18
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (810), (1083) imply:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1090) op(e1, e1) = all_10_43
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23), (1083) imply:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1091) op(e1, e1) = e1
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1092) all_8_16 = e4
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (580), (1001), (1092) are inconsistent by
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #767.
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1093) all_8_16 = e3 | all_8_16 = e2 | all_8_16 = e1 |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_16 = e0
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1093) gives:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1094) all_8_16 = e3
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (580), (1071), (1094) are inconsistent by
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #766.
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1095) all_8_16 = e2 | all_8_16 = e1 | all_8_16 = e0
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (905) gives:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1096) all_10_56 = e3
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (514), (1096) imply:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1097) all_4_3 = e3
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (678), (1097) imply:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1098) ~ (all_4_1 = e3)
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (707), (1097) imply:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1099) ~ (all_4_7 = e3)
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1099) implies:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1100) ~ (all_4_7 = e3)
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (773), (1097) imply:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1101) op(e3, e3) = all_10_6
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (798), (1097) imply:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1102) op(e3, e3) = all_10_31
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (35), (1097) imply:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1103) op(e3, e3) = e3
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (369) gives:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1104) all_12_12 = e2
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (1104) imply:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1105) all_4_9 = e2
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1105) implies:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1106) all_4_9 = e2
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (676), (1106) imply:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1107) ~ (all_4_1 = e2)
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (689), (1106) imply:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1108) ~ (all_4_11 = e2)
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (1106) imply:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1109) op(e2, all_4_10) = e4
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (770), (1106) imply:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1110) op(e2, e4) = all_10_15
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (56), (1106) imply:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1111) op(all_4_10, e2) = e1
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (807), (1106) imply:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1112) op(e1, e2) = all_10_40
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (374) gives:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1113) all_12_9 = e2
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (1113) imply:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1114) all_4_10 = e2
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (976), (1114) imply:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1115) $false
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1115) is inconsistent.
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1116) ~ (all_12_9 = e2)
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1117) all_12_10 = e2 | all_12_11 = e2 | all_12_15 = e2 |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_23 = e2
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (375) gives:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1118) all_12_9 = e3
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (1118) imply:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1119) all_4_10 = e3
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (702), (1119) imply:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1120) ~ (all_4_2 = e3)
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (726), (1119) imply:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1121) ~ (all_4_5 = e3)
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (782), (1119) imply:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1122) op(e3, e1) = all_10_3
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (795), (1119) imply:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1123) op(e4, e3) = all_10_28
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1109), (1119) imply:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1124) op(e2, e3) = e4
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (367) gives:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1125) all_12_12 = e0
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1104), (1125) are inconsistent by sub-proof
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #765.
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1126) all_12_13 = e0 | all_12_14 = e0 | all_12_15 = e0 |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_19 = e0
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (393) gives:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1127) all_12_1 = e1
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (1127) imply:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1128) all_4_2 = e1
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (701), (1128) imply:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1129) ~ (all_4_5 = e1)
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1129) implies:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1130) ~ (all_4_5 = e1)
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (699), (1128) imply:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1131) ~ (all_4_11 = e1)
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1038), (1128) imply:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1132) ~ (e2 = e1)
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (64), (1128) imply:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1133) op(e1, all_4_1) = e3
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (772), (1128) imply:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1134) op(e1, e3) = all_10_1
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (793), (1128) imply:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1135) op(e4, e1) = all_10_26
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (40), (1128) imply:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1136) op(e4, e3) = e1
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (911) gives:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1137) all_8_5 = e3
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (566), (1098), (1137) are inconsistent by
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #764.
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1138) all_8_5 = e2 | all_8_5 = e1 | all_8_5 = e0
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1138) gives:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1139) all_8_5 = e2
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (566), (1107), (1139) are inconsistent by
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #763.
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1140) all_8_5 = e1 | all_8_5 = e0
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1140) gives:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1141) all_8_5 = e1
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (566), (920), (1141) are inconsistent by sub-proof
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #762.
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1142) all_8_5 = e0
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (566), (1142) imply:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1143) all_4_1 = e0
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1143) implies:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1144) all_4_1 = e0
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (892), (1144) imply:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1145) all_10_34 = e0
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (797), (1144) imply:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1146) op(e3, e0) = all_10_30
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1133), (1144) imply:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1147) op(e1, e0) = e3
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (382) gives:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1148) all_12_4 = e0
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (1148) imply:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1149) all_4_5 = e0
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (984), (1149) imply:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1150) all_10_29 = e0
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (722), (1149) imply:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1151) ~ (all_4_7 = e0)
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1151) implies:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1152) ~ (all_4_7 = e0)
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1055), (1149) imply:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1153) op(e0, e3) = e2
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (777), (1149) imply:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1154) op(e0, e2) = all_10_2
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (794), (1149) imply:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1155) op(e4, e0) = all_10_27
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1126) gives:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1156) all_12_13 = e0
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (662), (1156) imply:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1157) all_4_11 = e0
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1157) implies:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1158) all_4_11 = e0
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1039), (1158) imply:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1159) ~ (e2 = e0)
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (55), (1158) imply:
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1160) op(e0, all_4_12) = e3
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (775), (1158) imply:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1161) op(e0, e3) = all_10_16
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (54), (1158) imply:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1162) op(all_4_12, e0) = e1
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (808), (1158) imply:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1163) op(e1, e0) = all_10_41
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (25), (1158) imply:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1164) op(e1, e3) = e0
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (914) gives:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1165) all_8_7 = e3
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (586), (1100), (1165) are inconsistent by
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #761.
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1166) all_8_7 = e2 | all_8_7 = e1 | all_8_7 = e0
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1117) gives:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1167) all_12_10 = e2
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (663), (1167) imply:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1168) all_4_12 = e2
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1168) implies:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1169) all_4_12 = e2
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (783), (1169) imply:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1170) op(e2, e1) = all_10_8
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1162), (1169) imply:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1171) op(e2, e0) = e1
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (800), (1169) imply:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1172) op(e3, e2) = all_10_33
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (33), (1169) imply:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1173) op(e3, e1) = e2
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1160), (1169) imply:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1174) op(e0, e2) = e3
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1166) gives:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1175) all_8_7 = e2
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (586), (1017), (1175) are inconsistent by
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #760.
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1176) all_8_7 = e1 | all_8_7 = e0
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1176) gives:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1177) all_8_7 = e1
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (586), (1177) imply:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1178) all_4_7 = e1
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1178) implies:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1179) all_4_7 = e1
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1005), (1179) imply:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1180) op(e1, e4) = e2
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (778), (1179) imply:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1181) op(e1, e2) = all_10_7
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1003), (1179) imply:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1182) op(e4, e1) = e3
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (799), (1179) imply:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1183) op(e3, e1) = all_10_32
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (34), (1179) imply:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1184) op(e3, e2) = e1
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_46,
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_2, e2, e0, simplifying with (1042), (1154)
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1185) all_10_2 = all_10_46
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_10_2,
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (1154), (1174) gives:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1186) all_10_2 = e3
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_47,
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_16, e3, e0, simplifying with (1028), (1161)
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1187) all_10_16 = all_10_47
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_16, e3, e0, simplifying with (1153), (1161)
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1188) all_10_16 = e2
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_41,
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_14, e0, e1, simplifying with (1065), (1163)
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1189) all_10_14 = all_10_41
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_14, e0, e1, simplifying with (1065), (1147)
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1190) all_10_14 = e3
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_43,
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_18, e1, e1, simplifying with (1089), (1090)
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1191) all_10_18 = all_10_43
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_18, e1, e1, simplifying with (1089), (1091)
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1192) all_10_18 = e1
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_10_7,
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (981), (1181) gives:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1193) all_10_7 = e4
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_40,
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_7, e2, e1, simplifying with (1112), (1181)
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1194) all_10_7 = all_10_40
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_44,
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_1, e3, e1, simplifying with (1073), (1134)
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1195) all_10_1 = all_10_44
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_10_1,
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (1134), (1164) gives:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1196) all_10_1 = e0
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_42, e4, e1, simplifying with (995), (1180)
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1197) all_10_42 = e2
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_38, e0, e2, simplifying with (994), (1171)
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1198) all_10_38 = e1
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_10_8,
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (979), (1170) gives:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1199) all_10_8 = e0
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_39,
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_8, e1, e2, simplifying with (1066), (1170)
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1200) all_10_8 = all_10_39
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_37,
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_12, e2, e2, simplifying with (1020), (1021)
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1201) all_10_12 = all_10_37
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_12, e2, e2, simplifying with (1020), (1022)
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1202) all_10_12 = e2
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_35,
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_21, e3, e2, simplifying with (1041), (1056)
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1203) all_10_21 = all_10_35
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4,
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_21, e3, e2, simplifying with (1041), (1124)
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1204) all_10_21 = e4
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_36,
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_15, e4, e2, simplifying with (1006), (1110)
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1205) all_10_15 = all_10_36
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_15, e4, e2, simplifying with (1057), (1110)
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1206) all_10_15 = e3
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4,
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_19, e0, e3, simplifying with (891), (1072)
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1207) all_10_19 = e4
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_30,
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_19, e0, e3, simplifying with (1072), (1146)
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1208) all_10_19 = all_10_30
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_32,
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_3, e1, e3, simplifying with (1122), (1183)
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1209) all_10_3 = all_10_32
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_10_3,
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (1122), (1173) gives:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1210) all_10_3 = e2
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_33,
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_22, e2, e3, simplifying with (1027), (1172)
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1211) all_10_22 = all_10_33
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_22, e2, e3, simplifying with (1027), (1184)
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1212) all_10_22 = e1
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_31,
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_6, e3, e3, simplifying with (1101), (1102)
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1213) all_10_6 = all_10_31
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_10_6,
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (1101), (1103) gives:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1214) all_10_6 = e3
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_27, e0, e4, simplifying with (993), (1155)
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1215) all_10_27 = e2
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_26, e1, e4, simplifying with (1135), (1182)
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1216) all_10_26 = e3
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_28,
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_11, e3, e4, simplifying with (1004), (1123)
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1217) all_10_11 = all_10_28
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_11, e3, e4, simplifying with (1004), (1136)
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1218) all_10_11 = e1
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1195), (1196) imply:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1219) all_10_44 = e0
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1219) implies:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1220) all_10_44 = e0
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1185), (1186) imply:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1221) all_10_46 = e3
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1221) implies:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1222) all_10_46 = e3
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1209), (1210) imply:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1223) all_10_32 = e2
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1223) implies:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1224) all_10_32 = e2
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1213), (1214) imply:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1225) all_10_31 = e3
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1225) implies:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1226) all_10_31 = e3
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1193), (1194) imply:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1227) all_10_40 = e4
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1199), (1200) imply:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1228) all_10_39 = e0
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1228) implies:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1229) all_10_39 = e0
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1217), (1218) imply:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1230) all_10_28 = e1
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1230) implies:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1231) all_10_28 = e1
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1201), (1202) imply:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1232) all_10_37 = e2
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1232) implies:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1233) all_10_37 = e2
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1189), (1190) imply:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1234) all_10_41 = e3
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1234) implies:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1235) all_10_41 = e3
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1205), (1206) imply:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1236) all_10_36 = e3
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1236) implies:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1237) all_10_36 = e3
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1187), (1188) imply:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1238) all_10_47 = e2
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1191), (1192) imply:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1239) all_10_43 = e1
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1239) implies:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1240) all_10_43 = e1
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1207), (1208) imply:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1241) all_10_30 = e4
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1241) implies:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1242) all_10_30 = e4
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1203), (1204) imply:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1243) all_10_35 = e4
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1211), (1212) imply:
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1244) all_10_33 = e1
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (330), (834), (918), (930), (948), (1145), (1150),
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1197), (1198), (1215), (1216), (1220), (1222),
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1224), (1226), (1227), (1229), (1231), (1233),
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1235), (1237), (1238), (1240), (1242), (1243),
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1244) are inconsistent by sub-proof #758.
% 176.12/26.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1245) all_8_7 = e0
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (586), (1152), (1245) are inconsistent by
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #757.
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1246) all_12_11 = e2 | all_12_15 = e2 | all_12_23 = e2
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1246) gives:
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1247) all_12_11 = e2
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (987), (1247) imply:
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1248) e2 = e0
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (1248) imply:
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1249) $false
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1249) is inconsistent.
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1250) all_12_15 = e2 | all_12_23 = e2
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1250) gives:
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1251) all_12_15 = e2
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1084), (1251) imply:
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1252) e2 = e1
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1252) implies:
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1253) e2 = e1
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (1253) imply:
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1254) $false
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1254) is inconsistent.
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1255) all_12_23 = e2
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (839), (1255) imply:
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1256) e4 = e2
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1256) implies:
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1257) e4 = e2
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13), (1257) imply:
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1258) $false
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1258) is inconsistent.
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1259) ~ (all_12_13 = e0)
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (662), (1259) imply:
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1260) ~ (all_4_11 = e0)
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1095) gives:
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1261) all_8_16 = e2
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (580), (1039), (1261) are inconsistent by
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #756.
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1262) all_8_16 = e1 | all_8_16 = e0
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1262) gives:
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1263) all_8_16 = e1
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (580), (1087), (1263) are inconsistent by
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #755.
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1264) all_8_16 = e0
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (580), (1260), (1264) are inconsistent by
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #754.
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1265) ~ (all_12_4 = e0)
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (498), (1265) imply:
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1266) ~ (all_4_5 = e0)
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (963), (1016), (1121), (1130), (1266) are
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #748.
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1267) ~ (all_12_1 = e1)
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (666), (1267) imply:
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1268) ~ (all_4_2 = e1)
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (400) gives:
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1269) all_12_0 = e1
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (933), (1269) imply:
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1270) e4 = e1
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (1270) imply:
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1271) $false
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1271) is inconsistent.
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1272) all_12_1 = e1 | all_12_4 = e1 | all_12_9 = e1 |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_16 = e1
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (34), (494), (498), (574), (594), (666),
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (701), (702), (722), (726), (875), (965), (973),
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (976), (1038), (1086), (1111), (1120), (1268),
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1272), (function-axioms) are inconsistent by
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #737.
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1273) ~ (all_12_9 = e3)
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (494), (1273) imply:
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1274) ~ (all_4_10 = e3)
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (374), (494), (594), (875), (989), (990),
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1086), (1109), (1274), (function-axioms) are
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #733.
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1275) ~ (all_12_12 = e2)
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (446), (1275) imply:
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1276) ~ (all_4_9 = e2)
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (570), (580), (689), (951), (1039), (1070),
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1085), (1087), (1095), (1276) are inconsistent by
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #726.
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1277) all_10_61 = e2 | all_10_66 = e1 | all_10_71 = e0
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (472), (518), (547), (823), (1017), (1088), (1277)
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #722.
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1278) all_10_73 = e0
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1069), (1278) imply:
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1279) e3 = e0
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (1279) imply:
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1280) $false
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1280) is inconsistent.
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1281) all_8_19 = e2 | all_8_19 = e1 | all_8_19 = e0
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (551), (827), (978), (1064), (1281) are
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #720.
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.12/26.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1282) all_8_10 = e2 | all_8_10 = e1 | all_8_10 = e0
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (568), (921), (988), (1015), (1282) are
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #716.
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1283) all_8_21 = e1 | all_8_21 = e0
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (582), (822), (923), (1283) are inconsistent by
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #715.
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1284) all_8_22 = e2 | all_8_22 = e1 | all_8_22 = e0
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (592), (824), (925), (1019), (1284) are
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #714.
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1285) all_10_67 = e1 | all_10_72 = e0
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1285) gives:
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1286) all_10_67 = e1
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (985), (1286) imply:
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1287) e1 = e0
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (1287) imply:
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1288) $false
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1288) is inconsistent.
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1289) all_10_72 = e0
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (448), (825), (1289) are inconsistent by sub-proof
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #713.
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1290) all_12_8 = e4 | all_12_11 = e4 | all_12_18 = e4
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (454), (658), (664), (842), (886), (989), (1290)
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #712.
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1291) ~ (all_12_16 = e2)
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (659), (1291) imply:
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1292) ~ (all_4_17 = e2)
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (23), (603), (821), (897), (927), (928),
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (972), (1292), (function-axioms) are inconsistent
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #707.
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | End of split
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | End of split
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | End of split
% 176.12/26.17 | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | End of split
% 176.12/26.17 | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | Case 2:
% 176.12/26.17 | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | (1293) ~ (all_10_50 = e4)
% 176.12/26.17 | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | REDUCE: (508), (1293) imply:
% 176.12/26.17 | | | | | | | | | | | | | | | | | | (1294) ~ (all_4_0 = e4)
% 176.12/26.17 | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 176.12/26.17 | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | Case 1:
% 176.12/26.17 | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | (1295) all_8_0 = e4
% 176.12/26.17 | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (564), (1294), (1295) are inconsistent by
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | sub-proof #706.
% 176.12/26.17 | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | Case 2:
% 176.12/26.17 | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | (1296) ~ (all_8_0 = e4)
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | (1297) all_8_0 = e3 | all_8_0 = e2 | all_8_0 = e1 |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | all_8_0 = e0
% 176.12/26.17 | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | BETA: splitting (405) gives:
% 176.12/26.17 | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | Case 1:
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | (1298) all_12_0 = e4
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (1298) imply:
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | (1299) all_4_0 = e4
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | REDUCE: (1294), (1299) imply:
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | (1300) $false
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | CLOSE: (1300) is inconsistent.
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | Case 2:
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | (1301) all_12_2 = e4 | all_12_6 = e4 | all_12_12 = e4 |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | all_12_20 = e4
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | (1302) all_8_10 = e4
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (568), (1302) imply:
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | (1303) all_4_4 = e4
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (29), (35), (66), (399), (401), (404),
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | (506), (564), (668), (685), (830), (843), (882),
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | (1297), (1303), (function-axioms) are inconsistent
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | by sub-proof #696.
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | (1304) ~ (all_8_10 = e4)
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | REDUCE: (568), (1304) imply:
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | (1305) ~ (all_4_4 = e4)
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (23), (24), (25), (365), (446), (486),
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | (603), (659), (665), (689), (690), (691), (821),
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | (881), (897), (915), (927), (1301), (1305),
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | | #690.
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | End of split
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | End of split
% 176.12/26.17 | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | End of split
% 176.12/26.17 | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | End of split
% 176.12/26.17 | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | Case 2:
% 176.12/26.17 | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | (1306) ~ (all_12_20 = e1)
% 176.12/26.17 | | | | | | | | | | | | | | | | | (1307) all_12_21 = e1 | all_12_22 = e1 | all_12_23 = e1 |
% 176.12/26.17 | | | | | | | | | | | | | | | | | all_12_24 = e1
% 176.12/26.17 | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | REDUCE: (657), (1306) imply:
% 176.12/26.17 | | | | | | | | | | | | | | | | | (1308) ~ (all_4_16 = e1)
% 176.12/26.17 | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | BETA: splitting (361) gives:
% 176.12/26.17 | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | Case 1:
% 176.12/26.17 | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | (1309) all_12_20 = e3
% 176.12/26.17 | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (1309) imply:
% 176.12/26.17 | | | | | | | | | | | | | | | | | | (1310) all_4_16 = e3
% 176.12/26.17 | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | SIMP: (1310) implies:
% 176.12/26.17 | | | | | | | | | | | | | | | | | | (1311) all_4_16 = e3
% 176.12/26.17 | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | REDUCE: (50), (1311) imply:
% 176.12/26.17 | | | | | | | | | | | | | | | | | | (1312) op(e3, all_4_17) = e4
% 176.12/26.17 | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | BETA: splitting (365) gives:
% 176.12/26.17 | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | Case 1:
% 176.12/26.17 | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | (1313) all_12_16 = e3
% 176.12/26.17 | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (1313) imply:
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | (1314) all_4_17 = e3
% 176.12/26.17 | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | SIMP: (1314) implies:
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | (1315) all_4_17 = e3
% 176.12/26.17 | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | REDUCE: (1312), (1315) imply:
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | (1316) op(e3, e3) = e4
% 176.12/26.17 | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (882), (1316), (function-axioms) are
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #704.
% 176.12/26.17 | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | Case 2:
% 176.12/26.17 | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | (1317) ~ (all_12_16 = e3)
% 176.12/26.17 | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | REDUCE: (659), (1317) imply:
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | (1318) ~ (all_4_17 = e3)
% 176.12/26.17 | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | BETA: splitting (364) gives:
% 176.12/26.17 | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | Case 1:
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | (1319) all_12_16 = e2
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (1319) imply:
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | (1320) all_4_17 = e2
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | REDUCE: (1312), (1320) imply:
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | (1321) op(e3, e2) = e4
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (883), (1321), (function-axioms) are
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #689.
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | Case 2:
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | (1322) ~ (all_12_16 = e2)
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | REDUCE: (659), (1322) imply:
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | (1323) ~ (all_4_17 = e2)
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (603), (821), (841), (897), (1312), (1318),
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | (1323), (function-axioms) are inconsistent by
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | | sub-proof #687.
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | | End of split
% 176.12/26.17 | | | | | | | | | | | | | | | | | | |
% 176.12/26.17 | | | | | | | | | | | | | | | | | | End of split
% 176.12/26.17 | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | Case 2:
% 176.12/26.18 | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | (1324) ~ (all_12_20 = e3)
% 176.12/26.18 | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | REDUCE: (657), (1324) imply:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | (1325) ~ (all_4_16 = e3)
% 176.12/26.18 | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | BETA: splitting (869) gives:
% 176.12/26.18 | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | Case 1:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | (1326) all_8_20 = e3
% 176.12/26.18 | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (572), (1326) imply:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | (1327) all_4_16 = e3
% 176.12/26.18 | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | REDUCE: (1325), (1327) imply:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | (1328) $false
% 176.12/26.18 | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | CLOSE: (1328) is inconsistent.
% 176.12/26.18 | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | Case 2:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | (1329) ~ (all_8_20 = e3)
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | (1330) all_8_20 = e2 | all_8_20 = e1 | all_8_20 = e0
% 176.12/26.18 | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | BETA: splitting (1330) gives:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | Case 1:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | (1331) all_8_20 = e2
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (572), (1331) imply:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | (1332) all_4_16 = e2
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | REDUCE: (670), (1332) imply:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | (1333) ~ (all_4_0 = e2)
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | REDUCE: (677), (1332) imply:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | (1334) ~ (all_4_1 = e2)
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | REDUCE: (693), (1332) imply:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | (1335) ~ (all_4_18 = e2)
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | SIMP: (1335) implies:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | (1336) ~ (all_4_18 = e2)
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | REDUCE: (1325), (1332) imply:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | (1337) ~ (e3 = e2)
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | REDUCE: (50), (1332) imply:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | (1338) op(e2, all_4_17) = e4
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | REDUCE: (771), (1332) imply:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | (1339) op(e2, e4) = all_10_20
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | REDUCE: (49), (1332) imply:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | (1340) op(all_4_17, e2) = e0
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_4,
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | all_10_20, e4, e2, simplifying with (31), (1339)
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | gives:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | (1341) all_10_20 = all_4_4
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | BETA: splitting (329) gives:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | (1342) all_10_50 = e4
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (508), (1342) imply:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | (1343) all_4_0 = e4
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | SIMP: (1343) implies:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | (1344) all_4_0 = e4
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (1344) imply:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | (1345) all_12_0 = e4
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | REDUCE: (671), (1344) imply:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | (1346) ~ (all_4_2 = e4)
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | SIMP: (1346) implies:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | (1347) ~ (all_4_2 = e4)
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | REDUCE: (668), (1344) imply:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | (1348) ~ (all_4_4 = e4)
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | SIMP: (1348) implies:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | (1349) ~ (all_4_4 = e4)
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | REDUCE: (672), (1344) imply:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | (1350) ~ (all_4_5 = e4)
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | SIMP: (1350) implies:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | (1351) ~ (all_4_5 = e4)
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | REDUCE: (669), (1344) imply:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | (1352) ~ (all_4_9 = e4)
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | SIMP: (1352) implies:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | (1353) ~ (all_4_9 = e4)
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | REDUCE: (674), (1344) imply:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | (1354) ~ (all_4_17 = e4)
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | REDUCE: (767), (1344) imply:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | (1355) op(e4, e4) = all_10_0
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | REDUCE: (41), (1344) imply:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | (1356) op(e4, e4) = e4
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_10_0,
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | e4, e4, simplifying with (1355), (1356) gives:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | (1357) all_10_0 = e4
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | (1358) all_8_10 = e4
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (568), (1349), (1358) are inconsistent by
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | sub-proof #781.
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | (1359) all_8_10 = e3 | all_8_10 = e2 | all_8_10 = e1 |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | all_8_10 = e0
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (323) gives:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | (1360) all_10_55 = e4
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (500), (1360) imply:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | (1361) all_4_2 = e4
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1347), (1361) imply:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | (1362) $false
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1362) is inconsistent.
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | (1363) ~ (all_10_55 = e4)
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | (1364) all_10_56 = e3 | all_10_57 = e2 | all_10_58 = e1 |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | all_10_59 = e0
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (325) gives:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | (1365) all_10_53 = e4
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (534), (1365) imply:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | (1366) all_4_9 = e4
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1353), (1366) imply:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | (1367) $false
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1367) is inconsistent.
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | (1368) all_10_58 = e3 | all_10_63 = e2 | all_10_68 = e1 |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | all_10_73 = e0
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (386) gives:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | (1369) all_12_4 = e4
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (1351), (1369) are inconsistent by
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #686.
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | (1370) ~ (all_12_4 = e4)
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | (1371) all_12_5 = e4 | all_12_8 = e4 | all_12_14 = e4 |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | all_12_22 = e4
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (322) gives:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (1372) all_10_60 = e4
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (516), (1351), (1372) are inconsistent by
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #685.
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (1373) ~ (all_10_60 = e4)
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (1374) all_10_61 = e3 | all_10_62 = e2 | all_10_63 = e1 |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_64 = e0
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1375) all_8_1 = e4
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (574), (1347), (1375) are inconsistent by
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #776.
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1376) all_8_1 = e3 | all_8_1 = e2 | all_8_1 = e1 |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_1 = e0
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1377) all_8_2 = e4
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (1351), (1377) are inconsistent by
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #777.
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1378) all_8_2 = e3 | all_8_2 = e2 | all_8_2 = e1 |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_2 = e0
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (363) gives:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1379) all_12_16 = e1
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (659), (842), (1338), (1379),
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #683.
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1380) ~ (all_12_16 = e1)
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (659), (1380) imply:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1381) ~ (all_4_17 = e1)
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (389) gives:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1382) all_12_2 = e2
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (1334), (1382) are inconsistent by
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #682.
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1383) ~ (all_12_2 = e2)
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1384) all_12_3 = e2 | all_12_5 = e2 | all_12_10 = e2 |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_17 = e2
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (403) gives:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1385) all_12_0 = e3
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1345), (1385) imply:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1386) e4 = e3
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (1386) imply:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1387) $false
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1387) is inconsistent.
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1388) all_12_2 = e3 | all_12_6 = e3 | all_12_12 = e3 |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_20 = e3
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (365) gives:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1389) all_12_16 = e3
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (1389) imply:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1390) all_4_17 = e3
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1390) implies:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1391) all_4_17 = e3
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (893), (1391) imply:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1392) all_10_9 = e3
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (727), (1391) imply:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1393) ~ (all_4_5 = e3)
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (746), (1391) imply:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1394) ~ (all_4_10 = e3)
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (758), (1391) imply:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1395) ~ (all_4_21 = e3)
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1395) implies:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1396) ~ (all_4_21 = e3)
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (884), (1391) imply:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1397) ~ (e4 = e3)
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1340), (1391) imply:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1398) op(e3, e2) = e0
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (787), (1391) imply:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1399) op(e3, e0) = all_10_4
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1338), (1391) imply:
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1400) op(e2, e3) = e4
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_6, e4,
% 176.12/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (30), (1400) gives:
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1401) all_4_6 = e4
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_10_4,
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e3, simplifying with (891), (1399) gives:
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1402) all_10_4 = e4
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_7, e0,
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (34), (1398) gives:
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1403) all_4_7 = e0
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (518), (1403) imply:
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1404) all_10_61 = e0
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (1403) imply:
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1405) all_12_5 = e0
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (679), (1403) imply:
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1406) ~ (all_4_1 = e0)
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (707), (1403) imply:
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1407) ~ (all_4_3 = e0)
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (722), (1403) imply:
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1408) ~ (all_4_5 = e0)
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (712), (1401) imply:
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1409) ~ (all_4_8 = e4)
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1409) implies:
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1410) ~ (all_4_8 = e4)
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (711), (1401) imply:
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1411) ~ (all_4_18 = e4)
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (728), (1403) imply:
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1412) ~ (all_4_8 = e0)
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1412) implies:
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1413) ~ (all_4_8 = e0)
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (729), (1403) imply:
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1414) ~ (all_4_13 = e0)
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1414) implies:
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1415) ~ (all_4_13 = e0)
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (730), (1403) imply:
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1416) ~ (all_4_20 = e0)
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (883), (1403) imply:
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1417) ~ (e4 = e0)
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (774), (1401) imply:
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1418) op(e4, e3) = all_10_11
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (59), (1401), (1403) imply:
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1419) op(e0, e4) = e2
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (778), (1403) imply:
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1420) op(e0, e2) = all_10_7
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1371) gives:
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1421) all_12_5 = e4
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1405), (1421) imply:
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1422) e4 = e0
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (1422) imply:
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1423) $false
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1423) is inconsistent.
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1424) all_12_8 = e4 | all_12_14 = e4 | all_12_22 = e4
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1424) gives:
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1425) all_12_8 = e4
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (664), (1410), (1425) are inconsistent by
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #681.
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1426) all_12_14 = e4 | all_12_22 = e4
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1426) gives:
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1427) all_12_14 = e4
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (661), (1427) imply:
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1428) all_4_13 = e4
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1428) implies:
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1429) all_4_13 = e4
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (435), (1429) imply:
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1430) all_10_63 = e4
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (738), (1429) imply:
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1431) ~ (all_4_15 = e4)
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (53), (1429) imply:
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1432) op(e4, all_4_14) = e2
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (780), (1429) imply:
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1433) op(e4, e2) = all_10_17
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (52), (1429) imply:
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1434) op(all_4_14, e4) = e1
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1374) gives:
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1435) all_10_61 = e3
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1404), (1435) imply:
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1436) e3 = e0
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (1436) imply:
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1437) $false
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1437) is inconsistent.
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1438) ~ (all_10_61 = e3)
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1439) all_10_62 = e2 | all_10_63 = e1 | all_10_64 = e0
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1404), (1438) imply:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1440) ~ (e3 = e0)
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1439) gives:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1441) all_10_62 = e2
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (455), (1441) imply:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1442) all_4_8 = e2
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1442) implies:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1443) all_4_8 = e2
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (664), (1443) imply:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1444) all_12_8 = e2
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (1443) imply:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1445) ~ (all_4_4 = e2)
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (723), (1443) imply:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1446) ~ (all_4_5 = e2)
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (735), (1443) imply:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1447) ~ (all_4_14 = e2)
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1447) implies:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1448) ~ (all_4_14 = e2)
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (734), (1443) imply:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1449) ~ (all_4_20 = e2)
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1449) implies:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1450) ~ (all_4_20 = e2)
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (736), (1443) imply:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1451) ~ (all_4_21 = e2)
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1451) implies:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1452) ~ (all_4_21 = e2)
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1410), (1443) imply:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1453) ~ (e4 = e2)
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (779), (1443) imply:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1454) op(e2, e2) = all_10_12
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (29), (1443) imply:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1455) op(e2, e2) = e2
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (385) gives:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1456) all_12_4 = e3
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (1393), (1456) are inconsistent by
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #680.
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1457) ~ (all_12_4 = e3)
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1458) all_12_5 = e3 | all_12_8 = e3 | all_12_14 = e3 |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_22 = e3
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1458) gives:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1459) all_12_5 = e3
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1405), (1459) imply:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1460) e3 = e0
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (1460) imply:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1461) $false
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1461) is inconsistent.
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1462) all_12_8 = e3 | all_12_14 = e3 | all_12_22 = e3
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1462) gives:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1463) all_12_8 = e3
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (1444), (1463) are inconsistent by sub-proof
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #679.
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1464) all_12_14 = e3 | all_12_22 = e3
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1378) gives:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1465) all_8_2 = e3
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (1393), (1465) are inconsistent by
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #753.
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1466) all_8_2 = e2 | all_8_2 = e1 | all_8_2 = e0
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1466) gives:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1467) all_8_2 = e2
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (1446), (1467) are inconsistent by
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #752.
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1468) all_8_2 = e1 | all_8_2 = e0
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (900) gives:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1469) all_8_14 = e3
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (607), (1396), (1469) are inconsistent by
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #678.
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1470) all_8_14 = e2 | all_8_14 = e1 | all_8_14 = e0
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1464) gives:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1471) all_12_14 = e3
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (1427), (1471) are inconsistent by sub-proof
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #677.
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1472) all_12_22 = e3
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (655), (1472) imply:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1473) all_4_20 = e3
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1473) implies:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1474) all_4_20 = e3
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (719), (1474) imply:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1475) ~ (all_4_18 = e3)
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (46), (1474) imply:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1476) op(e3, all_4_21) = e2
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (781), (1474) imply:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1477) op(e3, e2) = all_10_22
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (1474) imply:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1478) op(all_4_21, e3) = e0
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (814), (1474) imply:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1479) op(e0, e3) = all_10_47
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (383) gives:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1480) all_12_4 = e1
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (1480) imply:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1481) all_4_5 = e1
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1481) implies:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1482) all_4_5 = e1
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (1482) imply:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1483) op(all_4_4, e1) = e4
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (61), (1482) imply:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1484) op(e1, all_4_4) = e2
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (777), (1482) imply:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1485) op(e1, e2) = all_10_2
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (859) gives:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1486) all_8_21 = e3
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (582), (1475), (1486) are inconsistent by
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #676.
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1487) ~ (all_8_21 = e3)
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1488) all_8_21 = e2 | all_8_21 = e1 | all_8_21 = e0
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1488) gives:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1489) all_8_21 = e2
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (582), (1336), (1489) are inconsistent by
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #675.
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1490) all_8_21 = e1 | all_8_21 = e0
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1307) gives:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1491) all_12_21 = e1
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (656), (1491) imply:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1492) all_4_18 = e1
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1492) implies:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1493) all_4_18 = e1
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (700), (1493) imply:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1494) ~ (all_4_2 = e1)
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (845), (1493) imply:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1495) ~ (e4 = e1)
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1475), (1493) imply:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1496) ~ (e3 = e1)
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (776), (1493) imply:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1497) op(e1, e3) = all_10_21
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (813), (1493) imply:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1498) op(e0, e1) = all_10_46
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1364) gives:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1499) all_10_56 = e3
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (514), (1499) imply:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1500) all_4_3 = e3
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (482), (1500) imply:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1501) all_12_3 = e3
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (678), (1500) imply:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1502) ~ (all_4_1 = e3)
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (697), (1500) imply:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1503) ~ (all_4_2 = e3)
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (705), (1500) imply:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1504) ~ (all_4_11 = e3)
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1504) implies:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1505) ~ (all_4_11 = e3)
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (773), (1500) imply:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1506) op(e3, e3) = all_10_6
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (35), (1500) imply:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1507) op(e3, e3) = e3
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (911) gives:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1508) all_8_5 = e3
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (566), (1502), (1508) are inconsistent by
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #764.
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1509) ~ (all_8_5 = e3)
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1510) all_8_5 = e2 | all_8_5 = e1 | all_8_5 = e0
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1510) gives:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1511) all_8_5 = e2
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (566), (1334), (1511) are inconsistent by
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #763.
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1512) all_8_5 = e1 | all_8_5 = e0
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1470) gives:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1513) all_8_14 = e2
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (607), (1452), (1513) are inconsistent by
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #674.
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1514) all_8_14 = e1 | all_8_14 = e0
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1384) gives:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1515) all_12_3 = e2
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1501), (1515) imply:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1516) e3 = e2
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (1516) imply:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1517) $false
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1517) is inconsistent.
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1518) all_12_5 = e2 | all_12_10 = e2 | all_12_17 = e2
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1518) gives:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1519) all_12_5 = e2
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1405), (1519) imply:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1520) e2 = e0
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1441), (1520) imply:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1521) all_10_62 = e0
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12), (415), (824), (1430), (1439), (1521)
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #670.
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1522) all_12_10 = e2 | all_12_17 = e2
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1522) gives:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1523) all_12_10 = e2
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (663), (1523) imply:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1524) all_4_12 = e2
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1524) implies:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1525) all_4_12 = e2
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (742), (1525) imply:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1526) ~ (all_4_10 = e2)
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (55), (1525) imply:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1527) op(all_4_11, e2) = e3
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (783), (1525) imply:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1528) op(e2, e1) = all_10_8
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (800), (1525) imply:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1529) op(e3, e2) = all_10_33
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1368) gives:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1530) all_10_58 = e3
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (1530) imply:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1531) all_4_11 = e3
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1505), (1531) imply:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1532) $false
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1532) is inconsistent.
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1533) all_10_63 = e2 | all_10_68 = e1 | all_10_73 = e0
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1533) gives:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1534) all_10_63 = e2
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (1430), (1534) are inconsistent by sub-proof
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #768.
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1535) all_10_68 = e1 | all_10_73 = e0
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (388) gives:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1536) all_12_2 = e1
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (1536) imply:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1537) all_4_1 = e1
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1537) implies:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1538) all_4_1 = e1
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (65), (1538) imply:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1539) op(e1, all_4_2) = e4
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (768), (1538) imply:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1540) op(e1, e4) = all_10_5
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (875) gives:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1541) all_8_3 = e3
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (594), (1394), (1541) are inconsistent by
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #735.
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1542) all_8_3 = e2 | all_8_3 = e1 | all_8_3 = e0
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1542) gives:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1543) all_8_3 = e2
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (594), (1526), (1543) are inconsistent by
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #744.
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1544) ~ (all_8_3 = e2)
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1545) all_8_3 = e1 | all_8_3 = e0
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1535) gives:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1546) all_10_68 = e1
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (1546) imply:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1547) all_4_15 = e1
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (660), (1547) imply:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1548) all_12_15 = e1
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (1547) imply:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1549) ~ (all_4_10 = e1)
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (751), (1547) imply:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1550) ~ (all_4_14 = e1)
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (755), (1547) imply:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1551) ~ (all_4_23 = e1)
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1551) implies:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1552) ~ (all_4_23 = e1)
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (785), (1547) imply:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1553) op(e1, e1) = all_10_18
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23), (1547) imply:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1554) op(e1, e1) = e1
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (370) gives:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1555) all_12_12 = e3
% 176.36/26.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (1555) imply:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1556) all_4_9 = e3
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1556) implies:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1557) all_4_9 = e3
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (682), (1557) imply:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1558) ~ (all_4_4 = e3)
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (692), (1557) imply:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1559) ~ (all_4_23 = e3)
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1559) implies:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1560) ~ (all_4_23 = e3)
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (770), (1557) imply:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1561) op(e3, e4) = all_10_15
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (56), (1557) imply:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1562) op(all_4_10, e3) = e1
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (26), (1557) imply:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1563) op(e1, e4) = e3
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (367) gives:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1564) all_12_12 = e0
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1555), (1564) are inconsistent by sub-proof
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #669.
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1565) all_12_13 = e0 | all_12_14 = e0 | all_12_15 = e0 |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_19 = e0
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1565) gives:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1566) all_12_13 = e0
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (662), (1566) imply:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1567) all_4_11 = e0
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1567) implies:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1568) all_4_11 = e0
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (718), (1568) imply:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1569) ~ (all_4_23 = e0)
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (775), (1568) imply:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1570) op(e0, e3) = all_10_16
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1527), (1568) imply:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1571) op(e0, e2) = e3
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (394) gives:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1572) all_12_1 = e2
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (1572) imply:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1573) all_4_2 = e2
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (702), (1573) imply:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1574) ~ (all_4_10 = e2)
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (772), (1573) imply:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1575) op(e2, e3) = all_10_1
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1539), (1573) imply:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1576) op(e1, e2) = e4
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (895) gives:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1577) all_8_19 = e3
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (551), (1560), (1577) are inconsistent by
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #668.
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1578) all_8_19 = e2 | all_8_19 = e1 | all_8_19 = e0
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1578) gives:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1579) all_8_19 = e2
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (551), (1579) imply:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1580) all_4_23 = e2
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1580) implies:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1581) all_4_23 = e2
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (790), (1581) imply:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1582) op(e2, e0) = all_10_19
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (847), (1581) imply:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1583) op(e4, e2) = e1
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1545) gives:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1584) all_8_3 = e1
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (594), (1549), (1584) are inconsistent by
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #743.
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1585) all_8_3 = e0
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (594), (1585) imply:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1586) all_4_10 = e0
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1586) implies:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1587) all_4_10 = e0
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (853), (1587) imply:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1588) all_10_23 = e0
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1562), (1587) imply:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1589) op(e0, e3) = e1
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (782), (1587) imply:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1590) op(e0, e1) = all_10_3
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (377) gives:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1591) all_12_6 = e0
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (1591) imply:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1592) all_4_4 = e0
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1592) implies:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1593) all_4_4 = e0
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1341), (1593) imply:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1594) all_10_20 = e0
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (687), (1593) imply:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1595) ~ (all_4_21 = e0)
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (769), (1593) imply:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1596) op(e0, e4) = all_10_10
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1484), (1593) imply:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1597) op(e1, e0) = e2
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (908) gives:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1598) all_8_13 = e3
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (598), (1598) imply:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1599) all_4_14 = e3
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1599) implies:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1600) all_4_14 = e3
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1434), (1600) imply:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1601) op(e3, e4) = e1
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (784), (1600) imply:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1602) op(e3, e1) = all_10_13
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1432), (1600) imply:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1603) op(e4, e3) = e2
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (805), (1600) imply:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1604) op(e2, e3) = all_10_38
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (28), (1600) imply:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1605) op(e2, e1) = e3
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1514) gives:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1606) all_8_14 = e1
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (607), (1606) imply:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1607) all_4_21 = e1
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1607) implies:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1608) all_4_21 = e1
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1478), (1608) imply:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1609) op(e1, e3) = e0
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (789), (1608) imply:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1610) op(e1, e0) = all_10_14
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1476), (1608) imply:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1611) op(e3, e1) = e2
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (27), (1608) imply:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1612) op(e2, e0) = e1
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_10_3,
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, simplifying with (851), (1590) gives:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1613) all_10_3 = e4
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_46,
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_3, e1, e0, simplifying with (1498), (1590)
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1614) all_10_3 = all_10_46
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_10_7,
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (1420), (1571) gives:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1615) all_10_7 = e3
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_47,
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_16, e3, e0, simplifying with (1479), (1570)
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1616) all_10_16 = all_10_47
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_16, e3, e0, simplifying with (1570), (1589)
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1617) all_10_16 = e1
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_10, e4, e0, simplifying with (1419), (1596)
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1618) all_10_10 = e2
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_14, e0, e1, simplifying with (1597), (1610)
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1619) all_10_14 = e2
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_18, e1, e1, simplifying with (1553), (1554)
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1620) all_10_18 = e1
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_10_2,
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (1485), (1576) gives:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1621) all_10_2 = e4
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_21, e3, e1, simplifying with (1497), (1609)
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1622) all_10_21 = e0
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_10_5,
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e1, simplifying with (1540), (1563) gives:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1623) all_10_5 = e3
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_19, e0, e2, simplifying with (1582), (1612)
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1624) all_10_19 = e1
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_10_8,
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (1528), (1605) gives:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1625) all_10_8 = e3
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_12, e2, e2, simplifying with (1454), (1455)
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1626) all_10_12 = e2
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_10_1,
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (1400), (1575) gives:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1627) all_10_1 = e4
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_38,
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_1, e3, e2, simplifying with (1575), (1604)
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1628) all_10_1 = all_10_38
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_13, e1, e3, simplifying with (1602), (1611)
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1629) all_10_13 = e2
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_22, e2, e3, simplifying with (1398), (1477)
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1630) all_10_22 = e0
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_33,
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_22, e2, e3, simplifying with (1477), (1529)
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1631) all_10_22 = all_10_33
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_10_6,
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (1506), (1507) gives:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1632) all_10_6 = e3
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_15, e4, e3, simplifying with (1561), (1601)
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1633) all_10_15 = e1
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_17, e2, e4, simplifying with (1433), (1583)
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1634) all_10_17 = e1
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_11, e3, e4, simplifying with (1418), (1603)
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1635) all_10_11 = e2
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1627), (1628) imply:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1636) all_10_38 = e4
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1613), (1614) imply:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1637) all_10_46 = e4
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1616), (1617) imply:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1638) all_10_47 = e1
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1630), (1631) imply:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1639) all_10_33 = e0
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (331), (832), (1357), (1392), (1402), (1588),
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1594), (1613), (1615), (1617), (1618), (1619),
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1620), (1621), (1622), (1623), (1624), (1625),
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1626), (1627), (1629), (1630), (1632), (1633),
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1634), (1635) are inconsistent by sub-proof #666.
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1640) all_8_14 = e0
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (607), (825), (1640) are inconsistent by sub-proof
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #665.
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1641) all_8_13 = e2 | all_8_13 = e1 | all_8_13 = e0
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (594), (598), (743), (1448), (1526), (1542),
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1549), (1550), (1641) are inconsistent by
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #662.
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1642) ~ (all_12_6 = e0)
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (665), (1642) imply:
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1643) ~ (all_4_4 = e0)
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (378), (566), (568), (665), (675), (911), (1334),
% 176.36/26.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1359), (1406), (1445), (1502), (1558), (1643) are
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #654.
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1644) all_8_19 = e1 | all_8_19 = e0
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (551), (827), (1552), (1644) are inconsistent by
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #721.
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1645) ~ (all_12_1 = e2)
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (666), (1645) imply:
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1646) ~ (all_4_2 = e2)
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (574), (594), (702), (1376), (1494), (1503),
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1526), (1542), (1549), (1646) are inconsistent by
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #653.
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1647) all_12_14 = e0 | all_12_15 = e0 | all_12_19 = e0
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (895) gives:
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1648) all_8_19 = e3
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (551), (1560), (1648) are inconsistent by
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #668.
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1649) all_8_19 = e2 | all_8_19 = e1 | all_8_19 = e0
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1649) gives:
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1650) all_8_19 = e2
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (551), (1650) imply:
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1651) all_4_23 = e2
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1651) implies:
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1652) all_4_23 = e2
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (430), (1652) imply:
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1653) all_12_19 = e2
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1647) gives:
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1654) all_12_14 = e0
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (1427), (1654) are inconsistent by sub-proof
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #652.
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1655) all_12_15 = e0 | all_12_19 = e0
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1655) gives:
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1656) all_12_15 = e0
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1548), (1656) imply:
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1657) e1 = e0
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (1657) imply:
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1658) $false
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1658) is inconsistent.
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1659) all_12_19 = e0
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1653), (1659) imply:
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1660) e2 = e0
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1441), (1660) imply:
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1661) all_10_62 = e0
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12), (415), (824), (1430), (1439), (1661)
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #670.
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1662) all_8_19 = e1 | all_8_19 = e0
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (551), (827), (1552), (1662) are inconsistent by
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #721.
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1663) ~ (all_12_12 = e3)
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (446), (1663) imply:
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1664) ~ (all_4_9 = e3)
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (33), (446), (657), (665), (841), (1325),
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1388), (1483), (1536), (1664), (function-axioms)
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #647.
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1665) all_10_73 = e0
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (654), (827), (1665) are inconsistent by sub-proof
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #646.
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1666) ~ (all_12_2 = e1)
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (486), (1666) imply:
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1667) ~ (all_4_1 = e1)
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1512) gives:
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1668) all_8_5 = e1
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (566), (1667), (1668) are inconsistent by
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #762.
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1669) all_8_5 = e0
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (566), (1406), (1669) are inconsistent by
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #659.
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1670) all_12_17 = e2
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (880), (1670) imply:
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1671) e4 = e2
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13), (1671) imply:
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1672) $false
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1672) is inconsistent.
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1673) ~ (all_10_56 = e3)
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (514), (1673) imply:
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1674) ~ (all_4_3 = e3)
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (905) gives:
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1675) all_10_56 = e3
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (514), (1675) imply:
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1676) all_4_3 = e3
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1674), (1676) imply:
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1677) $false
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1677) is inconsistent.
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1678) all_10_61 = e2 | all_10_66 = e1 | all_10_71 = e0
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1678) gives:
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1679) all_10_61 = e2
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1404), (1679) imply:
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1680) e2 = e0
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1680) implies:
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1681) e2 = e0
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1441), (1681) imply:
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1682) all_10_62 = e0
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12), (415), (824), (1430), (1439), (1682)
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #670.
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1683) all_10_66 = e1 | all_10_71 = e0
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1683) gives:
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1684) all_10_66 = e1
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (472), (1684) imply:
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1685) all_4_12 = e1
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1685) implies:
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1686) all_4_12 = e1
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (1686) imply:
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1687) ~ (all_4_15 = e1)
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1687) implies:
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1688) ~ (all_4_15 = e1)
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (872) gives:
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1689) all_10_66 = e3
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1684), (1689) imply:
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1690) e3 = e1
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1690) implies:
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1691) e3 = e1
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (1691) imply:
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1692) $false
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1692) is inconsistent.
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1693) all_10_67 = e2 | all_10_68 = e1 | all_10_69 = e0
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (431), (532), (838), (1448), (1688), (1693)
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #643.
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1694) all_10_71 = e0
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (879), (1694) are inconsistent by sub-proof
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #642.
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1695) ~ (all_12_21 = e1)
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (656), (1695) imply:
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1696) ~ (all_4_18 = e1)
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (582), (822), (1490), (1696) are inconsistent by
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #715.
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1697) ~ (all_12_4 = e1)
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (498), (1697) imply:
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1698) ~ (all_4_5 = e1)
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (1408), (1468), (1698) are inconsistent by
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #641.
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1699) all_10_63 = e1 | all_10_64 = e0
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (415), (824), (1430), (1699) are
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #671.
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1700) all_12_22 = e4
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (655), (846), (1700) are inconsistent by sub-proof
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #640.
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1701) ~ (all_12_16 = e3)
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (659), (1701) imply:
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1702) ~ (all_4_17 = e3)
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (897) gives:
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1703) all_8_4 = e3
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (603), (1702), (1703) are inconsistent by
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #711.
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1704) all_8_4 = e2 | all_8_4 = e1 | all_8_4 = e0
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1704) gives:
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1705) all_8_4 = e2
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (603), (1705) imply:
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1706) all_4_17 = e2
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1706) implies:
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1707) all_4_17 = e2
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1340), (1707) imply:
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1708) op(e2, e2) = e0
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1338), (1707) imply:
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1709) op(e2, e2) = e4
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (29), (1708), (1709), (function-axioms) are
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #639.
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1710) all_8_4 = e1 | all_8_4 = e0
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (603), (821), (1381), (1710) are inconsistent by
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #638.
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | (1711) ~ (all_10_50 = e4)
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | REDUCE: (508), (1711) imply:
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | (1712) ~ (all_4_0 = e4)
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (35), (66), (243), (399), (404), (506),
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | (564), (830), (843), (882), (1333), (1712),
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | | #636.
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | (1713) all_8_20 = e1 | all_8_20 = e0
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (572), (820), (1308), (1713) are inconsistent by
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | | sub-proof #633.
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.22 | | | | | | | | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.22 | | | | | | | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | | | | | | | End of split
% 176.36/26.22 | | | | | | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | | | | | | End of split
% 176.36/26.22 | | | | | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | | | | | End of split
% 176.36/26.22 | | | | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | | | | End of split
% 176.36/26.22 | | | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | | | End of split
% 176.36/26.22 | | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | | End of split
% 176.36/26.22 | | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | End of split
% 176.36/26.22 | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | End of split
% 176.36/26.22 | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | End of split
% 176.36/26.22 | | | | | | | | |
% 176.36/26.22 | | | | | | | | Case 2:
% 176.36/26.22 | | | | | | | | |
% 176.36/26.22 | | | | | | | | | (1714) ~ (all_8_9 = e4)
% 176.36/26.22 | | | | | | | | | (1715) all_8_9 = e3 | all_8_9 = e2 | all_8_9 = e1 | all_8_9
% 176.36/26.22 | | | | | | | | | = e0
% 176.36/26.22 | | | | | | | | |
% 176.36/26.22 | | | | | | | | | REDUCE: (606), (1714) imply:
% 176.36/26.22 | | | | | | | | | (1716) ~ (all_4_19 = e4)
% 176.36/26.22 | | | | | | | | |
% 176.36/26.22 | | | | | | | | | BETA: splitting (224) gives:
% 176.36/26.22 | | | | | | | | |
% 176.36/26.22 | | | | | | | | | Case 1:
% 176.36/26.22 | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | (1717) all_8_19 = e4
% 176.36/26.22 | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | COMBINE_EQS: (551), (1717) imply:
% 176.36/26.22 | | | | | | | | | | (1718) all_4_23 = e4
% 176.36/26.22 | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | REDUCE: (849), (1718) imply:
% 176.36/26.22 | | | | | | | | | | (1719) op(e4, e4) = e0
% 176.36/26.22 | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | REDUCE: (847), (1718) imply:
% 176.36/26.22 | | | | | | | | | | (1720) op(e4, e4) = e1
% 176.36/26.22 | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | REF_CLOSE: (5), (41), (1719), (1720), (function-axioms) are
% 176.36/26.22 | | | | | | | | | | inconsistent by sub-proof #632.
% 176.36/26.22 | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | Case 2:
% 176.36/26.22 | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | (1721) ~ (all_8_19 = e4)
% 176.36/26.22 | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | REDUCE: (551), (1721) imply:
% 176.36/26.22 | | | | | | | | | | (1722) ~ (all_4_23 = e4)
% 176.36/26.22 | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | BETA: splitting (366) gives:
% 176.36/26.22 | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | Case 1:
% 176.36/26.22 | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | (1723) all_12_16 = e4
% 176.36/26.22 | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | COMBINE_EQS: (659), (1723) imply:
% 176.36/26.22 | | | | | | | | | | | (1724) all_4_17 = e4
% 176.36/26.22 | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | COMBINE_EQS: (488), (1724) imply:
% 176.36/26.22 | | | | | | | | | | | (1725) all_10_70 = e4
% 176.36/26.22 | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | REDUCE: (674), (1724) imply:
% 176.36/26.22 | | | | | | | | | | | (1726) ~ (all_4_0 = e4)
% 176.36/26.22 | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | REDUCE: (703), (1724) imply:
% 176.36/26.22 | | | | | | | | | | | (1727) ~ (all_4_2 = e4)
% 176.36/26.22 | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | REDUCE: (727), (1724) imply:
% 176.36/26.22 | | | | | | | | | | | (1728) ~ (all_4_5 = e4)
% 176.36/26.22 | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | REDUCE: (757), (1724) imply:
% 176.36/26.22 | | | | | | | | | | | (1729) ~ (all_4_19 = e4)
% 176.36/26.22 | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | REDUCE: (758), (1724) imply:
% 176.36/26.22 | | | | | | | | | | | (1730) ~ (all_4_21 = e4)
% 176.36/26.22 | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | SIMP: (1730) implies:
% 176.36/26.22 | | | | | | | | | | | (1731) ~ (all_4_21 = e4)
% 176.36/26.22 | | | | | | | | | | |
% 176.36/26.22 | | | | | | | | | | | REDUCE: (759), (1724) imply:
% 176.36/26.22 | | | | | | | | | | | (1732) ~ (all_4_23 = e4)
% 176.36/26.22 | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | REDUCE: (50), (1724) imply:
% 176.36/26.23 | | | | | | | | | | | (1733) op(all_4_16, e4) = e4
% 176.36/26.23 | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | REDUCE: (49), (1724) imply:
% 176.36/26.23 | | | | | | | | | | | (1734) op(e4, all_4_16) = e0
% 176.36/26.23 | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | REDUCE: (796), (1724) imply:
% 176.36/26.23 | | | | | | | | | | | (1735) op(e4, e4) = all_10_29
% 176.36/26.23 | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_0,
% 176.36/26.23 | | | | | | | | | | | all_10_29, e4, e4, simplifying with (41), (1735)
% 176.36/26.23 | | | | | | | | | | | gives:
% 176.36/26.23 | | | | | | | | | | | (1736) all_10_29 = all_4_0
% 176.36/26.23 | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_20,
% 176.36/26.23 | | | | | | | | | | | e4, e4, all_4_16, simplifying with (771), (1733)
% 176.36/26.23 | | | | | | | | | | | gives:
% 176.36/26.23 | | | | | | | | | | | (1737) all_10_20 = e4
% 176.36/26.23 | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | BETA: splitting (328) gives:
% 176.36/26.23 | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | Case 1:
% 176.36/26.23 | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | (1738) all_10_50 = e4
% 176.36/26.23 | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | REF_CLOSE: (508), (1726), (1738) are inconsistent by
% 176.36/26.23 | | | | | | | | | | | | sub-proof #631.
% 176.36/26.23 | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | Case 2:
% 176.36/26.23 | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | (1739) ~ (all_10_50 = e4)
% 176.36/26.23 | | | | | | | | | | | | (1740) all_10_55 = e3 | all_10_60 = e2 | all_10_65 = e1 |
% 176.36/26.23 | | | | | | | | | | | | all_10_70 = e0
% 176.36/26.23 | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | BETA: splitting (329) gives:
% 176.36/26.23 | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | Case 1:
% 176.36/26.23 | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | (1741) all_10_50 = e4
% 176.36/26.23 | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | REF_CLOSE: (508), (1726), (1741) are inconsistent by
% 176.36/26.23 | | | | | | | | | | | | | sub-proof #631.
% 176.36/26.23 | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | Case 2:
% 176.36/26.23 | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | (1742) all_10_51 = e3 | all_10_52 = e2 | all_10_53 = e1 |
% 176.36/26.23 | | | | | | | | | | | | | all_10_54 = e0
% 176.36/26.23 | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | BETA: splitting (243) gives:
% 176.36/26.23 | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | Case 1:
% 176.36/26.23 | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | (1743) all_8_0 = e4
% 176.36/26.23 | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | REF_CLOSE: (564), (1726), (1743) are inconsistent by
% 176.36/26.23 | | | | | | | | | | | | | | sub-proof #706.
% 176.36/26.23 | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | Case 2:
% 176.36/26.23 | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | (1744) all_8_0 = e3 | all_8_0 = e2 | all_8_0 = e1 |
% 176.36/26.23 | | | | | | | | | | | | | | all_8_0 = e0
% 176.36/26.23 | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | BETA: splitting (371) gives:
% 176.36/26.23 | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | Case 1:
% 176.36/26.23 | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | (1745) all_12_12 = e4
% 176.36/26.23 | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | COMBINE_EQS: (446), (1745) imply:
% 176.36/26.23 | | | | | | | | | | | | | | | (1746) all_4_9 = e4
% 176.36/26.23 | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | SIMP: (1746) implies:
% 176.36/26.23 | | | | | | | | | | | | | | | (1747) all_4_9 = e4
% 176.36/26.23 | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | COMBINE_EQS: (534), (1747) imply:
% 176.36/26.23 | | | | | | | | | | | | | | | (1748) all_10_53 = e4
% 176.36/26.23 | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | REDUCE: (676), (1747) imply:
% 176.36/26.23 | | | | | | | | | | | | | | | (1749) ~ (all_4_1 = e4)
% 176.36/26.23 | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | REDUCE: (682), (1747) imply:
% 176.36/26.23 | | | | | | | | | | | | | | | (1750) ~ (all_4_4 = e4)
% 176.36/26.23 | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | REDUCE: (688), (1747) imply:
% 176.36/26.23 | | | | | | | | | | | | | | | (1751) ~ (all_4_16 = e4)
% 176.36/26.23 | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | BETA: splitting (391) gives:
% 176.36/26.23 | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | Case 1:
% 176.36/26.23 | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | (1752) all_12_2 = e4
% 176.36/26.23 | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | REF_CLOSE: (486), (1749), (1752) are inconsistent by
% 176.36/26.23 | | | | | | | | | | | | | | | | sub-proof #695.
% 176.36/26.23 | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | Case 2:
% 176.36/26.23 | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | (1753) ~ (all_12_2 = e4)
% 176.36/26.23 | | | | | | | | | | | | | | | | (1754) all_12_3 = e4 | all_12_5 = e4 | all_12_10 = e4 |
% 176.36/26.23 | | | | | | | | | | | | | | | | all_12_17 = e4
% 176.36/26.23 | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | BETA: splitting (359) gives:
% 176.36/26.23 | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.23 | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | (1755) all_12_20 = e1
% 176.36/26.23 | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (1755) imply:
% 176.36/26.23 | | | | | | | | | | | | | | | | | (1756) all_4_16 = e1
% 176.36/26.23 | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | SIMP: (1756) implies:
% 176.36/26.23 | | | | | | | | | | | | | | | | | (1757) all_4_16 = e1
% 176.36/26.23 | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | COMBINE_EQS: (424), (1757) imply:
% 176.36/26.23 | | | | | | | | | | | | | | | | | (1758) all_10_54 = e1
% 176.36/26.23 | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | REDUCE: (670), (1757) imply:
% 176.36/26.23 | | | | | | | | | | | | | | | | | (1759) ~ (all_4_0 = e1)
% 176.36/26.23 | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | REDUCE: (844), (1757) imply:
% 176.36/26.23 | | | | | | | | | | | | | | | | | (1760) ~ (e4 = e1)
% 176.36/26.23 | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | REDUCE: (1734), (1757) imply:
% 176.36/26.23 | | | | | | | | | | | | | | | | | (1761) op(e4, e1) = e0
% 176.36/26.23 | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_10, e0,
% 176.36/26.23 | | | | | | | | | | | | | | | | | e1, e4, simplifying with (38), (1761) gives:
% 176.36/26.23 | | | | | | | | | | | | | | | | | (1762) all_4_10 = e0
% 176.36/26.23 | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | COMBINE_EQS: (528), (1762) imply:
% 176.36/26.23 | | | | | | | | | | | | | | | | | (1763) all_10_65 = e0
% 176.36/26.23 | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | REDUCE: (840), (1762) imply:
% 176.36/26.23 | | | | | | | | | | | | | | | | | (1764) ~ (e4 = e0)
% 176.36/26.23 | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | BETA: splitting (401) gives:
% 176.36/26.23 | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.23 | | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | | (1765) all_12_0 = e2
% 176.36/26.23 | | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (1765) imply:
% 176.36/26.23 | | | | | | | | | | | | | | | | | | (1766) all_4_0 = e2
% 176.36/26.23 | | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | | REDUCE: (66), (1766) imply:
% 176.36/26.23 | | | | | | | | | | | | | | | | | | (1767) op(e2, e2) = e4
% 176.36/26.23 | | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (29), (58), (63), (381), (454), (462),
% 176.36/26.23 | | | | | | | | | | | | | | | | | | (470), (478), (482), (658), (663), (664), (665),
% 176.36/26.23 | | | | | | | | | | | | | | | | | | (704), (728), (841), (842), (1716), (1731),
% 176.36/26.23 | | | | | | | | | | | | | | | | | | (1750), (1754), (1767), (function-axioms) are
% 176.36/26.23 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #625.
% 176.36/26.23 | | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.23 | | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | | (1768) ~ (all_12_0 = e2)
% 176.36/26.23 | | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | | REDUCE: (506), (1768) imply:
% 176.36/26.23 | | | | | | | | | | | | | | | | | | (1769) ~ (all_4_0 = e2)
% 176.36/26.23 | | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | | BETA: splitting (1744) gives:
% 176.36/26.23 | | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.23 | | | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | (1770) all_8_0 = e3
% 176.36/26.23 | | | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (564), (1770) imply:
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | (1771) all_4_0 = e3
% 176.36/26.23 | | | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | SIMP: (1771) implies:
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | (1772) all_4_0 = e3
% 176.36/26.23 | | | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | REDUCE: (667), (1772) imply:
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | (1773) ~ (all_4_1 = e3)
% 176.36/26.23 | | | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | SIMP: (1773) implies:
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | (1774) ~ (all_4_1 = e3)
% 176.36/26.23 | | | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | REDUCE: (671), (1772) imply:
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | (1775) ~ (all_4_2 = e3)
% 176.36/26.23 | | | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | SIMP: (1775) implies:
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | (1776) ~ (all_4_2 = e3)
% 176.36/26.23 | | | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | REDUCE: (672), (1772) imply:
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | (1777) ~ (all_4_5 = e3)
% 176.36/26.23 | | | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | SIMP: (1777) implies:
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | (1778) ~ (all_4_5 = e3)
% 176.36/26.23 | | | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | BETA: splitting (1740) gives:
% 176.36/26.23 | | | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | | (1779) all_10_55 = e3
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (500), (1776), (1779) are inconsistent by
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | | sub-proof #624.
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | | (1780) all_10_60 = e2 | all_10_65 = e1 | all_10_70 = e0
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1742) gives:
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | | | (1781) all_10_51 = e3
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (512), (1774), (1781) are inconsistent by
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | | | sub-proof #623.
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | | | (1782) all_10_52 = e2 | all_10_53 = e1 | all_10_54 = e0
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1782) gives:
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | | | | (1783) all_10_52 = e2
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (463), (1783) imply:
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | | | | (1784) all_4_4 = e2
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1784) implies:
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | | | | (1785) all_4_4 = e2
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (1785) imply:
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | | | | (1786) op(e2, all_4_5) = e4
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1780) gives:
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | | | | | (1787) all_10_60 = e2
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (516), (1787) imply:
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | | | | | (1788) all_4_5 = e2
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1788) implies:
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | | | | | (1789) all_4_5 = e2
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1778), (1789) imply:
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | | | | | (1790) ~ (e3 = e2)
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1786), (1789) imply:
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | | | | | (1791) op(e2, e2) = e4
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (29), (58), (63), (381), (454), (462),
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | | | | | (470), (478), (482), (658), (663), (664), (665),
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | | | | | (704), (728), (841), (842), (1716), (1731),
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | | | | | (1750), (1754), (1791), (function-axioms) are
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #625.
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | | | | | (1792) all_10_65 = e1 | all_10_70 = e0
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11), (1725), (1763), (1792) are inconsistent
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #621.
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | | | | (1793) all_10_53 = e1 | all_10_54 = e0
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12), (1748), (1758), (1793) are inconsistent
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | | | | by sub-proof #619.
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.23 | | | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.23 | | | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | (1794) all_8_0 = e2 | all_8_0 = e1 | all_8_0 = e0
% 176.36/26.23 | | | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (66), (564), (830), (1726), (1759), (1769),
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | (1794), (function-axioms) are inconsistent by
% 176.36/26.23 | | | | | | | | | | | | | | | | | | | sub-proof #700.
% 176.36/26.23 | | | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.23 | | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | End of split
% 176.36/26.23 | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.23 | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | (1795) ~ (all_12_20 = e1)
% 176.36/26.23 | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | REDUCE: (657), (1795) imply:
% 176.36/26.23 | | | | | | | | | | | | | | | | | (1796) ~ (all_4_16 = e1)
% 176.36/26.23 | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | BETA: splitting (360) gives:
% 176.36/26.23 | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.23 | | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | | (1797) all_12_20 = e2
% 176.36/26.23 | | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (657), (1733), (1750), (1797),
% 176.36/26.23 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 176.36/26.23 | | | | | | | | | | | | | | | | | | #617.
% 176.36/26.23 | | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.23 | | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | | (1798) ~ (all_12_20 = e2)
% 176.36/26.23 | | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | | REDUCE: (657), (1798) imply:
% 176.36/26.23 | | | | | | | | | | | | | | | | | | (1799) ~ (all_4_16 = e2)
% 176.36/26.23 | | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (572), (820), (869), (1733), (1749), (1796),
% 176.36/26.23 | | | | | | | | | | | | | | | | | | (1799), (function-axioms) are inconsistent by
% 176.36/26.23 | | | | | | | | | | | | | | | | | | sub-proof #614.
% 176.36/26.23 | | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | | End of split
% 176.36/26.23 | | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | End of split
% 176.36/26.23 | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | End of split
% 176.36/26.23 | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | Case 2:
% 176.36/26.23 | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | (1800) ~ (all_12_12 = e4)
% 176.36/26.23 | | | | | | | | | | | | | | | (1801) all_12_13 = e4 | all_12_14 = e4 | all_12_15 = e4 |
% 176.36/26.23 | | | | | | | | | | | | | | | all_12_19 = e4
% 176.36/26.23 | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | REDUCE: (446), (1800) imply:
% 176.36/26.23 | | | | | | | | | | | | | | | (1802) ~ (all_4_9 = e4)
% 176.36/26.23 | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | BETA: splitting (360) gives:
% 176.36/26.23 | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | Case 1:
% 176.36/26.23 | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | (1803) all_12_20 = e2
% 176.36/26.23 | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (1803) imply:
% 176.36/26.23 | | | | | | | | | | | | | | | | (1804) all_4_16 = e2
% 176.36/26.23 | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | SIMP: (1804) implies:
% 176.36/26.23 | | | | | | | | | | | | | | | | (1805) all_4_16 = e2
% 176.36/26.23 | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | REDUCE: (1733), (1805) imply:
% 176.36/26.23 | | | | | | | | | | | | | | | | (1806) op(e2, e4) = e4
% 176.36/26.23 | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | REDUCE: (1734), (1805) imply:
% 176.36/26.23 | | | | | | | | | | | | | | | | (1807) op(e4, e2) = e0
% 176.36/26.23 | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_4, e4,
% 176.36/26.23 | | | | | | | | | | | | | | | | e4, e2, simplifying with (31), (1806) gives:
% 176.36/26.23 | | | | | | | | | | | | | | | | (1808) all_4_4 = e4
% 176.36/26.23 | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_5, e0,
% 176.36/26.23 | | | | | | | | | | | | | | | | e2, e4, simplifying with (39), (1807) gives:
% 176.36/26.23 | | | | | | | | | | | | | | | | (1809) all_4_5 = e0
% 176.36/26.23 | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | COMBINE_EQS: (516), (1809) imply:
% 176.36/26.23 | | | | | | | | | | | | | | | | (1810) all_10_60 = e0
% 176.36/26.23 | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | COMBINE_EQS: (463), (1808) imply:
% 176.36/26.23 | | | | | | | | | | | | | | | | (1811) all_10_52 = e4
% 176.36/26.23 | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | REDUCE: (675), (1808) imply:
% 176.36/26.23 | | | | | | | | | | | | | | | | (1812) ~ (all_4_1 = e4)
% 176.36/26.23 | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | REDUCE: (722), (1809) imply:
% 176.36/26.23 | | | | | | | | | | | | | | | | (1813) ~ (all_4_7 = e0)
% 176.36/26.23 | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | SIMP: (1813) implies:
% 176.36/26.23 | | | | | | | | | | | | | | | | (1814) ~ (all_4_7 = e0)
% 176.36/26.23 | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | REDUCE: (724), (1809) imply:
% 176.36/26.23 | | | | | | | | | | | | | | | | (1815) ~ (all_4_13 = e0)
% 176.36/26.23 | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | SIMP: (1815) implies:
% 176.36/26.23 | | | | | | | | | | | | | | | | (1816) ~ (all_4_13 = e0)
% 176.36/26.23 | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | REDUCE: (62), (1808), (1809) imply:
% 176.36/26.23 | | | | | | | | | | | | | | | | (1817) op(e4, e0) = e4
% 176.36/26.23 | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | REDUCE: (769), (1808) imply:
% 176.36/26.23 | | | | | | | | | | | | | | | | (1818) op(e4, e4) = all_10_10
% 176.36/26.23 | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | REDUCE: (61), (1808), (1809) imply:
% 176.36/26.23 | | | | | | | | | | | | | | | | (1819) op(e0, e4) = e2
% 176.36/26.23 | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | REDUCE: (794), (1809) imply:
% 176.36/26.23 | | | | | | | | | | | | | | | | (1820) op(e4, e0) = all_10_27
% 176.36/26.23 | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4,
% 176.36/26.23 | | | | | | | | | | | | | | | | all_10_27, e0, e4, simplifying with (1817), (1820)
% 176.36/26.23 | | | | | | | | | | | | | | | | gives:
% 176.36/26.23 | | | | | | | | | | | | | | | | (1821) all_10_27 = e4
% 176.36/26.23 | | | | | | | | | | | | | | | |
% 176.36/26.23 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_0,
% 176.36/26.23 | | | | | | | | | | | | | | | | all_10_10, e4, e4, simplifying with (41), (1818)
% 176.36/26.23 | | | | | | | | | | | | | | | | gives:
% 176.36/26.24 | | | | | | | | | | | | | | | | (1822) all_10_10 = all_4_0
% 176.36/26.24 | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | BETA: splitting (391) gives:
% 176.36/26.24 | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.24 | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | (1823) all_12_2 = e4
% 176.36/26.24 | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (1812), (1823) are inconsistent by
% 176.36/26.24 | | | | | | | | | | | | | | | | | sub-proof #695.
% 176.36/26.24 | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.24 | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | (1824) all_12_3 = e4 | all_12_5 = e4 | all_12_10 = e4 |
% 176.36/26.24 | | | | | | | | | | | | | | | | | all_12_17 = e4
% 176.36/26.24 | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 176.36/26.24 | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.24 | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | (1825) all_8_7 = e4
% 176.36/26.24 | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (586), (1825) imply:
% 176.36/26.24 | | | | | | | | | | | | | | | | | | (1826) all_4_7 = e4
% 176.36/26.24 | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | SIMP: (1826) implies:
% 176.36/26.24 | | | | | | | | | | | | | | | | | | (1827) all_4_7 = e4
% 176.36/26.24 | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | REDUCE: (728), (1827) imply:
% 176.36/26.24 | | | | | | | | | | | | | | | | | | (1828) ~ (all_4_8 = e4)
% 176.36/26.24 | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | SIMP: (1828) implies:
% 176.36/26.24 | | | | | | | | | | | | | | | | | | (1829) ~ (all_4_8 = e4)
% 176.36/26.24 | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | REDUCE: (729), (1827) imply:
% 176.36/26.24 | | | | | | | | | | | | | | | | | | (1830) ~ (all_4_13 = e4)
% 176.36/26.24 | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | SIMP: (1830) implies:
% 176.36/26.24 | | | | | | | | | | | | | | | | | | (1831) ~ (all_4_13 = e4)
% 176.36/26.24 | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (11), (12), (14), (21), (23), (29),
% 176.36/26.24 | | | | | | | | | | | | | | | | | | (31), (35), (36), (38), (39), (40), (41), (51),
% 176.36/26.24 | | | | | | | | | | | | | | | | | | (57), (62), (63), (64), (65), (66), (227), (242),
% 176.36/26.24 | | | | | | | | | | | | | | | | | | (243), (328), (329), (360), (361), (371), (379),
% 176.36/26.24 | | | | | | | | | | | | | | | | | | (384), (391), (395), (396), (398), (400), (401),
% 176.36/26.24 | | | | | | | | | | | | | | | | | | (402), (403), (404), (405), (424), (430), (446),
% 176.36/26.24 | | | | | | | | | | | | | | | | | | (462), (463), (482), (486), (498), (500), (506),
% 176.36/26.24 | | | | | | | | | | | | | | | | | | (508), (512), (516), (528), (534), (564), (572),
% 176.36/26.24 | | | | | | | | | | | | | | | | | | (574), (580), (656), (657), (660), (661), (662),
% 176.36/26.24 | | | | | | | | | | | | | | | | | | (665), (666), (667), (669), (670), (671), (672),
% 176.36/26.24 | | | | | | | | | | | | | | | | | | (673), (676), (677), (678), (682), (683), (685),
% 176.36/26.24 | | | | | | | | | | | | | | | | | | (688), (698), (701), (705), (710), (712), (717),
% 176.36/26.24 | | | | | | | | | | | | | | | | | | (768), (769), (774), (777), (793), (795), (820),
% 176.36/26.24 | | | | | | | | | | | | | | | | | | (830), (840), (844), (845), (869), (1722), (1725),
% 176.36/26.24 | | | | | | | | | | | | | | | | | | (1726), (1727), (1728), (1733), (1734), (1817),
% 176.36/26.24 | | | | | | | | | | | | | | | | | | (1829), (1831), (function-axioms) are inconsistent
% 176.36/26.24 | | | | | | | | | | | | | | | | | | by sub-proof #568.
% 176.36/26.24 | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.24 | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | (1832) ~ (all_8_7 = e4)
% 176.36/26.24 | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | REDUCE: (586), (1832) imply:
% 176.36/26.24 | | | | | | | | | | | | | | | | | | (1833) ~ (all_4_7 = e4)
% 176.36/26.24 | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | BETA: splitting (1824) gives:
% 176.36/26.24 | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.24 | | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | (1834) all_12_3 = e4
% 176.36/26.24 | | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (482), (1834) imply:
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | (1835) all_4_3 = e4
% 176.36/26.24 | | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | REDUCE: (705), (1835) imply:
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | (1836) ~ (all_4_11 = e4)
% 176.36/26.24 | | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | SIMP: (1836) implies:
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | (1837) ~ (all_4_11 = e4)
% 176.36/26.24 | | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | REDUCE: (63), (1835) imply:
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | (1838) op(e4, e4) = e3
% 176.36/26.24 | | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | BETA: splitting (1801) gives:
% 176.36/26.24 | | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | (1839) all_12_13 = e4
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (662), (1837), (1839) are inconsistent by
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | sub-proof #604.
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | (1840) all_12_14 = e4 | all_12_15 = e4 | all_12_19 = e4
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1840) gives:
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | | (1841) all_12_14 = e4
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (661), (1841) imply:
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | | (1842) all_4_13 = e4
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | | SIMP: (1842) implies:
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | | (1843) all_4_13 = e4
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | | REDUCE: (738), (1843) imply:
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | | (1844) ~ (all_4_15 = e4)
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_0, e3,
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | | e4, e4, simplifying with (41), (1838) gives:
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | | (1845) all_4_0 = e3
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | | REDUCE: (667), (1845) imply:
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | | (1846) ~ (all_4_1 = e3)
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | | SIMP: (1846) implies:
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | | (1847) ~ (all_4_1 = e3)
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | | REDUCE: (671), (1845) imply:
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | | (1848) ~ (all_4_2 = e3)
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | | SIMP: (1848) implies:
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | | (1849) ~ (all_4_2 = e3)
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1740) gives:
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | | | (1850) all_10_55 = e3
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (500), (1850) imply:
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | | | (1851) all_4_2 = e3
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1849), (1851) imply:
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | | | (1852) $false
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1852) is inconsistent.
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | | | (1853) all_10_60 = e2 | all_10_65 = e1 | all_10_70 = e0
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11), (21), (23), (57), (424), (512), (528),
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | | | (534), (782), (843), (844), (1725), (1742),
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | | | (1810), (1811), (1819), (1847), (1853),
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | | | #567.
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | | (1854) all_12_15 = e4 | all_12_19 = e4
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (41), (51), (430), (660), (1722), (1838),
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | | (1854), (function-axioms) are inconsistent by
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | | sub-proof #578.
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.24 | | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.24 | | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | (1855) all_12_5 = e4 | all_12_10 = e4 | all_12_17 = e4
% 176.36/26.24 | | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (470), (478), (663), (841), (1716), (1833), (1855)
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #565.
% 176.36/26.24 | | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.24 | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | End of split
% 176.36/26.24 | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | End of split
% 176.36/26.24 | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | Case 2:
% 176.36/26.24 | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | (1856) ~ (all_12_20 = e2)
% 176.36/26.24 | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | REDUCE: (657), (1856) imply:
% 176.36/26.24 | | | | | | | | | | | | | | | | (1857) ~ (all_4_16 = e2)
% 176.36/26.24 | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | BETA: splitting (359) gives:
% 176.36/26.24 | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.24 | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | (1858) all_12_20 = e1
% 176.36/26.24 | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (1858) imply:
% 176.36/26.24 | | | | | | | | | | | | | | | | | (1859) all_4_16 = e1
% 176.36/26.24 | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | SIMP: (1859) implies:
% 176.36/26.24 | | | | | | | | | | | | | | | | | (1860) all_4_16 = e1
% 176.36/26.24 | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | REDUCE: (1733), (1860) imply:
% 176.36/26.24 | | | | | | | | | | | | | | | | | (1861) op(e1, e4) = e4
% 176.36/26.24 | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_9, e4,
% 176.36/26.24 | | | | | | | | | | | | | | | | | e4, e1, simplifying with (26), (1861) gives:
% 176.36/26.24 | | | | | | | | | | | | | | | | | (1862) all_4_9 = e4
% 176.36/26.24 | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | REDUCE: (1802), (1862) imply:
% 176.36/26.24 | | | | | | | | | | | | | | | | | (1863) $false
% 176.36/26.24 | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | CLOSE: (1863) is inconsistent.
% 176.36/26.24 | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.24 | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | (1864) ~ (all_12_20 = e1)
% 176.36/26.24 | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | REDUCE: (657), (1864) imply:
% 176.36/26.24 | | | | | | | | | | | | | | | | | (1865) ~ (all_4_16 = e1)
% 176.36/26.24 | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | BETA: splitting (869) gives:
% 176.36/26.24 | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.24 | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | (1866) all_8_20 = e3
% 176.36/26.24 | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (572), (1866) imply:
% 176.36/26.24 | | | | | | | | | | | | | | | | | | (1867) all_4_16 = e3
% 176.36/26.24 | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | SIMP: (1867) implies:
% 176.36/26.24 | | | | | | | | | | | | | | | | | | (1868) all_4_16 = e3
% 176.36/26.24 | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (424), (1868) imply:
% 176.36/26.24 | | | | | | | | | | | | | | | | | | (1869) all_10_54 = e3
% 176.36/26.24 | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | REDUCE: (670), (1868) imply:
% 176.36/26.24 | | | | | | | | | | | | | | | | | | (1870) ~ (all_4_0 = e3)
% 176.36/26.24 | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | REDUCE: (677), (1868) imply:
% 176.36/26.24 | | | | | | | | | | | | | | | | | | (1871) ~ (all_4_1 = e3)
% 176.36/26.24 | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | REDUCE: (1733), (1868) imply:
% 176.36/26.24 | | | | | | | | | | | | | | | | | | (1872) op(e3, e4) = e4
% 176.36/26.24 | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | REDUCE: (1734), (1868) imply:
% 176.36/26.24 | | | | | | | | | | | | | | | | | | (1873) op(e4, e3) = e0
% 176.36/26.24 | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_1, e4,
% 176.36/26.24 | | | | | | | | | | | | | | | | | | e4, e3, simplifying with (36), (1872) gives:
% 176.36/26.24 | | | | | | | | | | | | | | | | | | (1874) all_4_1 = e4
% 176.36/26.24 | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_2, e0,
% 176.36/26.24 | | | | | | | | | | | | | | | | | | e3, e4, simplifying with (40), (1873) gives:
% 176.36/26.24 | | | | | | | | | | | | | | | | | | (1875) all_4_2 = e0
% 176.36/26.24 | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (500), (1875) imply:
% 176.36/26.24 | | | | | | | | | | | | | | | | | | (1876) all_10_55 = e0
% 176.36/26.24 | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (512), (1874) imply:
% 176.36/26.24 | | | | | | | | | | | | | | | | | | (1877) all_10_51 = e4
% 176.36/26.24 | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | REDUCE: (671), (1875) imply:
% 176.36/26.24 | | | | | | | | | | | | | | | | | | (1878) ~ (all_4_0 = e0)
% 176.36/26.24 | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | REDUCE: (675), (1874) imply:
% 176.36/26.24 | | | | | | | | | | | | | | | | | | (1879) ~ (all_4_4 = e4)
% 176.36/26.24 | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | SIMP: (1879) implies:
% 176.36/26.24 | | | | | | | | | | | | | | | | | | (1880) ~ (all_4_4 = e4)
% 176.36/26.24 | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | REDUCE: (699), (1875) imply:
% 176.36/26.24 | | | | | | | | | | | | | | | | | | (1881) ~ (all_4_11 = e0)
% 176.36/26.24 | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | SIMP: (1881) implies:
% 176.36/26.24 | | | | | | | | | | | | | | | | | | (1882) ~ (all_4_11 = e0)
% 176.36/26.24 | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | REDUCE: (768), (1874) imply:
% 176.36/26.24 | | | | | | | | | | | | | | | | | | (1883) op(e4, e4) = all_10_5
% 176.36/26.24 | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_0,
% 176.36/26.24 | | | | | | | | | | | | | | | | | | all_10_5, e4, e4, simplifying with (41), (1883)
% 176.36/26.24 | | | | | | | | | | | | | | | | | | gives:
% 176.36/26.24 | | | | | | | | | | | | | | | | | | (1884) all_10_5 = all_4_0
% 176.36/26.24 | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | BETA: splitting (381) gives:
% 176.36/26.24 | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.24 | | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | (1885) all_12_6 = e4
% 176.36/26.24 | | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (665), (1880), (1885) are inconsistent by
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | sub-proof #780.
% 176.36/26.24 | | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.24 | | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | (1886) all_12_7 = e4 | all_12_8 = e4 | all_12_11 = e4 |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | all_12_18 = e4
% 176.36/26.24 | | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 176.36/26.24 | | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | (1887) all_8_16 = e4
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (580), (1887) imply:
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | (1888) all_4_11 = e4
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | REDUCE: (710), (1888) imply:
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | (1889) ~ (all_4_6 = e4)
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | REDUCE: (717), (1888) imply:
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | (1890) ~ (all_4_15 = e4)
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1886) gives:
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.24 | | | | | | | | | | | | | | | | | | | | | (1891) all_12_7 = e4
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (462), (1891) imply:
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | (1892) all_4_6 = e4
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | REDUCE: (1889), (1892) imply:
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | (1893) $false
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | CLOSE: (1893) is inconsistent.
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | (1894) all_12_8 = e4 | all_12_11 = e4 | all_12_18 = e4
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1894) gives:
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | (1895) all_12_8 = e4
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (664), (1895) imply:
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | (1896) all_4_8 = e4
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1896) implies:
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | (1897) all_4_8 = e4
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (58), (1897) imply:
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | (1898) op(e4, e4) = e2
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_0, e2,
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | e4, e4, simplifying with (41), (1898) gives:
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | (1899) all_4_0 = e2
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (668), (1899) imply:
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | (1900) ~ (all_4_4 = e2)
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1900) implies:
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | (1901) ~ (all_4_4 = e2)
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (672), (1899) imply:
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | (1902) ~ (all_4_5 = e2)
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1902) implies:
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | (1903) ~ (all_4_5 = e2)
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1740) gives:
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | (1904) all_10_55 = e3
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1876), (1904) imply:
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | (1905) e3 = e0
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1905) implies:
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | (1906) e3 = e0
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (1906) imply:
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | (1907) $false
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1907) is inconsistent.
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | (1908) ~ (all_10_55 = e3)
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | (1909) all_10_60 = e2 | all_10_65 = e1 | all_10_70 = e0
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1876), (1908) imply:
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | (1910) ~ (e3 = e0)
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1742) gives:
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | (1911) all_10_51 = e3
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (1877), (1911) are inconsistent by sub-proof
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | #612.
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | (1912) all_10_52 = e2 | all_10_53 = e1 | all_10_54 = e0
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1909) gives:
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | (1913) all_10_60 = e2
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (516), (1903), (1913) are inconsistent by
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #585.
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | (1914) all_10_65 = e1 | all_10_70 = e0
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1914) gives:
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (1915) all_10_65 = e1
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (528), (1915) imply:
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (1916) all_4_10 = e1
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1916) implies:
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (1917) all_4_10 = e1
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (1917) imply:
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (1918) op(all_4_9, e1) = e4
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1912) gives:
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1919) all_10_52 = e2
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (463), (1901), (1919) are inconsistent by
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #611.
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1920) all_10_53 = e1 | all_10_54 = e0
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1920) gives:
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1921) all_10_53 = e1
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (534), (1921) imply:
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1922) all_4_9 = e1
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1918), (1922) imply:
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1923) op(e1, e1) = e4
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (843), (1923), (function-axioms) are
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #705.
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1924) all_10_54 = e0
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1869), (1924) imply:
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1925) e3 = e0
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (1925) imply:
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1926) $false
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1926) is inconsistent.
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (1927) all_10_70 = e0
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (1725), (1927) are inconsistent by sub-proof
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | | #622.
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | (1928) all_12_11 = e4 | all_12_18 = e4
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (454), (658), (842), (1731), (1928) are
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #772.
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | (1929) ~ (all_8_16 = e4)
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | REDUCE: (580), (1929) imply:
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | (1930) ~ (all_4_11 = e4)
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1801) gives:
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | (1931) all_12_13 = e4
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (662), (1930), (1931) are inconsistent by
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | sub-proof #604.
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | (1932) all_12_14 = e4 | all_12_15 = e4 | all_12_19 = e4
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1932) gives:
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | (1933) all_12_14 = e4
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (661), (1933) imply:
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | (1934) all_4_13 = e4
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1934) implies:
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | (1935) all_4_13 = e4
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (733), (1935) imply:
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | (1936) ~ (all_4_8 = e4)
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (738), (1935) imply:
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | (1937) ~ (all_4_15 = e4)
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (29), (66), (400), (402), (506), (564),
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | (843), (1744), (1870), (1878), (1936),
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | #605.
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | (1938) all_12_15 = e4 | all_12_19 = e4
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (41), (430), (660), (843), (847), (849),
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | (1938), (function-axioms) are inconsistent by
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | | sub-proof #564.
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.25 | | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | End of split
% 176.36/26.25 | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | Case 2:
% 176.36/26.25 | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | (1939) all_8_20 = e2 | all_8_20 = e1 | all_8_20 = e0
% 176.36/26.25 | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | | REF_CLOSE: (572), (820), (1857), (1865), (1939) are
% 176.36/26.25 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #615.
% 176.36/26.25 | | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | | End of split
% 176.36/26.25 | | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | | End of split
% 176.36/26.25 | | | | | | | | | | | | | | | |
% 176.36/26.25 | | | | | | | | | | | | | | | End of split
% 176.36/26.25 | | | | | | | | | | | | | | |
% 176.66/26.25 | | | | | | | | | | | | | | End of split
% 176.66/26.25 | | | | | | | | | | | | | |
% 176.66/26.25 | | | | | | | | | | | | | End of split
% 176.66/26.25 | | | | | | | | | | | | |
% 176.66/26.25 | | | | | | | | | | | | End of split
% 176.66/26.25 | | | | | | | | | | | |
% 176.66/26.25 | | | | | | | | | | | End of split
% 176.66/26.25 | | | | | | | | | | |
% 176.66/26.25 | | | | | | | | | | Case 2:
% 176.66/26.25 | | | | | | | | | | |
% 176.66/26.25 | | | | | | | | | | | (1940) all_12_17 = e4 | all_12_18 = e4 | all_12_19 = e4 |
% 176.66/26.25 | | | | | | | | | | | all_12_24 = e4
% 176.66/26.25 | | | | | | | | | | |
% 176.66/26.25 | | | | | | | | | | | BETA: splitting (1940) gives:
% 176.66/26.25 | | | | | | | | | | |
% 176.66/26.25 | | | | | | | | | | | Case 1:
% 176.66/26.25 | | | | | | | | | | | |
% 176.66/26.25 | | | | | | | | | | | | (1941) all_12_17 = e4
% 176.66/26.25 | | | | | | | | | | | |
% 176.66/26.25 | | | | | | | | | | | | COMBINE_EQS: (470), (1941) imply:
% 176.66/26.25 | | | | | | | | | | | | (1942) all_4_19 = e4
% 176.66/26.25 | | | | | | | | | | | |
% 176.66/26.25 | | | | | | | | | | | | REDUCE: (1716), (1942) imply:
% 176.66/26.25 | | | | | | | | | | | | (1943) $false
% 176.66/26.25 | | | | | | | | | | | |
% 176.66/26.25 | | | | | | | | | | | | CLOSE: (1943) is inconsistent.
% 176.66/26.25 | | | | | | | | | | | |
% 176.66/26.25 | | | | | | | | | | | Case 2:
% 176.66/26.25 | | | | | | | | | | | |
% 176.66/26.25 | | | | | | | | | | | | (1944) all_12_18 = e4 | all_12_19 = e4 | all_12_24 = e4
% 176.66/26.25 | | | | | | | | | | | |
% 176.66/26.25 | | | | | | | | | | | | BETA: splitting (1944) gives:
% 176.66/26.25 | | | | | | | | | | | |
% 176.66/26.25 | | | | | | | | | | | | Case 1:
% 176.66/26.25 | | | | | | | | | | | | |
% 176.66/26.25 | | | | | | | | | | | | | (1945) all_12_18 = e4
% 176.66/26.25 | | | | | | | | | | | | |
% 176.66/26.25 | | | | | | | | | | | | | COMBINE_EQS: (658), (1945) imply:
% 176.66/26.25 | | | | | | | | | | | | | (1946) all_4_21 = e4
% 176.66/26.25 | | | | | | | | | | | | |
% 176.66/26.25 | | | | | | | | | | | | | REDUCE: (687), (1946) imply:
% 176.66/26.25 | | | | | | | | | | | | | (1947) ~ (all_4_4 = e4)
% 176.66/26.25 | | | | | | | | | | | | |
% 176.66/26.25 | | | | | | | | | | | | | REDUCE: (714), (1946) imply:
% 176.66/26.25 | | | | | | | | | | | | | (1948) ~ (all_4_6 = e4)
% 176.66/26.25 | | | | | | | | | | | | |
% 176.66/26.25 | | | | | | | | | | | | | REDUCE: (736), (1946) imply:
% 176.66/26.25 | | | | | | | | | | | | | (1949) ~ (all_4_8 = e4)
% 176.66/26.25 | | | | | | | | | | | | |
% 176.66/26.25 | | | | | | | | | | | | | REDUCE: (758), (1946) imply:
% 176.66/26.25 | | | | | | | | | | | | | (1950) ~ (all_4_17 = e4)
% 176.66/26.25 | | | | | | | | | | | | |
% 176.66/26.25 | | | | | | | | | | | | | REDUCE: (764), (1946) imply:
% 176.66/26.25 | | | | | | | | | | | | | (1951) ~ (all_4_23 = e4)
% 176.66/26.25 | | | | | | | | | | | | |
% 176.66/26.25 | | | | | | | | | | | | | REDUCE: (789), (1946) imply:
% 176.66/26.25 | | | | | | | | | | | | | (1952) op(e4, e0) = all_10_14
% 176.66/26.25 | | | | | | | | | | | | |
% 176.66/26.25 | | | | | | | | | | | | | REDUCE: (806), (1946) imply:
% 176.66/26.25 | | | | | | | | | | | | | (1953) op(e2, e4) = all_10_39
% 176.66/26.25 | | | | | | | | | | | | |
% 176.66/26.25 | | | | | | | | | | | | | REDUCE: (27), (1946) imply:
% 176.66/26.25 | | | | | | | | | | | | | (1954) op(e2, e0) = e4
% 176.66/26.25 | | | | | | | | | | | | |
% 176.66/26.25 | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_4,
% 176.66/26.25 | | | | | | | | | | | | | all_10_39, e4, e2, simplifying with (31), (1953)
% 176.66/26.25 | | | | | | | | | | | | | gives:
% 176.66/26.25 | | | | | | | | | | | | | (1955) all_10_39 = all_4_4
% 176.66/26.25 | | | | | | | | | | | | |
% 176.66/26.25 | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_17,
% 176.66/26.25 | | | | | | | | | | | | | all_10_14, e0, e4, simplifying with (37), (1952)
% 176.66/26.25 | | | | | | | | | | | | | gives:
% 176.66/26.25 | | | | | | | | | | | | | (1956) all_10_14 = all_4_17
% 176.66/26.25 | | | | | | | | | | | | |
% 176.66/26.25 | | | | | | | | | | | | | BETA: splitting (239) gives:
% 176.66/26.25 | | | | | | | | | | | | |
% 176.66/26.25 | | | | | | | | | | | | | Case 1:
% 176.66/26.25 | | | | | | | | | | | | | |
% 176.66/26.25 | | | | | | | | | | | | | | (1957) all_8_4 = e4
% 176.66/26.25 | | | | | | | | | | | | | |
% 176.66/26.25 | | | | | | | | | | | | | | REF_CLOSE: (603), (1950), (1957) are inconsistent by
% 176.66/26.25 | | | | | | | | | | | | | | sub-proof #787.
% 176.66/26.25 | | | | | | | | | | | | | |
% 176.66/26.25 | | | | | | | | | | | | | Case 2:
% 176.66/26.25 | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | (1958) ~ (all_8_4 = e4)
% 176.66/26.26 | | | | | | | | | | | | | | (1959) all_8_4 = e3 | all_8_4 = e2 | all_8_4 = e1 |
% 176.66/26.26 | | | | | | | | | | | | | | all_8_4 = e0
% 176.66/26.26 | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 176.66/26.26 | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | Case 1:
% 176.66/26.26 | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | (1960) all_8_13 = e4
% 176.66/26.26 | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | REF_CLOSE: (598), (842), (1960) are inconsistent by sub-proof
% 176.66/26.26 | | | | | | | | | | | | | | | #785.
% 176.66/26.26 | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | Case 2:
% 176.66/26.26 | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | (1961) ~ (all_8_13 = e4)
% 176.66/26.26 | | | | | | | | | | | | | | | (1962) all_8_13 = e3 | all_8_13 = e2 | all_8_13 = e1 |
% 176.66/26.26 | | | | | | | | | | | | | | | all_8_13 = e0
% 176.66/26.26 | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 176.66/26.26 | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | Case 1:
% 176.66/26.26 | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | (1963) all_8_10 = e4
% 176.66/26.26 | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | COMBINE_EQS: (568), (1963) imply:
% 176.66/26.26 | | | | | | | | | | | | | | | | (1964) all_4_4 = e4
% 176.66/26.26 | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | REDUCE: (1947), (1964) imply:
% 176.66/26.26 | | | | | | | | | | | | | | | | (1965) $false
% 176.66/26.26 | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | CLOSE: (1965) is inconsistent.
% 176.66/26.26 | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | Case 2:
% 176.66/26.26 | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | (1966) ~ (all_8_10 = e4)
% 176.66/26.26 | | | | | | | | | | | | | | | | (1967) all_8_10 = e3 | all_8_10 = e2 | all_8_10 = e1 |
% 176.66/26.26 | | | | | | | | | | | | | | | | all_8_10 = e0
% 176.66/26.26 | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 176.66/26.26 | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | Case 1:
% 176.66/26.26 | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | (1968) all_8_8 = e4
% 176.66/26.26 | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | REF_CLOSE: (595), (841), (1968) are inconsistent by sub-proof
% 176.66/26.26 | | | | | | | | | | | | | | | | | #563.
% 176.66/26.26 | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | Case 2:
% 176.66/26.26 | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | (1969) ~ (all_8_8 = e4)
% 176.66/26.26 | | | | | | | | | | | | | | | | | (1970) all_8_8 = e3 | all_8_8 = e2 | all_8_8 = e1 |
% 176.66/26.26 | | | | | | | | | | | | | | | | | all_8_8 = e0
% 176.66/26.26 | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 176.66/26.26 | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | Case 1:
% 176.66/26.26 | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | (1971) all_8_11 = e4
% 176.66/26.26 | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | REF_CLOSE: (578), (1948), (1971) are inconsistent by
% 176.66/26.26 | | | | | | | | | | | | | | | | | | sub-proof #562.
% 176.66/26.26 | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | Case 2:
% 176.66/26.26 | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | (1972) ~ (all_8_11 = e4)
% 176.66/26.26 | | | | | | | | | | | | | | | | | | (1973) all_8_11 = e3 | all_8_11 = e2 | all_8_11 = e1 |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | all_8_11 = e0
% 176.66/26.26 | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | BETA: splitting (359) gives:
% 176.66/26.26 | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | Case 1:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | (1974) all_12_20 = e1
% 176.66/26.26 | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (1974) imply:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | (1975) all_4_16 = e1
% 176.66/26.26 | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | SIMP: (1975) implies:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | (1976) all_4_16 = e1
% 176.66/26.26 | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (852), (1976) imply:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | (1977) all_10_48 = e1
% 176.66/26.26 | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | REDUCE: (670), (1976) imply:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | (1978) ~ (all_4_0 = e1)
% 176.66/26.26 | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | REDUCE: (677), (1976) imply:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | (1979) ~ (all_4_1 = e1)
% 176.66/26.26 | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | REDUCE: (683), (1976) imply:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | (1980) ~ (all_4_4 = e1)
% 176.66/26.26 | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | REDUCE: (693), (1976) imply:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | (1981) ~ (all_4_18 = e1)
% 176.66/26.26 | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | SIMP: (1981) implies:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | (1982) ~ (all_4_18 = e1)
% 176.66/26.26 | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | REDUCE: (694), (1976) imply:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | (1983) ~ (all_4_20 = e1)
% 176.66/26.26 | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | SIMP: (1983) implies:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | (1984) ~ (all_4_20 = e1)
% 176.66/26.26 | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | REDUCE: (844), (1976) imply:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | (1985) ~ (e4 = e1)
% 176.66/26.26 | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | REDUCE: (50), (1976) imply:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | (1986) op(e1, all_4_17) = e4
% 176.66/26.26 | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | REDUCE: (49), (1976) imply:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | (1987) op(all_4_17, e1) = e0
% 176.66/26.26 | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | REDUCE: (812), (1976) imply:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | (1988) op(e0, e1) = all_10_45
% 176.66/26.26 | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4,
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | all_10_45, e1, e0, simplifying with (851), (1988)
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | gives:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | (1989) all_10_45 = e4
% 176.66/26.26 | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | BETA: splitting (361) gives:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | Case 1:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | (1990) all_12_20 = e3
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1974), (1990) imply:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | (1991) e3 = e1
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (1991) imply:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | (1992) $false
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | CLOSE: (1992) is inconsistent.
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | Case 2:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | (1993) ~ (all_12_20 = e3)
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | (1994) all_12_21 = e3 | all_12_22 = e3 | all_12_23 = e3 |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | all_12_24 = e3
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | REDUCE: (1974), (1993) imply:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | (1995) ~ (e3 = e1)
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | BETA: splitting (329) gives:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | (1996) all_10_50 = e4
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (508), (1996) imply:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | (1997) all_4_0 = e4
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (1997) imply:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | (1998) all_12_0 = e4
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | REDUCE: (667), (1997) imply:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | (1999) ~ (all_4_1 = e4)
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | SIMP: (1999) implies:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | (2000) ~ (all_4_1 = e4)
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | REDUCE: (671), (1997) imply:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | (2001) ~ (all_4_2 = e4)
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | SIMP: (2001) implies:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | (2002) ~ (all_4_2 = e4)
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | REDUCE: (672), (1997) imply:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | (2003) ~ (all_4_5 = e4)
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | SIMP: (2003) implies:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | (2004) ~ (all_4_5 = e4)
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | REDUCE: (669), (1997) imply:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | (2005) ~ (all_4_9 = e4)
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | SIMP: (2005) implies:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | (2006) ~ (all_4_9 = e4)
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | REDUCE: (673), (1997) imply:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | (2007) ~ (all_4_10 = e4)
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | REDUCE: (767), (1997) imply:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | (2008) op(e4, e4) = all_10_0
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | REDUCE: (792), (1997) imply:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | (2009) op(e4, e4) = all_10_25
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | REDUCE: (41), (1997) imply:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | (2010) op(e4, e4) = e4
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_25,
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | all_10_0, e4, e4, simplifying with (2008), (2009)
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | gives:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | (2011) all_10_0 = all_10_25
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_10_0,
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | e4, e4, simplifying with (2008), (2010) gives:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | (2012) all_10_0 = e4
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2011), (2012) imply:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | (2013) all_10_25 = e4
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | SIMP: (2013) implies:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | (2014) all_10_25 = e4
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | (2015) all_8_15 = e4
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (570), (2006), (2015) are inconsistent by
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | sub-proof #782.
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | (2016) ~ (all_8_15 = e4)
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | (2017) all_8_15 = e3 | all_8_15 = e2 | all_8_15 = e1 |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | all_8_15 = e0
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | (2018) all_8_5 = e4
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (566), (2018) imply:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | (2019) all_4_1 = e4
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2000), (2019) imply:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | (2020) $false
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2020) is inconsistent.
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | (2021) ~ (all_8_5 = e4)
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | (2022) all_8_5 = e3 | all_8_5 = e2 | all_8_5 = e1 |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | all_8_5 = e0
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (327) gives:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | (2023) all_10_51 = e4
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (512), (2023) imply:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | (2024) all_4_1 = e4
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2000), (2024) imply:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | (2025) $false
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2025) is inconsistent.
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | (2026) ~ (all_10_51 = e4)
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | (2027) all_10_56 = e3 | all_10_61 = e2 | all_10_66 = e1 |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | all_10_71 = e0
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (391) gives:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | (2028) all_12_2 = e4
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (2000), (2028) are inconsistent by
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #695.
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | (2029) all_12_3 = e4 | all_12_5 = e4 | all_12_10 = e4 |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | all_12_17 = e4
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (325) gives:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (2030) all_10_53 = e4
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (534), (2006), (2030) are inconsistent by
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #779.
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (2031) all_10_58 = e3 | all_10_63 = e2 | all_10_68 = e1 |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_73 = e0
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2032) all_8_1 = e4
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (574), (2002), (2032) are inconsistent by
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #776.
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2033) all_8_1 = e3 | all_8_1 = e2 | all_8_1 = e1 |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_1 = e0
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2034) all_8_2 = e4
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (2004), (2034) are inconsistent by
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #777.
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2035) all_8_2 = e3 | all_8_2 = e2 | all_8_2 = e1 |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_2 = e0
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (365) gives:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2036) all_12_16 = e3
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (2036) imply:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2037) all_4_17 = e3
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (746), (2037) imply:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2038) ~ (all_4_10 = e3)
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1987), (2037) imply:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2039) op(e3, e1) = e0
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (796), (2037) imply:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2040) op(e4, e3) = all_10_29
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1986), (2037) imply:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2041) op(e1, e3) = e4
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_11, e4,
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (25), (2041) gives:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2042) all_4_11 = e4
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_12, e0,
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (33), (2039) gives:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2043) all_4_12 = e0
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_2,
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_29, e3, e4, simplifying with (40), (2040)
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2044) all_10_29 = all_4_2
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (472), (2043) imply:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2045) all_10_66 = e0
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (2042) imply:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2046) all_10_58 = e4
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (662), (2042) imply:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2047) all_12_13 = e4
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (663), (2043) imply:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2048) all_12_10 = e0
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (680), (2043) imply:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2049) ~ (all_4_1 = e0)
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (705), (2042) imply:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2050) ~ (all_4_3 = e4)
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (731), (2043) imply:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2051) ~ (all_4_7 = e0)
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (742), (2043) imply:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2052) ~ (all_4_10 = e0)
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (747), (2043) imply:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2053) ~ (all_4_14 = e0)
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2053) implies:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2054) ~ (all_4_14 = e0)
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (750), (2043) imply:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2055) ~ (all_4_19 = e0)
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (55), (2042), (2043) imply:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2056) op(e4, e0) = e3
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (800), (2043) imply:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2057) op(e3, e0) = all_10_33
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (808), (2042) imply:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2058) op(e1, e4) = all_10_41
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2029) gives:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2059) all_12_3 = e4
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (482), (2059) imply:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2060) all_4_3 = e4
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2050), (2060) imply:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2061) $false
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2061) is inconsistent.
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2062) all_12_5 = e4 | all_12_10 = e4 | all_12_17 = e4
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2062) gives:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2063) all_12_5 = e4
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (2063) imply:
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2064) all_4_7 = e4
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2064) implies:
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2065) all_4_7 = e4
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (518), (2065) imply:
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2066) all_10_61 = e4
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (729), (2065) imply:
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2067) ~ (all_4_13 = e4)
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2067) implies:
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2068) ~ (all_4_13 = e4)
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (730), (2065) imply:
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2069) ~ (all_4_20 = e4)
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (60), (2065) imply:
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2070) op(all_4_6, e4) = e3
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (59), (2065) imply:
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2071) op(e4, all_4_6) = e2
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (778), (2065) imply:
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2072) op(e4, e2) = all_10_7
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (799), (2065) imply:
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2073) op(e3, e4) = all_10_32
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2027) gives:
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2074) all_10_56 = e3
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (514), (2074) imply:
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2075) all_4_3 = e3
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2075) implies:
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2076) all_4_3 = e3
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (482), (2076) imply:
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2077) all_12_3 = e3
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (678), (2076) imply:
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2078) ~ (all_4_1 = e3)
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (697), (2076) imply:
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2079) ~ (all_4_2 = e3)
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (706), (2076) imply:
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2080) ~ (all_4_18 = e3)
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2080) implies:
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2081) ~ (all_4_18 = e3)
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (773), (2076) imply:
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2082) op(e3, e3) = all_10_6
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (798), (2076) imply:
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2083) op(e3, e3) = all_10_31
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (35), (2076) imply:
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2084) op(e3, e3) = e3
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (859) gives:
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2085) all_8_21 = e3
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (582), (2081), (2085) are inconsistent by
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #676.
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2086) ~ (all_8_21 = e3)
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2087) all_8_21 = e2 | all_8_21 = e1 | all_8_21 = e0
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (388) gives:
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2088) all_12_2 = e1
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (1979), (2088) are inconsistent by
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #561.
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2089) all_12_3 = e1 | all_12_5 = e1 | all_12_10 = e1 |
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_17 = e1
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2089) gives:
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2090) all_12_3 = e1
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2077), (2090) imply:
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2091) e3 = e1
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (2091) imply:
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2092) $false
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2092) is inconsistent.
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2093) all_12_5 = e1 | all_12_10 = e1 | all_12_17 = e1
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2093) gives:
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2094) all_12_5 = e1
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2063), (2094) imply:
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2095) e4 = e1
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2095) implies:
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2096) e4 = e1
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (2096) imply:
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2097) $false
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2097) is inconsistent.
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2098) all_12_10 = e1 | all_12_17 = e1
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2087) gives:
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2099) all_8_21 = e2
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (582), (2099) imply:
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2100) all_4_18 = e2
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2100) implies:
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2101) all_4_18 = e2
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (656), (2101) imply:
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2102) all_12_21 = e2
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (711), (2101) imply:
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2103) ~ (all_4_6 = e2)
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (719), (2101) imply:
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2104) ~ (all_4_20 = e2)
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2104) implies:
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2105) ~ (all_4_20 = e2)
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2081), (2101) imply:
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2106) ~ (e3 = e2)
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (776), (2101) imply:
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2107) op(e2, e3) = all_10_21
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (813), (2101) imply:
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2108) op(e0, e2) = all_10_46
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1994) gives:
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2109) all_12_21 = e3
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.66/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2102), (2109) imply:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2110) e3 = e2
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (2110) imply:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2111) $false
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2111) is inconsistent.
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2112) all_12_22 = e3 | all_12_23 = e3 | all_12_24 = e3
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2112) gives:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2113) all_12_22 = e3
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (655), (2113) imply:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2114) all_4_20 = e3
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2114) implies:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2115) all_4_20 = e3
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (725), (2115) imply:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2116) ~ (all_4_5 = e3)
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (846), (2115) imply:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2117) ~ (e4 = e3)
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (781), (2115) imply:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2118) op(e3, e2) = all_10_22
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (814), (2115) imply:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2119) op(e0, e3) = all_10_47
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2098) gives:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2120) all_12_10 = e1
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2048), (2120) imply:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2121) e1 = e0
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (2121) imply:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2122) $false
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2122) is inconsistent.
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2123) all_12_17 = e1
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (470), (2123) imply:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2124) all_4_19 = e1
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (788), (2124) imply:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2125) op(e1, e0) = all_10_9
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (801), (2124) imply:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2126) op(e3, e1) = all_10_34
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2022) gives:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2127) all_8_5 = e3
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (566), (2078), (2127) are inconsistent by
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #764.
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2128) ~ (all_8_5 = e3)
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2129) all_8_5 = e2 | all_8_5 = e1 | all_8_5 = e0
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2129) gives:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2130) all_8_5 = e2
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (566), (2130) imply:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2131) all_4_1 = e2
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2131) implies:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2132) all_4_1 = e2
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (2132) imply:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2133) all_12_2 = e2
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (675), (2132) imply:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2134) ~ (all_4_4 = e2)
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2134) implies:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2135) ~ (all_4_4 = e2)
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2000), (2132) imply:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2136) ~ (e4 = e2)
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (65), (2132) imply:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2137) op(e2, all_4_2) = e4
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (64), (2132) imply:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2138) op(all_4_2, e2) = e3
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (797), (2132) imply:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2139) op(e3, e2) = all_10_30
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (2132) imply:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2140) op(e3, e4) = e2
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (364) gives:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2141) all_12_16 = e2
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2036), (2141) imply:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2142) e3 = e2
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (2142) imply:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2143) $false
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2143) is inconsistent.
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2144) all_12_17 = e2 | all_12_18 = e2 | all_12_19 = e2 |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_24 = e2
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2144) gives:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2145) all_12_17 = e2
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2123), (2145) imply:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2146) e2 = e1
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2146) implies:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2147) e2 = e1
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (2147) imply:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2148) $false
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2148) is inconsistent.
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2149) all_12_18 = e2 | all_12_19 = e2 | all_12_24 = e2
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2149) gives:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2150) all_12_18 = e2
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1945), (2150) imply:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2151) e4 = e2
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13), (2151) imply:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2152) $false
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2152) is inconsistent.
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2153) all_12_19 = e2 | all_12_24 = e2
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2153) gives:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2154) all_12_19 = e2
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (430), (2154) imply:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2155) all_4_23 = e2
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (654), (2155) imply:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2156) all_10_73 = e2
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (739), (2155) imply:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2157) ~ (all_4_13 = e2)
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (790), (2155) imply:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2158) op(e2, e0) = all_10_19
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (811), (2155) imply:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2159) op(e1, e2) = all_10_44
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2031) gives:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2160) all_10_58 = e3
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2046), (2160) imply:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2161) e4 = e3
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (2161) imply:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2162) $false
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2162) is inconsistent.
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2163) all_10_63 = e2 | all_10_68 = e1 | all_10_73 = e0
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2163) gives:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2164) all_10_63 = e2
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (435), (2157), (2164) are inconsistent by
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #560.
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2165) all_10_68 = e1 | all_10_73 = e0
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2165) gives:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2166) all_10_68 = e1
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (2166) imply:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2167) all_4_15 = e1
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2167) implies:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2168) all_4_15 = e1
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (691), (2168) imply:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2169) ~ (all_4_9 = e1)
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (2168) imply:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2170) ~ (all_4_10 = e1)
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (738), (2168) imply:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2171) ~ (all_4_13 = e1)
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (751), (2168) imply:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2172) ~ (all_4_14 = e1)
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (785), (2168) imply:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2173) op(e1, e1) = all_10_18
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (810), (2168) imply:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2174) op(e1, e1) = all_10_43
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23), (2168) imply:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2175) op(e1, e1) = e1
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (875) gives:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2176) all_8_3 = e3
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (594), (2038), (2176) are inconsistent by
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #735.
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2177) all_8_3 = e2 | all_8_3 = e1 | all_8_3 = e0
% 176.73/26.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2177) gives:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2178) all_8_3 = e2
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (594), (2178) imply:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2179) all_4_10 = e2
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2179) implies:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2180) all_4_10 = e2
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (702), (2180) imply:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2181) ~ (all_4_2 = e2)
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (726), (2180) imply:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2182) ~ (all_4_5 = e2)
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (2180) imply:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2183) ~ (all_4_14 = e2)
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2183) implies:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2184) ~ (all_4_14 = e2)
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (2180) imply:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2185) op(all_4_9, e2) = e4
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (56), (2180) imply:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2186) op(e2, all_4_9) = e1
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (782), (2180) imply:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2187) op(e2, e1) = all_10_3
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (795), (2180) imply:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2188) op(e4, e2) = all_10_28
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (384) gives:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2189) all_12_4 = e2
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (2189) imply:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2190) all_4_5 = e2
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2182), (2190) imply:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2191) $false
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2191) is inconsistent.
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2192) all_12_5 = e2 | all_12_8 = e2 | all_12_14 = e2 |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_22 = e2
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2192) gives:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2193) all_12_5 = e2
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2063), (2193) imply:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2194) e4 = e2
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2194) implies:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2195) e4 = e2
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13), (2195) imply:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2196) $false
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2196) is inconsistent.
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2197) ~ (all_12_5 = e2)
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2198) all_12_8 = e2 | all_12_14 = e2 | all_12_22 = e2
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2198) gives:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2199) all_12_8 = e2
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (664), (2199) imply:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2200) all_4_8 = e2
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (733), (2200) imply:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2201) ~ (all_4_13 = e2)
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (779), (2200) imply:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2202) op(e2, e2) = all_10_12
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (804), (2200) imply:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2203) op(e2, e2) = all_10_37
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (29), (2200) imply:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2204) op(e2, e2) = e2
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (370) gives:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2205) all_12_12 = e3
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (2205) imply:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2206) all_4_9 = e3
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2206) implies:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2207) all_4_9 = e3
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (682), (2207) imply:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2208) ~ (all_4_4 = e3)
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (690), (2207) imply:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2209) ~ (all_4_13 = e3)
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2209) implies:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2210) ~ (all_4_13 = e3)
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (770), (2207) imply:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2211) op(e3, e4) = all_10_15
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2185), (2207) imply:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2212) op(e3, e2) = e4
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (807), (2207) imply:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2213) op(e1, e3) = all_10_40
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (378) gives:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2214) all_12_6 = e1
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (665), (1980), (2214) are inconsistent by
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #769.
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2215) ~ (all_12_6 = e1)
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2216) all_12_7 = e1 | all_12_8 = e1 | all_12_11 = e1 |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_18 = e1
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (367) gives:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2217) all_12_12 = e0
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2205), (2217) are inconsistent by sub-proof
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #669.
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2218) all_12_13 = e0 | all_12_14 = e0 | all_12_15 = e0 |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_19 = e0
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2218) gives:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2219) all_12_13 = e0
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (2047), (2219) are inconsistent by sub-proof
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #559.
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2220) ~ (all_12_13 = e0)
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2221) all_12_14 = e0 | all_12_15 = e0 | all_12_19 = e0
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2222) all_8_17 = e4
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (590), (2222) imply:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2223) all_4_13 = e4
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2068), (2223) imply:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2224) $false
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2224) is inconsistent.
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2225) all_8_17 = e3 | all_8_17 = e2 | all_8_17 = e1 |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_17 = e0
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (383) gives:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2226) all_12_4 = e1
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (2226) imply:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2227) all_4_5 = e1
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (701), (2227) imply:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2228) ~ (all_4_2 = e1)
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (724), (2227) imply:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2229) ~ (all_4_13 = e1)
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (61), (2227) imply:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2230) op(e1, all_4_4) = e2
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (777), (2227) imply:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2231) op(e1, e2) = all_10_2
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (794), (2227) imply:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2232) op(e4, e1) = all_10_27
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (2227) imply:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2233) op(e4, e2) = e1
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (398) gives:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2234) all_12_0 = e0
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1998), (2234) imply:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2235) e4 = e0
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (2235) imply:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2236) $false
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2236) is inconsistent.
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2237) all_12_1 = e0 | all_12_4 = e0 | all_12_9 = e0 |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_16 = e0
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2237) gives:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2238) all_12_1 = e0
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (2238) imply:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2239) all_4_2 = e0
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2044), (2239) imply:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2240) all_10_29 = e0
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (772), (2239) imply:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2241) op(e0, e3) = all_10_1
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2138), (2239) imply:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2242) op(e0, e2) = e3
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (793), (2239) imply:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2243) op(e4, e0) = all_10_26
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (377) gives:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2244) all_12_6 = e0
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (2244) imply:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2245) all_4_4 = e0
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2245) implies:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2246) all_4_4 = e0
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1955), (2246) imply:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2247) all_10_39 = e0
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (2246) imply:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2248) ~ (all_4_6 = e0)
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2248) implies:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2249) ~ (all_4_6 = e0)
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (802), (2246) imply:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2250) op(e2, e0) = all_10_35
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2230), (2246) imply:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2251) op(e1, e0) = e2
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1962) gives:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2252) all_8_13 = e3
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (598), (2252) imply:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2253) all_4_14 = e3
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2253) implies:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2254) all_4_14 = e3
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (713), (2254) imply:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2255) ~ (all_4_6 = e3)
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (53), (2254) imply:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2256) op(all_4_13, e3) = e2
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (52), (2254) imply:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2257) op(e3, all_4_13) = e1
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (784), (2254) imply:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2258) op(e3, e1) = all_10_13
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (805), (2254) imply:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2259) op(e2, e3) = all_10_38
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (28), (2254) imply:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2260) op(e2, e1) = e3
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2221) gives:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2261) all_12_14 = e0
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (661), (2261) imply:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2262) all_4_13 = e0
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2262) implies:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2263) all_4_13 = e0
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2256), (2263) imply:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2264) op(e0, e3) = e2
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (780), (2263) imply:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2265) op(e0, e2) = all_10_17
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2257), (2263) imply:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2266) op(e3, e0) = e1
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (809), (2263) imply:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2267) op(e1, e0) = all_10_42
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (24), (2263) imply:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2268) op(e1, e2) = e0
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1973) gives:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2269) all_8_11 = e3
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (578), (2255), (2269) are inconsistent by
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #558.
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2270) all_8_11 = e2 | all_8_11 = e1 | all_8_11 = e0
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2216) gives:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2271) all_12_7 = e1
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (462), (2271) imply:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2272) all_4_6 = e1
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2070), (2272) imply:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2273) op(e1, e4) = e3
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (774), (2272) imply:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2274) op(e1, e3) = all_10_11
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2071), (2272) imply:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2275) op(e4, e1) = e2
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (803), (2272) imply:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2276) op(e2, e1) = all_10_36
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (30), (2272) imply:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2277) op(e2, e3) = e1
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_46,
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_17, e2, e0, simplifying with (2108), (2265)
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2278) all_10_17 = all_10_46
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_17, e2, e0, simplifying with (2242), (2265)
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2279) all_10_17 = e3
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_47,
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_1, e3, e0, simplifying with (2119), (2241)
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2280) all_10_1 = all_10_47
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_10_1,
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (2241), (2264) gives:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2281) all_10_1 = e2
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_42,
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_9, e0, e1, simplifying with (2125), (2267)
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2282) all_10_9 = all_10_42
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_10_9,
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e1, simplifying with (2125), (2251) gives:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2283) all_10_9 = e2
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_43,
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_18, e1, e1, simplifying with (2173), (2174)
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2284) all_10_18 = all_10_43
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_18, e1, e1, simplifying with (2173), (2175)
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2285) all_10_18 = e1
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_44,
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_2, e2, e1, simplifying with (2159), (2231)
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2286) all_10_2 = all_10_44
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_10_2,
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (2231), (2268) gives:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2287) all_10_2 = e0
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4,
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_11, e3, e1, simplifying with (2041), (2274)
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2288) all_10_11 = e4
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_40,
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_11, e3, e1, simplifying with (2213), (2274)
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2289) all_10_11 = all_10_40
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_41, e4, e1, simplifying with (2058), (2273)
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2290) all_10_41 = e3
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4,
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_19, e0, e2, simplifying with (1954), (2158)
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2291) all_10_19 = e4
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_35,
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_19, e0, e2, simplifying with (2158), (2250)
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2292) all_10_19 = all_10_35
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_36,
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_3, e1, e2, simplifying with (2187), (2276)
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2293) all_10_3 = all_10_36
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_10_3,
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (2187), (2260) gives:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2294) all_10_3 = e3
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_37,
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_12, e2, e2, simplifying with (2202), (2203)
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2295) all_10_12 = all_10_37
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_12, e2, e2, simplifying with (2202), (2204)
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2296) all_10_12 = e2
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_38,
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_21, e3, e2, simplifying with (2107), (2259)
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2297) all_10_21 = all_10_38
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_21, e3, e2, simplifying with (2107), (2277)
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2298) all_10_21 = e1
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_33, e0, e3, simplifying with (2057), (2266)
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2299) all_10_33 = e1
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_13, e1, e3, simplifying with (2039), (2258)
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2300) all_10_13 = e0
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_34,
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_13, e1, e3, simplifying with (2126), (2258)
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2301) all_10_13 = all_10_34
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_30,
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_22, e2, e3, simplifying with (2118), (2139)
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2302) all_10_22 = all_10_30
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4,
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_22, e2, e3, simplifying with (2118), (2212)
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2303) all_10_22 = e4
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_31,
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_6, e3, e3, simplifying with (2082), (2083)
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2304) all_10_6 = all_10_31
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_10_6,
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (2082), (2084) gives:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2305) all_10_6 = e3
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_32,
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_15, e4, e3, simplifying with (2073), (2211)
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2306) all_10_15 = all_10_32
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_15, e4, e3, simplifying with (2140), (2211)
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2307) all_10_15 = e2
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_26, e0, e4, simplifying with (2056), (2243)
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2308) all_10_26 = e3
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_27, e1, e4, simplifying with (2232), (2275)
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2309) all_10_27 = e2
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_28,
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_7, e2, e4, simplifying with (2072), (2188)
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2310) all_10_7 = all_10_28
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_10_7,
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e4, simplifying with (2072), (2233) gives:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2311) all_10_7 = e1
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2280), (2281) imply:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2312) all_10_47 = e2
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2312) implies:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2313) all_10_47 = e2
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2286), (2287) imply:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2314) all_10_44 = e0
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2314) implies:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2315) all_10_44 = e0
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2293), (2294) imply:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2316) all_10_36 = e3
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2304), (2305) imply:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2317) all_10_31 = e3
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2317) implies:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2318) all_10_31 = e3
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2310), (2311) imply:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2319) all_10_28 = e1
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2319) implies:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2320) all_10_28 = e1
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2282), (2283) imply:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2321) all_10_42 = e2
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2321) implies:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2322) all_10_42 = e2
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2288), (2289) imply:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2323) all_10_40 = e4
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2323) implies:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2324) all_10_40 = e4
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2295), (2296) imply:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2325) all_10_37 = e2
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2325) implies:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2326) all_10_37 = e2
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2300), (2301) imply:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2327) all_10_34 = e0
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2327) implies:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2328) all_10_34 = e0
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2306), (2307) imply:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2329) all_10_32 = e2
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2278), (2279) imply:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2330) all_10_46 = e3
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2330) implies:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2331) all_10_46 = e3
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2284), (2285) imply:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2332) all_10_43 = e1
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2332) implies:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2333) all_10_43 = e1
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2291), (2292) imply:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2334) all_10_35 = e4
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2297), (2298) imply:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2335) all_10_38 = e1
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2335) implies:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2336) all_10_38 = e1
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2302), (2303) imply:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2337) all_10_30 = e4
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (330), (834), (1977), (1989), (2014), (2240),
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2247), (2290), (2299), (2308), (2309), (2313),
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2315), (2316), (2318), (2320), (2322), (2324),
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2326), (2328), (2329), (2331), (2333), (2334),
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2336), (2337) are inconsistent by sub-proof #758.
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2338) ~ (all_12_7 = e1)
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (462), (2338) imply:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2339) ~ (all_4_6 = e1)
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (578), (2103), (2249), (2270), (2339) are
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #555.
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2340) ~ (all_12_14 = e0)
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (661), (2340) imply:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2341) ~ (all_4_13 = e0)
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (29), (367), (446), (568), (570), (590),
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (682), (690), (1967), (1980), (2017), (2135),
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2157), (2169), (2171), (2185), (2186), (2208),
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2225), (2341), (function-axioms) are inconsistent
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #546.
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2342) all_8_13 = e2 | all_8_13 = e1 | all_8_13 = e0
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (598), (2054), (2172), (2184), (2342) are
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #544.
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2343) ~ (all_12_6 = e0)
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (665), (2343) imply:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2344) ~ (all_4_4 = e0)
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (568), (1967), (1980), (2135), (2208), (2344) are
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #554.
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2345) ~ (all_12_1 = e0)
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (666), (2345) imply:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2346) ~ (all_4_2 = e0)
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (574), (2033), (2079), (2181), (2228), (2346) are
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #542.
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2347) ~ (all_12_4 = e1)
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (498), (2347) imply:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2348) ~ (all_4_5 = e1)
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (590), (661), (724), (2035), (2116),
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2157), (2171), (2182), (2210), (2221), (2225),
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2348) are inconsistent by sub-proof #539.
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2349) ~ (all_12_12 = e3)
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (446), (2349) imply:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2350) ~ (all_4_9 = e3)
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1962) gives:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2351) all_8_13 = e3
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (598), (2351) imply:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2352) all_4_14 = e3
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2352) implies:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2353) all_4_14 = e3
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (2353) imply:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2354) ~ (all_4_4 = e3)
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (403) gives:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2355) all_12_0 = e3
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1998), (2355) imply:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2356) e4 = e3
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (2356) imply:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2357) $false
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2357) is inconsistent.
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2358) all_12_2 = e3 | all_12_6 = e3 | all_12_12 = e3 |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_20 = e3
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2358) gives:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2359) all_12_2 = e3
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2133), (2359) imply:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2360) e3 = e2
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (2360) imply:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2361) $false
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2361) is inconsistent.
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2362) all_12_6 = e3 | all_12_12 = e3 | all_12_20 = e3
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2362) gives:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2363) all_12_6 = e3
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (665), (2354), (2363) are inconsistent by
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #538.
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2364) all_12_12 = e3 | all_12_20 = e3
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2364) gives:
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2365) all_12_12 = e3
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (2350), (2365) are inconsistent by
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #650.
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2366) all_12_20 = e3
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1974), (2366) are inconsistent by sub-proof
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #537.
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2367) all_8_13 = e2 | all_8_13 = e1 | all_8_13 = e0
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (598), (2054), (2172), (2184), (2367) are
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #544.
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2368) ~ (all_12_8 = e2)
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (664), (2368) imply:
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2369) ~ (all_4_8 = e2)
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (379) gives:
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2370) all_12_6 = e2
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (665), (2135), (2370) are inconsistent by
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #536.
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2371) all_12_7 = e2 | all_12_8 = e2 | all_12_11 = e2 |
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_18 = e2
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2371) gives:
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2372) all_12_7 = e2
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (462), (2372) imply:
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2373) all_4_6 = e2
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2103), (2373) imply:
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2374) $false
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2374) is inconsistent.
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2375) all_12_8 = e2 | all_12_11 = e2 | all_12_18 = e2
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (454), (664), (1945), (2184), (2369), (2375)
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #534.
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2376) all_8_3 = e1 | all_8_3 = e0
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (594), (2052), (2170), (2376) are inconsistent by
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #741.
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2377) all_10_73 = e0
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2156), (2377) imply:
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2378) e2 = e0
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2378) implies:
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2379) e2 = e0
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (2379) imply:
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2380) $false
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2380) is inconsistent.
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2381) all_12_24 = e2
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (817), (2381) imply:
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2382) e2 = e0
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (2382) imply:
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2383) $false
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2383) is inconsistent.
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2384) all_8_5 = e1 | all_8_5 = e0
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (566), (1979), (2049), (2384) are inconsistent by
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #658.
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2385) ~ (all_12_22 = e3)
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (655), (2385) imply:
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2386) ~ (all_4_20 = e3)
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (864) gives:
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2387) all_8_22 = e3
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (592), (2387) imply:
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2388) all_4_20 = e3
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2386), (2388) imply:
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2389) $false
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2389) is inconsistent.
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2390) all_8_22 = e2 | all_8_22 = e1 | all_8_22 = e0
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (592), (824), (1984), (2105), (2390) are
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #714.
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2391) all_8_21 = e1 | all_8_21 = e0
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (582), (822), (1982), (2391) are inconsistent by
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #715.
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2392) all_10_61 = e2 | all_10_66 = e1 | all_10_71 = e0
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2392) gives:
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2393) all_10_61 = e2
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (2066), (2393) are inconsistent by sub-proof
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #533.
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2394) all_10_66 = e1 | all_10_71 = e0
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2394) gives:
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2395) all_10_66 = e1
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2045), (2395) imply:
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2396) e1 = e0
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (2396) imply:
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2397) $false
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2397) is inconsistent.
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2398) all_10_71 = e0
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (547), (823), (2398) are inconsistent by sub-proof
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #723.
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2399) all_12_10 = e4 | all_12_17 = e4
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (470), (663), (841), (1716), (2399) are
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #627.
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2400) ~ (all_12_16 = e3)
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (659), (2400) imply:
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2401) ~ (all_4_17 = e3)
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (363) gives:
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2402) all_12_16 = e1
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (2402) imply:
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2403) all_4_17 = e1
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1986), (2403) imply:
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2404) op(e1, e1) = e4
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (843), (2404), (function-axioms) are
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #705.
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2405) ~ (all_12_16 = e1)
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (659), (2405) imply:
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2406) ~ (all_4_17 = e1)
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1959) gives:
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2407) all_8_4 = e3
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (603), (2401), (2407) are inconsistent by
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #711.
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2408) all_8_4 = e2 | all_8_4 = e1 | all_8_4 = e0
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2408) gives:
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2409) all_8_4 = e2
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (603), (2409) imply:
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2410) all_4_17 = e2
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2410) implies:
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2411) all_4_17 = e2
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1986), (2411) imply:
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2412) op(e1, e2) = e4
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_13, e4,
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (24), (2412) gives:
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2413) all_4_13 = e4
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (729), (2413) imply:
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2414) ~ (all_4_7 = e4)
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (63), (470), (478), (482), (663), (841),
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1716), (2010), (2029), (2414), (function-axioms)
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #532.
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2415) all_8_4 = e1 | all_8_4 = e0
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (603), (821), (2406), (2415) are inconsistent by
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #638.
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | (2416) ~ (all_10_50 = e4)
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | REDUCE: (508), (2416) imply:
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | (2417) ~ (all_4_0 = e4)
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | (2418) all_8_0 = e4
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (564), (2417), (2418) are inconsistent by
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | sub-proof #706.
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | (2419) ~ (all_8_0 = e4)
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | (2420) all_8_0 = e3 | all_8_0 = e2 | all_8_0 = e1 |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | all_8_0 = e0
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (405) gives:
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | (2421) all_12_0 = e4
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (2421) imply:
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | (2422) all_4_0 = e4
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2417), (2422) imply:
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | (2423) $false
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2423) is inconsistent.
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | (2424) all_12_2 = e4 | all_12_6 = e4 | all_12_12 = e4 |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | all_12_20 = e4
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | (2425) all_8_5 = e4
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (566), (2425) imply:
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | (2426) all_4_1 = e4
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (29), (35), (66), (399), (401), (404),
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | (446), (486), (506), (564), (657), (665), (667),
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | (675), (676), (678), (830), (843), (844), (1949),
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | (2420), (2424), (2426), (function-axioms) are
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #529.
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | (2427) ~ (all_8_5 = e4)
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (566), (2427) imply:
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | (2428) ~ (all_4_1 = e4)
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (23), (24), (25), (365), (446), (486),
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | (603), (659), (665), (689), (690), (691), (821),
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | (1947), (1959), (1974), (1986), (2424), (2428),
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | | #690.
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.34 | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.34 | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | (2429) ~ (all_12_20 = e1)
% 176.73/26.34 | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | REDUCE: (657), (2429) imply:
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | (2430) ~ (all_4_16 = e1)
% 176.73/26.34 | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | BETA: splitting (361) gives:
% 176.73/26.34 | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | (2431) all_12_20 = e3
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (2431) imply:
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | (2432) all_4_16 = e3
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | SIMP: (2432) implies:
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | (2433) all_4_16 = e3
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (424), (2433) imply:
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | (2434) all_10_54 = e3
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | REDUCE: (677), (2433) imply:
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | (2435) ~ (all_4_1 = e3)
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | REDUCE: (683), (2433) imply:
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | (2436) ~ (all_4_4 = e3)
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | REDUCE: (694), (2433) imply:
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | (2437) ~ (all_4_20 = e3)
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | SIMP: (2437) implies:
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | (2438) ~ (all_4_20 = e3)
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | REDUCE: (844), (2433) imply:
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | (2439) ~ (e4 = e3)
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | REDUCE: (50), (2433) imply:
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | (2440) op(e3, all_4_17) = e4
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | REDUCE: (771), (2433) imply:
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | (2441) op(e3, e4) = all_10_20
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.34 | | | | | | | | | | | | | | | | | | | | REDUCE: (49), (2433) imply:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | (2442) op(all_4_17, e3) = e0
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_1,
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | all_10_20, e4, e3, simplifying with (36), (2441)
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | (2443) all_10_20 = all_4_1
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | BETA: splitting (329) gives:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | (2444) all_10_50 = e4
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (508), (2444) imply:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | (2445) all_4_0 = e4
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | SIMP: (2445) implies:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | (2446) all_4_0 = e4
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (2446) imply:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | (2447) all_12_0 = e4
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | REDUCE: (667), (2446) imply:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | (2448) ~ (all_4_1 = e4)
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | SIMP: (2448) implies:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | (2449) ~ (all_4_1 = e4)
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | REDUCE: (671), (2446) imply:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | (2450) ~ (all_4_2 = e4)
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | SIMP: (2450) implies:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | (2451) ~ (all_4_2 = e4)
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | REDUCE: (672), (2446) imply:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | (2452) ~ (all_4_5 = e4)
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | SIMP: (2452) implies:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | (2453) ~ (all_4_5 = e4)
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | REDUCE: (669), (2446) imply:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | (2454) ~ (all_4_9 = e4)
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | SIMP: (2454) implies:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | (2455) ~ (all_4_9 = e4)
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | REDUCE: (674), (2446) imply:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | (2456) ~ (all_4_17 = e4)
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | REDUCE: (767), (2446) imply:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | (2457) op(e4, e4) = all_10_0
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | REDUCE: (792), (2446) imply:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | (2458) op(e4, e4) = all_10_25
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | REDUCE: (41), (2446) imply:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | (2459) op(e4, e4) = e4
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_25,
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | all_10_0, e4, e4, simplifying with (2457), (2458)
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | (2460) all_10_0 = all_10_25
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_10_0,
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | e4, e4, simplifying with (2457), (2459) gives:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | (2461) all_10_0 = e4
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2460), (2461) imply:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | (2462) all_10_25 = e4
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | SIMP: (2462) implies:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | (2463) all_10_25 = e4
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | (2464) all_8_5 = e4
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (566), (2464) imply:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | (2465) all_4_1 = e4
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2449), (2465) imply:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | (2466) $false
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2466) is inconsistent.
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | (2467) all_8_5 = e3 | all_8_5 = e2 | all_8_5 = e1 |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | all_8_5 = e0
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (323) gives:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | (2468) all_10_55 = e4
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (500), (2468) imply:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | (2469) all_4_2 = e4
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2451), (2469) imply:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | (2470) $false
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2470) is inconsistent.
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | (2471) ~ (all_10_55 = e4)
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | (2472) all_10_56 = e3 | all_10_57 = e2 | all_10_58 = e1 |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | all_10_59 = e0
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (371) gives:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | (2473) all_12_12 = e4
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (2455), (2473) are inconsistent by
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #613.
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | (2474) all_12_13 = e4 | all_12_14 = e4 | all_12_15 = e4 |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | all_12_19 = e4
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (322) gives:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | (2475) all_10_60 = e4
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (516), (2453), (2475) are inconsistent by
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #685.
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | (2476) ~ (all_10_60 = e4)
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | (2477) all_10_61 = e3 | all_10_62 = e2 | all_10_63 = e1 |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | all_10_64 = e0
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (2478) all_8_1 = e4
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (574), (2451), (2478) are inconsistent by
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #776.
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (2479) all_8_1 = e3 | all_8_1 = e2 | all_8_1 = e1 |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_1 = e0
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2480) all_8_2 = e4
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (2453), (2480) are inconsistent by
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #777.
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2481) all_8_2 = e3 | all_8_2 = e2 | all_8_2 = e1 |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_2 = e0
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (365) gives:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2482) all_12_16 = e3
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (2482) imply:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2483) all_4_17 = e3
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2483) implies:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2484) all_4_17 = e3
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2442), (2484) imply:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2485) op(e3, e3) = e0
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2440), (2484) imply:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2486) op(e3, e3) = e4
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (35), (2485), (2486), (function-axioms) are
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #528.
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2487) ~ (all_12_16 = e3)
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2488) all_12_17 = e3 | all_12_18 = e3 | all_12_19 = e3 |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_24 = e3
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (659), (2487) imply:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2489) ~ (all_4_17 = e3)
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (364) gives:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2490) all_12_16 = e2
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (2490) imply:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2491) all_4_17 = e2
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2491) implies:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2492) all_4_17 = e2
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1956), (2492) imply:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2493) all_10_14 = e2
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (703), (2492) imply:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2494) ~ (all_4_2 = e2)
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (757), (2492) imply:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2495) ~ (all_4_19 = e2)
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2495) implies:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2496) ~ (all_4_19 = e2)
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (759), (2492) imply:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2497) ~ (all_4_23 = e2)
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2497) implies:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2498) ~ (all_4_23 = e2)
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1950), (2492) imply:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2499) ~ (e4 = e2)
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2442), (2492) imply:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2500) op(e2, e3) = e0
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (787), (2492) imply:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2501) op(e2, e0) = all_10_4
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2440), (2492) imply:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2502) op(e3, e2) = e4
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_10_4,
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e2, simplifying with (1954), (2501) gives:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2503) all_10_4 = e4
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_6, e0,
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (30), (2500) gives:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2504) all_4_6 = e0
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_7, e4,
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (34), (2502) gives:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2505) all_4_7 = e4
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (518), (2505) imply:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2506) all_10_61 = e4
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (523), (2504) imply:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2507) all_10_57 = e0
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (462), (2504) imply:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2508) all_12_7 = e0
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (698), (2504) imply:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2509) ~ (all_4_2 = e0)
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (704), (2504) imply:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2510) ~ (all_4_3 = e0)
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (2504) imply:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2511) ~ (all_4_4 = e0)
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (712), (2504) imply:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2512) ~ (all_4_8 = e0)
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2512) implies:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2513) ~ (all_4_8 = e0)
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (710), (2504) imply:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2514) ~ (all_4_11 = e0)
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2514) implies:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2515) ~ (all_4_11 = e0)
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (713), (2504) imply:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2516) ~ (all_4_14 = e0)
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2516) implies:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2517) ~ (all_4_14 = e0)
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (711), (2504) imply:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2518) ~ (all_4_18 = e0)
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (728), (2505) imply:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2519) ~ (all_4_8 = e4)
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (729), (2505) imply:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2520) ~ (all_4_13 = e4)
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2520) implies:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2521) ~ (all_4_13 = e4)
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (732), (2505) imply:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2522) ~ (all_4_19 = e4)
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (60), (2504), (2505) imply:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2523) op(e0, e4) = e3
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (774), (2504) imply:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2524) op(e0, e3) = all_10_11
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (778), (2505) imply:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2525) op(e4, e2) = all_10_7
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2474) gives:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2526) all_12_13 = e4
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (662), (2526) imply:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2527) all_4_11 = e4
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2527) implies:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2528) all_4_11 = e4
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (2528) imply:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2529) all_10_58 = e4
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (705), (2528) imply:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2530) ~ (all_4_3 = e4)
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (55), (2528) imply:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2531) op(e4, all_4_12) = e3
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (775), (2528) imply:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2532) op(e4, e3) = all_10_16
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (54), (2528) imply:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2533) op(all_4_12, e4) = e1
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2472) gives:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2534) all_10_56 = e3
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (514), (2534) imply:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2535) all_4_3 = e3
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (482), (2535) imply:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2536) all_12_3 = e3
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (697), (2535) imply:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2537) ~ (all_4_2 = e3)
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (708), (2535) imply:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2538) ~ (all_4_12 = e3)
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2538) implies:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2539) ~ (all_4_12 = e3)
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (706), (2535) imply:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2540) ~ (all_4_18 = e3)
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2540) implies:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2541) ~ (all_4_18 = e3)
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (709), (2535) imply:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2542) ~ (all_4_19 = e3)
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2542) implies:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2543) ~ (all_4_19 = e3)
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (773), (2535) imply:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2544) op(e3, e3) = all_10_6
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (35), (2535) imply:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2545) op(e3, e3) = e3
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (394) gives:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2546) all_12_1 = e2
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (2546) imply:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2547) all_4_2 = e2
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2494), (2547) imply:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2548) $false
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2548) is inconsistent.
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2549) ~ (all_12_1 = e2)
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2550) all_12_3 = e2 | all_12_7 = e2 | all_12_13 = e2 |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_21 = e2
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2479) gives:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2551) all_8_1 = e3
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (574), (2537), (2551) are inconsistent by
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #747.
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2552) all_8_1 = e2 | all_8_1 = e1 | all_8_1 = e0
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2552) gives:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2553) all_8_1 = e2
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (574), (2494), (2553) are inconsistent by
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #746.
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2554) all_8_1 = e1 | all_8_1 = e0
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2488) gives:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2555) all_12_17 = e3
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (470), (2555) imply:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2556) all_4_19 = e3
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2543), (2556) imply:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2557) $false
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2557) is inconsistent.
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2558) all_12_18 = e3 | all_12_19 = e3 | all_12_24 = e3
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2558) gives:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2559) all_12_18 = e3
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (1945), (2559) are inconsistent by sub-proof
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #527.
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2560) all_12_19 = e3 | all_12_24 = e3
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2560) gives:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2561) all_12_19 = e3
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (430), (2561) imply:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2562) all_4_23 = e3
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2562) implies:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2563) all_4_23 = e3
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (739), (2563) imply:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2564) ~ (all_4_13 = e3)
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (790), (2563) imply:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2565) op(e3, e0) = all_10_19
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1715) gives:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2566) all_8_9 = e3
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (606), (2543), (2566) are inconsistent by
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #526.
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2567) all_8_9 = e2 | all_8_9 = e1 | all_8_9 = e0
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2567) gives:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2568) all_8_9 = e2
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (606), (2496), (2568) are inconsistent by
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #525.
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2569) all_8_9 = e1 | all_8_9 = e0
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (363) gives:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2570) all_12_16 = e1
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2490), (2570) imply:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2571) e2 = e1
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (2571) imply:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2572) $false
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2572) is inconsistent.
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2573) all_12_17 = e1 | all_12_18 = e1 | all_12_19 = e1 |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_24 = e1
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2554) gives:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2574) all_8_1 = e1
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (574), (2574) imply:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2575) all_4_2 = e1
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2575) implies:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2576) all_4_2 = e1
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (2576) imply:
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2577) all_12_1 = e1
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (65), (2576) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2578) op(all_4_1, e1) = e4
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (64), (2576) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2579) op(e1, all_4_1) = e3
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (772), (2576) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2580) op(e1, e3) = all_10_1
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (40), (2576) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2581) op(e4, e3) = e1
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2550) gives:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2582) all_12_3 = e2
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2536), (2582) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2583) e3 = e2
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (2583) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2584) $false
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2584) is inconsistent.
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2585) all_12_7 = e2 | all_12_13 = e2 | all_12_21 = e2
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2573) gives:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2586) all_12_17 = e1
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (470), (2586) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2587) all_4_19 = e1
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (788), (2587) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2588) op(e1, e0) = all_10_9
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2585) gives:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2589) all_12_7 = e2
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2508), (2589) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2590) e2 = e0
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2590) implies:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2591) e2 = e0
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (2591) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2592) $false
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2592) is inconsistent.
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2593) all_12_13 = e2 | all_12_21 = e2
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2593) gives:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2594) all_12_13 = e2
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (2526), (2594) are inconsistent by sub-proof
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #524.
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2595) all_12_21 = e2
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (656), (2595) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2596) all_4_18 = e2
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2596) implies:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2597) all_4_18 = e2
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (719), (2597) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2598) ~ (all_4_20 = e2)
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2598) implies:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2599) ~ (all_4_20 = e2)
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2541), (2597) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2600) ~ (e3 = e2)
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (776), (2597) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2601) op(e2, e3) = all_10_21
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (864) gives:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2602) all_8_22 = e3
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (592), (2602) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2603) all_4_20 = e3
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2438), (2603) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2604) $false
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2604) is inconsistent.
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2605) all_8_22 = e2 | all_8_22 = e1 | all_8_22 = e0
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2605) gives:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2606) all_8_22 = e2
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (592), (2606) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2607) all_4_20 = e2
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2599), (2607) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2608) $false
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2608) is inconsistent.
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2609) all_8_22 = e1 | all_8_22 = e0
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2609) gives:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2610) all_8_22 = e1
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (592), (2610) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2611) all_4_20 = e1
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (415), (2611) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2612) all_10_64 = e1
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (725), (2611) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2613) ~ (all_4_5 = e1)
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (737), (2611) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2614) ~ (all_4_13 = e1)
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (781), (2611) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2615) op(e1, e2) = all_10_22
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (814), (2611) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2616) op(e0, e1) = all_10_47
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2477) gives:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2617) all_10_61 = e3
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2506), (2617) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2618) e4 = e3
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (2618) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2619) $false
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2619) is inconsistent.
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2620) all_10_62 = e2 | all_10_63 = e1 | all_10_64 = e0
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2620) gives:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2621) all_10_62 = e2
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (455), (2621) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2622) all_4_8 = e2
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (2622) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2623) ~ (all_4_4 = e2)
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (723), (2622) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2624) ~ (all_4_5 = e2)
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (733), (2622) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2625) ~ (all_4_13 = e2)
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2625) implies:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2626) ~ (all_4_13 = e2)
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (735), (2622) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2627) ~ (all_4_14 = e2)
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2627) implies:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2628) ~ (all_4_14 = e2)
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (779), (2622) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2629) op(e2, e2) = all_10_12
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (29), (2622) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2630) op(e2, e2) = e2
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2631) all_8_17 = e4
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (590), (2631) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2632) all_4_13 = e4
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2521), (2632) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2633) $false
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2633) is inconsistent.
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2634) all_8_17 = e3 | all_8_17 = e2 | all_8_17 = e1 |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_17 = e0
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1967) gives:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2635) all_8_10 = e3
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (568), (2436), (2635) are inconsistent by
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #661.
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2636) all_8_10 = e2 | all_8_10 = e1 | all_8_10 = e0
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2636) gives:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2637) all_8_10 = e2
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (568), (2623), (2637) are inconsistent by
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #660.
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2638) ~ (all_8_10 = e2)
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2639) all_8_10 = e1 | all_8_10 = e0
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (872) gives:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2640) all_10_66 = e3
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (472), (2539), (2640) are inconsistent by
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #523.
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2641) all_10_67 = e2 | all_10_68 = e1 | all_10_69 = e0
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (385) gives:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2642) all_12_4 = e3
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (2642) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2643) all_4_5 = e3
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2643) implies:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2644) all_4_5 = e3
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (724), (2644) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2645) ~ (all_4_13 = e3)
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (2644) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2646) op(all_4_4, e3) = e4
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (777), (2644) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2647) op(e3, e2) = all_10_2
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (398) gives:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2648) all_12_0 = e0
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2447), (2648) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2649) e4 = e0
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (2649) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2650) $false
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2650) is inconsistent.
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2651) ~ (all_12_0 = e0)
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2652) all_12_1 = e0 | all_12_4 = e0 | all_12_9 = e0 |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_16 = e0
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2652) gives:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2653) all_12_1 = e0
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2577), (2653) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2654) e1 = e0
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (2654) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2655) $false
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2655) is inconsistent.
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2656) all_12_4 = e0 | all_12_9 = e0 | all_12_16 = e0
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2656) gives:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2657) all_12_4 = e0
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2642), (2657) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2658) e3 = e0
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (2658) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2659) $false
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2659) is inconsistent.
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2660) all_12_9 = e0 | all_12_16 = e0
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2639) gives:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2661) all_8_10 = e1
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (568), (2661) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2662) all_4_4 = e1
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2662) implies:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2663) all_4_4 = e1
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (2663) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2664) ~ (all_4_14 = e1)
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2664) implies:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2665) ~ (all_4_14 = e1)
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (769), (2663) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2666) op(e1, e4) = all_10_10
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2646), (2663) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2667) op(e1, e3) = e4
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (802), (2663) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2668) op(e2, e1) = all_10_35
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1962) gives:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2669) all_8_13 = e3
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (598), (2669) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2670) all_4_14 = e3
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2670) implies:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2671) all_4_14 = e3
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (532), (2671) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2672) all_10_67 = e3
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (2671) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2673) ~ (all_4_10 = e3)
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (53), (2671) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2674) op(all_4_13, e3) = e2
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (52), (2671) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2675) op(e3, all_4_13) = e1
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (784), (2671) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2676) op(e3, e1) = all_10_13
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (805), (2671) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2677) op(e2, e3) = all_10_38
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (28), (2671) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2678) op(e2, e1) = e3
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2634) gives:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2679) all_8_17 = e3
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (590), (2564), (2679) are inconsistent by
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #541.
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2680) all_8_17 = e2 | all_8_17 = e1 | all_8_17 = e0
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2680) gives:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2681) all_8_17 = e2
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (590), (2626), (2681) are inconsistent by
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #550.
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2682) all_8_17 = e1 | all_8_17 = e0
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2641) gives:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2683) all_10_67 = e2
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2672), (2683) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2684) e3 = e2
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2684) implies:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2685) e3 = e2
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (2685) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2686) $false
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2686) is inconsistent.
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2687) ~ (all_10_67 = e2)
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2688) all_10_68 = e1 | all_10_69 = e0
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2688) gives:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2689) all_10_68 = e1
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (2689) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2690) all_4_15 = e1
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2690) implies:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2691) all_4_15 = e1
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (785), (2691) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2692) op(e1, e1) = all_10_18
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23), (2691) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2693) op(e1, e1) = e1
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (374) gives:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2694) all_12_9 = e2
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (32), (659), (1716), (2440), (2642),
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2656), (2694), (function-axioms) are inconsistent
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #521.
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2695) all_12_10 = e2 | all_12_11 = e2 | all_12_15 = e2 |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_23 = e2
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (369) gives:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2696) all_12_12 = e2
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (2696) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2697) all_4_9 = e2
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2697) implies:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2698) all_4_9 = e2
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (676), (2698) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2699) ~ (all_4_1 = e2)
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (770), (2698) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2700) op(e2, e4) = all_10_15
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (56), (2698) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2701) op(all_4_10, e2) = e1
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (26), (2698) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2702) op(e1, e4) = e2
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2660) gives:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2703) all_12_9 = e0
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (2703) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2704) all_4_10 = e0
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (853), (2704) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2705) all_10_23 = e0
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2701), (2704) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2706) op(e0, e2) = e1
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (782), (2704) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2707) op(e0, e1) = all_10_3
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (387) gives:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2708) all_12_2 = e0
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (2708) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2709) all_4_1 = e0
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2709) implies:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2710) all_4_1 = e0
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2443), (2710) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2711) all_10_20 = e0
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (680), (2710) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2712) ~ (all_4_12 = e0)
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2712) implies:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2713) ~ (all_4_12 = e0)
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (768), (2710) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2714) op(e0, e4) = all_10_5
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2579), (2710) imply:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2715) op(e1, e0) = e3
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2695) gives:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2716) all_12_10 = e2
% 176.73/26.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (663), (2716) imply:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2717) all_4_12 = e2
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2717) implies:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2718) all_4_12 = e2
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2533), (2718) imply:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2719) op(e2, e4) = e1
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (783), (2718) imply:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2720) op(e2, e1) = all_10_8
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2531), (2718) imply:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2721) op(e4, e2) = e3
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (800), (2718) imply:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2722) op(e3, e2) = all_10_33
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (33), (2718) imply:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2723) op(e3, e1) = e2
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2682) gives:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2724) all_8_17 = e1
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (590), (2614), (2724) are inconsistent by
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #549.
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2725) all_8_17 = e0
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (590), (2725) imply:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2726) all_4_13 = e0
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2726) implies:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2727) all_4_13 = e0
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2674), (2727) imply:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2728) op(e0, e3) = e2
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (780), (2727) imply:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2729) op(e0, e2) = all_10_17
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2675), (2727) imply:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2730) op(e3, e0) = e1
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (24), (2727) imply:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2731) op(e1, e2) = e0
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_10_3,
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, simplifying with (851), (2707) gives:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2732) all_10_3 = e4
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_47,
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_3, e1, e0, simplifying with (2616), (2707)
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2733) all_10_3 = all_10_47
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_17, e2, e0, simplifying with (2706), (2729)
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2734) all_10_17 = e1
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_11, e3, e0, simplifying with (2524), (2728)
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2735) all_10_11 = e2
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_10_5,
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e0, simplifying with (2523), (2714) gives:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2736) all_10_5 = e3
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_10_9,
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e1, simplifying with (2588), (2715) gives:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2737) all_10_9 = e3
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_18, e1, e1, simplifying with (2692), (2693)
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2738) all_10_18 = e1
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_22, e2, e1, simplifying with (2615), (2731)
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2739) all_10_22 = e0
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_10_1,
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (2580), (2667) gives:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2740) all_10_1 = e4
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_10, e4, e1, simplifying with (2666), (2702)
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2741) all_10_10 = e2
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_35,
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_8, e1, e2, simplifying with (2668), (2720)
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2742) all_10_8 = all_10_35
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_10_8,
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (2678), (2720) gives:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2743) all_10_8 = e3
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_12, e2, e2, simplifying with (2629), (2630)
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2744) all_10_12 = e2
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_21, e3, e2, simplifying with (2500), (2601)
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2745) all_10_21 = e0
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_38,
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_21, e3, e2, simplifying with (2601), (2677)
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2746) all_10_21 = all_10_38
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_15, e4, e2, simplifying with (2700), (2719)
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2747) all_10_15 = e1
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_19, e0, e3, simplifying with (2565), (2730)
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2748) all_10_19 = e1
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_13, e1, e3, simplifying with (2676), (2723)
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2749) all_10_13 = e2
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_10_2,
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (2502), (2647) gives:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2750) all_10_2 = e4
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_33,
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_2, e2, e3, simplifying with (2647), (2722)
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2751) all_10_2 = all_10_33
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_10_6,
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (2544), (2545) gives:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2752) all_10_6 = e3
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_10_7,
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e4, simplifying with (2525), (2721) gives:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2753) all_10_7 = e3
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_16, e3, e4, simplifying with (2532), (2581)
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2754) all_10_16 = e1
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2750), (2751) imply:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2755) all_10_33 = e4
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2732), (2733) imply:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2756) all_10_47 = e4
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2742), (2743) imply:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2757) all_10_35 = e3
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2745), (2746) imply:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2758) all_10_38 = e0
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (331), (832), (2461), (2493), (2503), (2705),
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2711), (2732), (2734), (2735), (2736), (2737),
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2738), (2739), (2740), (2741), (2743), (2744),
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2745), (2747), (2748), (2749), (2750), (2752),
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2753), (2754) are inconsistent by sub-proof #666.
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2759) ~ (all_12_10 = e2)
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (663), (2759) imply:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2760) ~ (all_4_12 = e2)
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (595), (1970), (2531), (2539), (2673),
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2713), (2760), (function-axioms) are inconsistent
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #518.
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2761) ~ (all_12_2 = e0)
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (486), (2761) imply:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2762) ~ (all_4_1 = e0)
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (378), (566), (568), (665), (675), (2435), (2467),
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2511), (2639), (2699), (2762) are inconsistent by
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #655.
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2763) all_12_16 = e0
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2490), (2763) imply:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2764) e2 = e0
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2595), (2764) imply:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2765) all_12_21 = e0
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13), (2526), (2593), (2765) are inconsistent
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #517.
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2766) ~ (all_12_12 = e2)
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (446), (2766) imply:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2767) ~ (all_4_9 = e2)
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (13), (28), (401), (446), (486), (665),
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (842), (2431), (2447), (2578), (2623), (2767),
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #513.
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2768) all_10_69 = e0
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (838), (2768) are inconsistent by sub-proof
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #644.
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2769) all_8_13 = e2 | all_8_13 = e1 | all_8_13 = e0
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (598), (2517), (2628), (2665), (2769) are
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #544.
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2770) all_8_10 = e0
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (568), (2511), (2770) are inconsistent by
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #718.
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2771) ~ (all_12_4 = e3)
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (498), (2771) imply:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2772) ~ (all_4_5 = e3)
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (369) gives:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2773) all_12_12 = e2
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (2773) imply:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2774) all_4_9 = e2
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2774) implies:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2775) all_4_9 = e2
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (367) gives:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2776) all_12_12 = e0
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2773), (2776) imply:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2777) e2 = e0
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2777) implies:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2778) e2 = e0
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2595), (2778) imply:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2779) all_12_21 = e0
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13), (2526), (2593), (2779) are inconsistent
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #517.
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2780) all_12_13 = e0 | all_12_14 = e0 | all_12_15 = e0 |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_19 = e0
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2780) gives:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2781) all_12_13 = e0
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (2526), (2781) are inconsistent by sub-proof
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #559.
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2782) all_12_14 = e0 | all_12_15 = e0 | all_12_19 = e0
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (590), (661), (724), (2481), (2564),
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2613), (2614), (2624), (2626), (2634), (2772),
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2782) are inconsistent by sub-proof #539.
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2783) ~ (all_12_12 = e2)
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (446), (2783) imply:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2784) ~ (all_4_9 = e2)
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (13), (28), (401), (446), (486), (665),
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (842), (2431), (2447), (2578), (2623), (2784),
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #513.
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2785) all_10_63 = e1 | all_10_64 = e0
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2785) gives:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2786) all_10_63 = e1
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (435), (2786) imply:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2787) all_4_13 = e1
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2614), (2787) imply:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2788) $false
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2788) is inconsistent.
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2789) all_10_64 = e0
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2612), (2789) imply:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2790) e1 = e0
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2790) implies:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2791) e1 = e0
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (2791) imply:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2792) $false
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2792) is inconsistent.
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2793) all_8_22 = e0
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (592), (2793) imply:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2794) all_4_20 = e0
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (824), (2794) imply:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2795) $false
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2795) is inconsistent.
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2796) ~ (all_12_17 = e1)
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (470), (2796) imply:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2797) ~ (all_4_19 = e1)
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (606), (823), (2569), (2797) are inconsistent by
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #512.
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2798) all_8_1 = e0
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (574), (2509), (2798) are inconsistent by
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #597.
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2799) all_12_24 = e3
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (817), (2799) imply:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2800) e3 = e0
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (2800) imply:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2801) $false
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2801) is inconsistent.
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2802) all_10_57 = e2 | all_10_58 = e1 | all_10_59 = e0
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2802) gives:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2803) all_10_57 = e2
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2507), (2803) imply:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2804) e2 = e0
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2804) implies:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2805) e2 = e0
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (2805) imply:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2806) $false
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2806) is inconsistent.
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2807) all_10_58 = e1 | all_10_59 = e0
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (420), (822), (2529), (2807) are
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #511.
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2808) all_12_14 = e4 | all_12_15 = e4 | all_12_19 = e4
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (41), (51), (430), (660), (661), (1722),
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2459), (2521), (2808), (function-axioms) are
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #508.
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2809) ~ (all_12_16 = e2)
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (659), (2809) imply:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2810) ~ (all_4_17 = e2)
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (603), (821), (841), (1959), (2440), (2489),
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2810), (function-axioms) are inconsistent by
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #687.
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | (2811) ~ (all_10_50 = e4)
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | (2812) all_10_51 = e3 | all_10_52 = e2 | all_10_53 = e1 |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | all_10_54 = e0
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | REDUCE: (508), (2811) imply:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | (2813) ~ (all_4_0 = e4)
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | (2814) all_8_0 = e4
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (564), (2813), (2814) are inconsistent by
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | sub-proof #706.
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | (2815) ~ (all_8_0 = e4)
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | (2816) all_8_0 = e3 | all_8_0 = e2 | all_8_0 = e1 |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | all_8_0 = e0
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (406) gives:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | (2817) all_12_0 = e4
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (2817) imply:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | (2818) all_4_0 = e4
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2813), (2818) imply:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | (2819) $false
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2819) is inconsistent.
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | (2820) ~ (all_12_0 = e4)
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | (2821) all_12_1 = e4 | all_12_4 = e4 | all_12_9 = e4 |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | all_12_16 = e4
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (405) gives:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | (2822) all_12_0 = e4
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (2822) imply:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | (2823) all_4_0 = e4
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2813), (2823) imply:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | (2824) $false
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2824) is inconsistent.
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | (2825) all_12_2 = e4 | all_12_6 = e4 | all_12_12 = e4 |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | all_12_20 = e4
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | (2826) all_8_5 = e4
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (566), (2826) imply:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | (2827) all_4_1 = e4
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2827) implies:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | (2828) all_4_1 = e4
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (29), (35), (66), (399), (401), (404),
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | (446), (486), (506), (564), (657), (665), (667),
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | (675), (676), (678), (830), (843), (844), (1949),
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | (2816), (2825), (2828), (function-axioms) are
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #529.
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | (2829) ~ (all_8_5 = e4)
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (566), (2829) imply:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | (2830) ~ (all_4_1 = e4)
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2825) gives:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | (2831) all_12_2 = e4
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (2830), (2831) are inconsistent by
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #695.
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | (2832) all_12_6 = e4 | all_12_12 = e4 | all_12_20 = e4
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2832) gives:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2833) all_12_6 = e4
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (665), (1947), (2833) are inconsistent by
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #780.
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2834) all_12_12 = e4 | all_12_20 = e4
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2834) gives:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2835) all_12_12 = e4
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (2835) imply:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2836) all_4_9 = e4
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2836) implies:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2837) all_4_9 = e4
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (534), (2837) imply:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2838) all_10_53 = e4
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (691), (2837) imply:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2839) ~ (all_4_15 = e4)
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2812) gives:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2840) all_10_51 = e3
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (512), (2435), (2840) are inconsistent by
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #623.
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2841) all_10_52 = e2 | all_10_53 = e1 | all_10_54 = e0
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2841) gives:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2842) all_10_52 = e2
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (463), (2842) imply:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2843) all_4_4 = e2
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2843) implies:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2844) all_4_4 = e2
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (668), (2844) imply:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2845) ~ (all_4_0 = e2)
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (2844) imply:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2846) op(e2, all_4_5) = e4
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (323) gives:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2847) all_10_55 = e4
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (500), (2847) imply:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2848) all_4_2 = e4
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (35), (66), (399), (404), (506), (564),
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (671), (697), (830), (843), (2816), (2845),
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2848), (function-axioms) are inconsistent by
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #507.
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2849) ~ (all_10_55 = e4)
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (500), (2849) imply:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2850) ~ (all_4_2 = e4)
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2821) gives:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2851) all_12_1 = e4
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (2851) imply:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2852) all_4_2 = e4
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2850), (2852) imply:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2853) $false
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2853) is inconsistent.
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2854) all_12_4 = e4 | all_12_9 = e4 | all_12_16 = e4
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2854) gives:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2855) all_12_4 = e4
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (2855) imply:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2856) all_4_5 = e4
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2846), (2856) imply:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2857) op(e2, e4) = e4
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (1947), (2857), (function-axioms) are
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #618.
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2858) all_12_9 = e4 | all_12_16 = e4
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (494), (659), (840), (1950), (2858) are
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #505.
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2859) all_10_53 = e1 | all_10_54 = e0
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12), (2434), (2838), (2859) are inconsistent
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #504.
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2860) all_12_20 = e4
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2431), (2860) imply:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2861) e4 = e3
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (2861) imply:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2862) $false
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2862) is inconsistent.
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | (2863) ~ (all_12_20 = e3)
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | REDUCE: (657), (2863) imply:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | (2864) ~ (all_4_16 = e3)
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | BETA: splitting (869) gives:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | (2865) all_8_20 = e3
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (572), (2865) imply:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | (2866) all_4_16 = e3
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2864), (2866) imply:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | (2867) $false
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | CLOSE: (2867) is inconsistent.
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | (2868) all_8_20 = e2 | all_8_20 = e1 | all_8_20 = e0
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2868) gives:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | (2869) all_8_20 = e2
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (572), (2869) imply:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | (2870) all_4_16 = e2
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (50), (363), (603), (659),
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | (821), (842), (1948), (1949), (1959), (2870),
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | #501.
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | (2871) all_8_20 = e1 | all_8_20 = e0
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (572), (820), (2430), (2871) are inconsistent by
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | | sub-proof #633.
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.38 | | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.38 | | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | | End of split
% 176.73/26.38 | | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | | End of split
% 176.73/26.38 | | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | | End of split
% 176.73/26.38 | | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | | End of split
% 176.73/26.38 | | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | End of split
% 176.73/26.38 | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | Case 2:
% 176.73/26.38 | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | (2872) all_12_19 = e4 | all_12_24 = e4
% 176.73/26.38 | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | | REF_CLOSE: (11), (430), (817), (1722), (2872) are
% 176.73/26.38 | | | | | | | | | | | | | inconsistent by sub-proof #500.
% 176.73/26.38 | | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | | End of split
% 176.73/26.38 | | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | | End of split
% 176.73/26.38 | | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | | End of split
% 176.73/26.38 | | | | | | | | | |
% 176.73/26.38 | | | | | | | | | End of split
% 176.73/26.38 | | | | | | | | |
% 176.73/26.38 | | | | | | | | End of split
% 176.73/26.38 | | | | | | | |
% 176.73/26.38 | | | | | | | End of split
% 176.73/26.38 | | | | | | |
% 176.73/26.38 | | | | | | End of split
% 176.73/26.38 | | | | | |
% 176.73/26.38 | | | | | End of split
% 176.73/26.38 | | | | |
% 176.73/26.38 | | | | End of split
% 176.73/26.38 | | | |
% 176.73/26.38 | | | End of split
% 176.73/26.38 | | |
% 176.73/26.38 | | Case 2:
% 176.73/26.38 | | |
% 176.73/26.38 | | | (2873) ~ (all_8_23 = e4)
% 176.73/26.38 | | | (2874) all_8_23 = e3 | all_8_23 = e2 | all_8_23 = e1 | all_8_23 = e0
% 176.73/26.38 | | |
% 176.73/26.38 | | | REDUCE: (602), (2873) imply:
% 176.73/26.38 | | | (2875) ~ (all_4_22 = e4)
% 176.73/26.38 | | |
% 176.73/26.38 | | | BETA: splitting (222) gives:
% 176.73/26.38 | | |
% 176.73/26.38 | | | Case 1:
% 176.73/26.38 | | | |
% 176.73/26.38 | | | | (2876) all_8_21 = e4
% 176.73/26.38 | | | |
% 176.73/26.38 | | | | COMBINE_EQS: (582), (2876) imply:
% 176.73/26.38 | | | | (2877) all_4_18 = e4
% 176.73/26.38 | | | |
% 176.73/26.38 | | | | SIMP: (2877) implies:
% 176.73/26.38 | | | | (2878) all_4_18 = e4
% 176.73/26.38 | | | |
% 176.73/26.38 | | | | COMBINE_EQS: (420), (2878) imply:
% 176.73/26.38 | | | | (2879) all_10_59 = e4
% 176.73/26.38 | | | |
% 176.73/26.38 | | | | COMBINE_EQS: (656), (2878) imply:
% 176.73/26.38 | | | | (2880) all_12_21 = e4
% 176.73/26.38 | | | |
% 176.73/26.38 | | | | REDUCE: (700), (2878) imply:
% 176.73/26.38 | | | | (2881) ~ (all_4_2 = e4)
% 176.73/26.38 | | | |
% 176.73/26.38 | | | | REDUCE: (706), (2878) imply:
% 176.73/26.38 | | | | (2882) ~ (all_4_3 = e4)
% 176.73/26.38 | | | |
% 176.73/26.38 | | | | REDUCE: (711), (2878) imply:
% 176.73/26.38 | | | | (2883) ~ (all_4_6 = e4)
% 176.73/26.38 | | | |
% 176.73/26.38 | | | | REDUCE: (715), (2878) imply:
% 176.73/26.38 | | | | (2884) ~ (all_4_11 = e4)
% 176.73/26.38 | | | |
% 176.73/26.38 | | | | REDUCE: (693), (2878) imply:
% 176.73/26.38 | | | | (2885) ~ (all_4_16 = e4)
% 176.73/26.38 | | | |
% 176.73/26.38 | | | | REDUCE: (719), (2878) imply:
% 176.73/26.38 | | | | (2886) ~ (all_4_20 = e4)
% 176.73/26.38 | | | |
% 176.73/26.38 | | | | SIMP: (2886) implies:
% 176.73/26.38 | | | | (2887) ~ (all_4_20 = e4)
% 176.73/26.38 | | | |
% 176.73/26.38 | | | | REDUCE: (720), (2878) imply:
% 176.73/26.38 | | | | (2888) ~ (all_4_22 = e4)
% 176.73/26.38 | | | |
% 176.73/26.38 | | | | REDUCE: (48), (2878) imply:
% 176.73/26.38 | | | | (2889) op(e4, all_4_19) = e3
% 176.73/26.38 | | | |
% 176.73/26.38 | | | | REDUCE: (776), (2878) imply:
% 176.73/26.38 | | | | (2890) op(e4, e3) = all_10_21
% 176.73/26.38 | | | |
% 176.73/26.38 | | | | REDUCE: (47), (2878) imply:
% 176.73/26.38 | | | | (2891) op(all_4_19, e4) = e0
% 176.73/26.38 | | | |
% 176.73/26.38 | | | | REDUCE: (813), (2878) imply:
% 176.73/26.38 | | | | (2892) op(e0, e4) = all_10_46
% 176.73/26.38 | | | |
% 176.73/26.38 | | | | REDUCE: (20), (2878) imply:
% 176.73/26.38 | | | | (2893) op(e0, e3) = e4
% 176.73/26.38 | | | |
% 176.73/26.39 | | | | GROUND_INST: instantiating (function-axioms) with all_4_16, all_10_46,
% 176.73/26.39 | | | | e4, e0, simplifying with (21), (2892) gives:
% 176.73/26.39 | | | | (2894) all_10_46 = all_4_16
% 176.73/26.39 | | | |
% 176.73/26.39 | | | | GROUND_INST: instantiating (function-axioms) with all_4_2, all_10_21,
% 176.73/26.39 | | | | e3, e4, simplifying with (40), (2890) gives:
% 176.73/26.39 | | | | (2895) all_10_21 = all_4_2
% 176.73/26.39 | | | |
% 176.73/26.39 | | | | BETA: splitting (221) gives:
% 176.73/26.39 | | | |
% 176.73/26.39 | | | | Case 1:
% 176.73/26.39 | | | | |
% 176.73/26.39 | | | | | (2896) all_8_22 = e4
% 176.73/26.39 | | | | |
% 176.73/26.39 | | | | | REF_CLOSE: (592), (2887), (2896) are inconsistent by sub-proof #499.
% 176.73/26.39 | | | | |
% 176.73/26.39 | | | | Case 2:
% 176.73/26.39 | | | | |
% 176.73/26.39 | | | | | (2897) ~ (all_8_22 = e4)
% 176.73/26.39 | | | | | (2898) all_8_22 = e3 | all_8_22 = e2 | all_8_22 = e1 | all_8_22 =
% 176.73/26.39 | | | | | e0
% 176.73/26.39 | | | | |
% 176.73/26.39 | | | | | BETA: splitting (223) gives:
% 176.73/26.39 | | | | |
% 176.73/26.39 | | | | | Case 1:
% 176.73/26.39 | | | | | |
% 176.73/26.39 | | | | | | (2899) all_8_20 = e4
% 176.73/26.39 | | | | | |
% 176.73/26.39 | | | | | | COMBINE_EQS: (572), (2899) imply:
% 176.73/26.39 | | | | | | (2900) all_4_16 = e4
% 176.73/26.39 | | | | | |
% 176.73/26.39 | | | | | | REDUCE: (2885), (2900) imply:
% 176.73/26.39 | | | | | | (2901) $false
% 176.73/26.39 | | | | | |
% 176.73/26.39 | | | | | | CLOSE: (2901) is inconsistent.
% 176.73/26.39 | | | | | |
% 176.73/26.39 | | | | | Case 2:
% 176.73/26.39 | | | | | |
% 176.73/26.39 | | | | | | (2902) ~ (all_8_20 = e4)
% 176.73/26.39 | | | | | | (2903) all_8_20 = e3 | all_8_20 = e2 | all_8_20 = e1 | all_8_20 =
% 176.73/26.39 | | | | | | e0
% 176.73/26.39 | | | | | |
% 176.73/26.39 | | | | | | BETA: splitting (323) gives:
% 176.73/26.39 | | | | | |
% 176.73/26.39 | | | | | | Case 1:
% 176.73/26.39 | | | | | | |
% 176.73/26.39 | | | | | | | (2904) all_10_55 = e4
% 176.73/26.39 | | | | | | |
% 176.73/26.39 | | | | | | | COMBINE_EQS: (500), (2904) imply:
% 176.73/26.39 | | | | | | | (2905) all_4_2 = e4
% 176.73/26.39 | | | | | | |
% 176.73/26.39 | | | | | | | REDUCE: (2881), (2905) imply:
% 176.73/26.39 | | | | | | | (2906) $false
% 176.73/26.39 | | | | | | |
% 176.73/26.39 | | | | | | | CLOSE: (2906) is inconsistent.
% 176.73/26.39 | | | | | | |
% 176.73/26.39 | | | | | | Case 2:
% 176.73/26.39 | | | | | | |
% 176.73/26.39 | | | | | | | (2907) ~ (all_10_55 = e4)
% 176.73/26.39 | | | | | | | (2908) all_10_56 = e3 | all_10_57 = e2 | all_10_58 = e1 |
% 176.73/26.39 | | | | | | | all_10_59 = e0
% 176.73/26.39 | | | | | | |
% 176.73/26.39 | | | | | | | BETA: splitting (242) gives:
% 176.73/26.39 | | | | | | |
% 176.73/26.39 | | | | | | | Case 1:
% 176.73/26.39 | | | | | | | |
% 176.73/26.39 | | | | | | | | (2909) all_8_1 = e4
% 176.73/26.39 | | | | | | | |
% 176.73/26.39 | | | | | | | | REF_CLOSE: (574), (2881), (2909) are inconsistent by sub-proof
% 176.73/26.39 | | | | | | | | #776.
% 176.73/26.39 | | | | | | | |
% 176.73/26.39 | | | | | | | Case 2:
% 176.73/26.39 | | | | | | | |
% 176.73/26.39 | | | | | | | | (2910) ~ (all_8_1 = e4)
% 176.73/26.39 | | | | | | | | (2911) all_8_1 = e3 | all_8_1 = e2 | all_8_1 = e1 | all_8_1 =
% 176.73/26.39 | | | | | | | | e0
% 176.73/26.39 | | | | | | | |
% 176.73/26.39 | | | | | | | | BETA: splitting (234) gives:
% 176.73/26.39 | | | | | | | |
% 176.73/26.39 | | | | | | | | Case 1:
% 176.73/26.39 | | | | | | | | |
% 176.73/26.39 | | | | | | | | | (2912) all_8_9 = e4
% 176.73/26.39 | | | | | | | | |
% 176.73/26.39 | | | | | | | | | COMBINE_EQS: (606), (2912) imply:
% 176.73/26.39 | | | | | | | | | (2913) all_4_19 = e4
% 176.73/26.39 | | | | | | | | |
% 176.73/26.39 | | | | | | | | | SIMP: (2913) implies:
% 176.73/26.39 | | | | | | | | | (2914) all_4_19 = e4
% 176.73/26.39 | | | | | | | | |
% 176.73/26.39 | | | | | | | | | REDUCE: (2891), (2914) imply:
% 176.73/26.39 | | | | | | | | | (2915) op(e4, e4) = e0
% 176.73/26.39 | | | | | | | | |
% 176.73/26.39 | | | | | | | | | REDUCE: (2889), (2914) imply:
% 176.73/26.39 | | | | | | | | | (2916) op(e4, e4) = e3
% 176.73/26.39 | | | | | | | | |
% 176.73/26.39 | | | | | | | | | REF_CLOSE: (8), (2915), (2916), (function-axioms) are
% 176.73/26.39 | | | | | | | | | inconsistent by sub-proof #498.
% 176.73/26.39 | | | | | | | | |
% 176.73/26.39 | | | | | | | | Case 2:
% 176.73/26.39 | | | | | | | | |
% 176.73/26.39 | | | | | | | | | (2917) ~ (all_8_9 = e4)
% 176.73/26.39 | | | | | | | | | (2918) all_8_9 = e3 | all_8_9 = e2 | all_8_9 = e1 | all_8_9
% 176.73/26.39 | | | | | | | | | = e0
% 176.73/26.39 | | | | | | | | |
% 176.73/26.39 | | | | | | | | | REDUCE: (606), (2917) imply:
% 176.73/26.39 | | | | | | | | | (2919) ~ (all_4_19 = e4)
% 176.73/26.39 | | | | | | | | |
% 176.73/26.39 | | | | | | | | | BETA: splitting (224) gives:
% 176.73/26.39 | | | | | | | | |
% 176.73/26.39 | | | | | | | | | Case 1:
% 176.73/26.39 | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | (2920) all_8_19 = e4
% 176.73/26.39 | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | COMBINE_EQS: (551), (2920) imply:
% 176.73/26.39 | | | | | | | | | | (2921) all_4_23 = e4
% 176.73/26.39 | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | COMBINE_EQS: (654), (2921) imply:
% 176.73/26.39 | | | | | | | | | | (2922) all_10_73 = e4
% 176.73/26.39 | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | COMBINE_EQS: (430), (2921) imply:
% 176.73/26.39 | | | | | | | | | | (2923) all_12_19 = e4
% 176.73/26.39 | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | REDUCE: (692), (2921) imply:
% 176.73/26.39 | | | | | | | | | | (2924) ~ (all_4_9 = e4)
% 176.73/26.39 | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | REDUCE: (739), (2921) imply:
% 176.73/26.39 | | | | | | | | | | (2925) ~ (all_4_13 = e4)
% 176.73/26.39 | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | REDUCE: (755), (2921) imply:
% 176.73/26.39 | | | | | | | | | | (2926) ~ (all_4_15 = e4)
% 176.73/26.39 | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | REDUCE: (759), (2921) imply:
% 176.73/26.39 | | | | | | | | | | (2927) ~ (all_4_17 = e4)
% 176.73/26.39 | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | REDUCE: (764), (2921) imply:
% 176.73/26.39 | | | | | | | | | | (2928) ~ (all_4_21 = e4)
% 176.73/26.39 | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | REDUCE: (44), (2921) imply:
% 176.73/26.39 | | | | | | | | | | (2929) op(all_4_22, e4) = e1
% 176.73/26.39 | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | REDUCE: (790), (2921) imply:
% 176.73/26.39 | | | | | | | | | | (2930) op(e4, e0) = all_10_19
% 176.73/26.39 | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | REDUCE: (811), (2921) imply:
% 176.73/26.39 | | | | | | | | | | (2931) op(e1, e4) = all_10_44
% 176.73/26.39 | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | REDUCE: (22), (2921) imply:
% 176.73/26.39 | | | | | | | | | | (2932) op(e1, e0) = e4
% 176.73/26.39 | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_9,
% 176.73/26.39 | | | | | | | | | | all_10_44, e4, e1, simplifying with (26), (2931)
% 176.73/26.39 | | | | | | | | | | gives:
% 176.73/26.39 | | | | | | | | | | (2933) all_10_44 = all_4_9
% 176.73/26.39 | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_17,
% 176.73/26.39 | | | | | | | | | | all_10_19, e0, e4, simplifying with (37), (2930)
% 176.73/26.39 | | | | | | | | | | gives:
% 176.73/26.39 | | | | | | | | | | (2934) all_10_19 = all_4_17
% 176.73/26.39 | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | BETA: splitting (229) gives:
% 176.73/26.39 | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | Case 1:
% 176.73/26.39 | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | (2935) all_8_14 = e4
% 176.73/26.39 | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | COMBINE_EQS: (607), (2935) imply:
% 176.73/26.39 | | | | | | | | | | | (2936) all_4_21 = e4
% 176.73/26.39 | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | REDUCE: (2928), (2936) imply:
% 176.73/26.39 | | | | | | | | | | | (2937) $false
% 176.73/26.39 | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | CLOSE: (2937) is inconsistent.
% 176.73/26.39 | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | Case 2:
% 176.73/26.39 | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | (2938) ~ (all_8_14 = e4)
% 176.73/26.39 | | | | | | | | | | | (2939) all_8_14 = e3 | all_8_14 = e2 | all_8_14 = e1 |
% 176.73/26.39 | | | | | | | | | | | all_8_14 = e0
% 176.73/26.39 | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | BETA: splitting (239) gives:
% 176.73/26.39 | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | Case 1:
% 176.73/26.39 | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | (2940) all_8_4 = e4
% 176.73/26.39 | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | REF_CLOSE: (603), (2927), (2940) are inconsistent by
% 176.73/26.39 | | | | | | | | | | | | sub-proof #787.
% 176.73/26.39 | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | Case 2:
% 176.73/26.39 | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | (2941) ~ (all_8_4 = e4)
% 176.73/26.39 | | | | | | | | | | | | (2942) all_8_4 = e3 | all_8_4 = e2 | all_8_4 = e1 |
% 176.73/26.39 | | | | | | | | | | | | all_8_4 = e0
% 176.73/26.39 | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | BETA: splitting (325) gives:
% 176.73/26.39 | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | Case 1:
% 176.73/26.39 | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | (2943) all_10_53 = e4
% 176.73/26.39 | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | COMBINE_EQS: (534), (2943) imply:
% 176.73/26.39 | | | | | | | | | | | | | (2944) all_4_9 = e4
% 176.73/26.39 | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | REDUCE: (2924), (2944) imply:
% 176.73/26.39 | | | | | | | | | | | | | (2945) $false
% 176.73/26.39 | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | CLOSE: (2945) is inconsistent.
% 176.73/26.39 | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | Case 2:
% 176.73/26.39 | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | (2946) ~ (all_10_53 = e4)
% 176.73/26.39 | | | | | | | | | | | | | (2947) all_10_58 = e3 | all_10_63 = e2 | all_10_68 = e1 |
% 176.73/26.39 | | | | | | | | | | | | | all_10_73 = e0
% 176.73/26.39 | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | BETA: splitting (227) gives:
% 176.73/26.39 | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | Case 1:
% 176.73/26.39 | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | (2948) all_8_16 = e4
% 176.73/26.39 | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | COMBINE_EQS: (580), (2948) imply:
% 176.73/26.39 | | | | | | | | | | | | | | (2949) all_4_11 = e4
% 176.73/26.39 | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | REDUCE: (2884), (2949) imply:
% 176.73/26.39 | | | | | | | | | | | | | | (2950) $false
% 176.73/26.39 | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | CLOSE: (2950) is inconsistent.
% 176.73/26.39 | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | Case 2:
% 176.73/26.39 | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | (2951) ~ (all_8_16 = e4)
% 176.73/26.39 | | | | | | | | | | | | | | (2952) all_8_16 = e3 | all_8_16 = e2 | all_8_16 = e1 |
% 176.73/26.39 | | | | | | | | | | | | | | all_8_16 = e0
% 176.73/26.39 | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 176.73/26.39 | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | Case 1:
% 176.73/26.39 | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | (2953) all_8_15 = e4
% 176.73/26.39 | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | REF_CLOSE: (570), (2924), (2953) are inconsistent by
% 176.73/26.39 | | | | | | | | | | | | | | | sub-proof #782.
% 176.73/26.39 | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | Case 2:
% 176.73/26.39 | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | (2954) all_8_15 = e3 | all_8_15 = e2 | all_8_15 = e1 |
% 176.73/26.39 | | | | | | | | | | | | | | | all_8_15 = e0
% 176.73/26.39 | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 176.73/26.39 | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | Case 1:
% 176.73/26.39 | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | (2955) all_8_17 = e4
% 176.73/26.39 | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | COMBINE_EQS: (590), (2955) imply:
% 176.73/26.39 | | | | | | | | | | | | | | | | (2956) all_4_13 = e4
% 176.73/26.39 | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | REDUCE: (2925), (2956) imply:
% 176.73/26.39 | | | | | | | | | | | | | | | | (2957) $false
% 176.73/26.39 | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | CLOSE: (2957) is inconsistent.
% 176.73/26.39 | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | Case 2:
% 176.73/26.39 | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | (2958) ~ (all_8_17 = e4)
% 176.73/26.39 | | | | | | | | | | | | | | | | (2959) all_8_17 = e3 | all_8_17 = e2 | all_8_17 = e1 |
% 176.73/26.39 | | | | | | | | | | | | | | | | all_8_17 = e0
% 176.73/26.39 | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | BETA: splitting (365) gives:
% 176.73/26.39 | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.39 | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | (2960) all_12_16 = e3
% 176.73/26.39 | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (2960) imply:
% 176.73/26.39 | | | | | | | | | | | | | | | | | (2961) all_4_17 = e3
% 176.73/26.39 | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | REDUCE: (50), (2961) imply:
% 176.73/26.39 | | | | | | | | | | | | | | | | | (2962) op(all_4_16, e3) = e4
% 176.73/26.39 | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | REDUCE: (49), (2961) imply:
% 176.73/26.39 | | | | | | | | | | | | | | | | | (2963) op(e3, all_4_16) = e0
% 176.73/26.39 | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | BETA: splitting (359) gives:
% 176.73/26.39 | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.39 | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | (2964) all_12_20 = e1
% 176.73/26.39 | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (2964) imply:
% 176.73/26.39 | | | | | | | | | | | | | | | | | | (2965) all_4_16 = e1
% 176.73/26.39 | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | SIMP: (2965) implies:
% 176.73/26.39 | | | | | | | | | | | | | | | | | | (2966) all_4_16 = e1
% 176.73/26.39 | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | REDUCE: (2962), (2966) imply:
% 176.73/26.39 | | | | | | | | | | | | | | | | | | (2967) op(e1, e3) = e4
% 176.73/26.39 | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (2884), (2967), (function-axioms) are
% 176.73/26.39 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #694.
% 176.73/26.39 | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.39 | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | (2968) ~ (all_12_20 = e1)
% 176.73/26.39 | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | REDUCE: (657), (2968) imply:
% 176.73/26.39 | | | | | | | | | | | | | | | | | | (2969) ~ (all_4_16 = e1)
% 176.73/26.39 | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | BETA: splitting (361) gives:
% 176.73/26.39 | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.39 | | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | (2970) all_12_20 = e3
% 176.73/26.39 | | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (2970) imply:
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | (2971) all_4_16 = e3
% 176.73/26.39 | | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | SIMP: (2971) implies:
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | (2972) all_4_16 = e3
% 176.73/26.39 | | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | REDUCE: (2962), (2972) imply:
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | (2973) op(e3, e3) = e4
% 176.73/26.39 | | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | REDUCE: (2963), (2972) imply:
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | (2974) op(e3, e3) = e0
% 176.73/26.39 | | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (35), (2973), (2974), (function-axioms) are
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #528.
% 176.73/26.39 | | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.39 | | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | (2975) ~ (all_12_20 = e3)
% 176.73/26.39 | | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | REDUCE: (657), (2975) imply:
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | (2976) ~ (all_4_16 = e3)
% 176.73/26.39 | | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | BETA: splitting (2903) gives:
% 176.73/26.39 | | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | (2977) all_8_20 = e3
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (572), (2977) imply:
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | (2978) all_4_16 = e3
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | REDUCE: (2976), (2978) imply:
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | (2979) $false
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | CLOSE: (2979) is inconsistent.
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | (2980) all_8_20 = e2 | all_8_20 = e1 | all_8_20 = e0
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2980) gives:
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | | (2981) all_8_20 = e2
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (572), (2981) imply:
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | | (2982) all_4_16 = e2
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2962), (2982) imply:
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | | (2983) op(e2, e3) = e4
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (2883), (2983), (function-axioms) are
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #503.
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | | (2984) all_8_20 = e1 | all_8_20 = e0
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (572), (820), (2969), (2984) are inconsistent by
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | | sub-proof #633.
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.39 | | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.39 | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | End of split
% 176.73/26.39 | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.39 | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | (2985) ~ (all_12_16 = e3)
% 176.73/26.39 | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | REDUCE: (659), (2985) imply:
% 176.73/26.39 | | | | | | | | | | | | | | | | | (2986) ~ (all_4_17 = e3)
% 176.73/26.39 | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | BETA: splitting (363) gives:
% 176.73/26.39 | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.39 | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | (2987) all_12_16 = e1
% 176.73/26.39 | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (2987) imply:
% 176.73/26.39 | | | | | | | | | | | | | | | | | | (2988) all_4_17 = e1
% 176.73/26.39 | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2934), (2988) imply:
% 176.73/26.39 | | | | | | | | | | | | | | | | | | (2989) all_10_19 = e1
% 176.73/26.39 | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | REDUCE: (703), (2988) imply:
% 176.73/26.39 | | | | | | | | | | | | | | | | | | (2990) ~ (all_4_2 = e1)
% 176.73/26.39 | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | REDUCE: (727), (2988) imply:
% 176.73/26.39 | | | | | | | | | | | | | | | | | | (2991) ~ (all_4_5 = e1)
% 176.73/26.39 | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | REDUCE: (746), (2988) imply:
% 176.73/26.39 | | | | | | | | | | | | | | | | | | (2992) ~ (all_4_10 = e1)
% 176.73/26.39 | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | REDUCE: (757), (2988) imply:
% 176.73/26.39 | | | | | | | | | | | | | | | | | | (2993) ~ (all_4_19 = e1)
% 176.73/26.39 | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | SIMP: (2993) implies:
% 176.73/26.39 | | | | | | | | | | | | | | | | | | (2994) ~ (all_4_19 = e1)
% 176.73/26.39 | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | REDUCE: (758), (2988) imply:
% 176.73/26.39 | | | | | | | | | | | | | | | | | | (2995) ~ (all_4_21 = e1)
% 176.73/26.39 | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | SIMP: (2995) implies:
% 176.73/26.39 | | | | | | | | | | | | | | | | | | (2996) ~ (all_4_21 = e1)
% 176.73/26.39 | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | REDUCE: (50), (2988) imply:
% 176.73/26.39 | | | | | | | | | | | | | | | | | | (2997) op(all_4_16, e1) = e4
% 176.73/26.39 | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | REDUCE: (49), (2988) imply:
% 176.73/26.39 | | | | | | | | | | | | | | | | | | (2998) op(e1, all_4_16) = e0
% 176.73/26.39 | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | REDUCE: (787), (2988) imply:
% 176.73/26.39 | | | | | | | | | | | | | | | | | | (2999) op(e1, e0) = all_10_4
% 176.73/26.39 | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_10_4,
% 176.73/26.39 | | | | | | | | | | | | | | | | | | e0, e1, simplifying with (2932), (2999) gives:
% 176.73/26.39 | | | | | | | | | | | | | | | | | | (3000) all_10_4 = e4
% 176.73/26.39 | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | BETA: splitting (364) gives:
% 176.73/26.39 | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.39 | | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | (3001) all_12_16 = e2
% 176.73/26.39 | | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2987), (3001) are inconsistent by sub-proof
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | #497.
% 176.73/26.39 | | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.39 | | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | (3002) all_12_17 = e2 | all_12_18 = e2 | all_12_19 = e2 |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | all_12_24 = e2
% 176.73/26.39 | | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | BETA: splitting (328) gives:
% 176.73/26.39 | | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | (3003) all_10_50 = e4
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (508), (3003) imply:
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | (3004) all_4_0 = e4
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | REDUCE: (667), (3004) imply:
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | (3005) ~ (all_4_1 = e4)
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | SIMP: (3005) implies:
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | (3006) ~ (all_4_1 = e4)
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | REDUCE: (668), (3004) imply:
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | (3007) ~ (all_4_4 = e4)
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | SIMP: (3007) implies:
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | (3008) ~ (all_4_4 = e4)
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | REDUCE: (672), (3004) imply:
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | (3009) ~ (all_4_5 = e4)
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | SIMP: (3009) implies:
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | (3010) ~ (all_4_5 = e4)
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | REDUCE: (673), (3004) imply:
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | (3011) ~ (all_4_10 = e4)
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | SIMP: (3011) implies:
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | (3012) ~ (all_4_10 = e4)
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | REDUCE: (767), (3004) imply:
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | (3013) op(e4, e4) = all_10_0
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | REDUCE: (792), (3004) imply:
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | (3014) op(e4, e4) = all_10_25
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | REDUCE: (41), (3004) imply:
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | (3015) op(e4, e4) = e4
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_25,
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | all_10_0, e4, e4, simplifying with (3013), (3014)
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | (3016) all_10_0 = all_10_25
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_10_0,
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | e4, e4, simplifying with (3013), (3015) gives:
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | (3017) all_10_0 = e4
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3016), (3017) imply:
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | (3018) all_10_25 = e4
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | SIMP: (3018) implies:
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | (3019) all_10_25 = e4
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | | (3020) all_8_2 = e4
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (3010), (3020) are inconsistent by
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | | sub-proof #777.
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | | (3021) ~ (all_8_2 = e4)
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | | (3022) all_8_2 = e3 | all_8_2 = e2 | all_8_2 = e1 |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | | all_8_2 = e0
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | | | (3023) all_8_3 = e4
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (594), (3012), (3023) are inconsistent by
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | | | sub-proof #789.
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.39 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | (3024) ~ (all_8_3 = e4)
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | (3025) all_8_3 = e3 | all_8_3 = e2 | all_8_3 = e1 |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | all_8_3 = e0
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (322) gives:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | (3026) all_10_60 = e4
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (516), (3010), (3026) are inconsistent by
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #685.
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | (3027) all_10_61 = e3 | all_10_62 = e2 | all_10_63 = e1 |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | all_10_64 = e0
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (391) gives:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | (3028) all_12_2 = e4
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (3006), (3028) are inconsistent by
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #695.
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | (3029) ~ (all_12_2 = e4)
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | (3030) all_12_3 = e4 | all_12_5 = e4 | all_12_10 = e4 |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | all_12_17 = e4
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (381) gives:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | (3031) all_12_6 = e4
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (665), (3008), (3031) are inconsistent by
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #780.
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | (3032) ~ (all_12_6 = e4)
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | (3033) all_12_7 = e4 | all_12_8 = e4 | all_12_11 = e4 |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | all_12_18 = e4
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (321) gives:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (3034) all_10_65 = e4
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (528), (3012), (3034) are inconsistent by
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #790.
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (3035) all_10_66 = e3 | all_10_67 = e2 | all_10_68 = e1 |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_69 = e0
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3036) all_8_10 = e4
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (568), (3008), (3036) are inconsistent by
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #781.
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3037) all_8_10 = e3 | all_8_10 = e2 | all_8_10 = e1 |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_10 = e0
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3038) all_8_5 = e4
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (566), (3006), (3038) are inconsistent by
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #784.
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3039) all_8_5 = e3 | all_8_5 = e2 | all_8_5 = e1 |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_5 = e0
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (393) gives:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3040) all_12_1 = e1
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (3040) imply:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3041) all_4_2 = e1
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2990), (3041) imply:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3042) $false
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3042) is inconsistent.
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3043) ~ (all_12_1 = e1)
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3044) all_12_3 = e1 | all_12_7 = e1 | all_12_13 = e1 |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_21 = e1
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (361) gives:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3045) all_12_20 = e3
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (3045) imply:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3046) all_4_16 = e3
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3046) implies:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3047) all_4_16 = e3
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2997), (3047) imply:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3048) op(e3, e1) = e4
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_12, e4,
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (33), (3048) gives:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3049) all_4_12 = e4
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (747), (3049) imply:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3050) ~ (all_4_14 = e4)
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3050) implies:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3051) ~ (all_4_14 = e4)
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (58), (454), (462), (658), (664), (2883),
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2928), (3015), (3033), (3051), (function-axioms)
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #770.
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3052) ~ (all_12_20 = e3)
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3053) all_12_21 = e3 | all_12_22 = e3 | all_12_23 = e3 |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_24 = e3
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (657), (3052) imply:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3054) ~ (all_4_16 = e3)
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (360) gives:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3055) all_12_20 = e2
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (3055) imply:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3056) all_4_16 = e2
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3056) implies:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3057) all_4_16 = e2
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (688), (3057) imply:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3058) ~ (all_4_9 = e2)
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (771), (3057) imply:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3059) op(e2, e4) = all_10_20
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2997), (3057) imply:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3060) op(e2, e1) = e4
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2998), (3057) imply:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3061) op(e1, e2) = e0
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_13, e0,
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (24), (3061) gives:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3062) all_4_13 = e0
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_14, e4,
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (28), (3060) gives:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3063) all_4_14 = e4
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_4,
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_20, e4, e2, simplifying with (31), (3059)
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3064) all_10_20 = all_4_4
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (532), (3063) imply:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3065) all_10_67 = e4
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (435), (3062) imply:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3066) all_10_63 = e0
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (724), (3062) imply:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3067) ~ (all_4_5 = e0)
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (729), (3062) imply:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3068) ~ (all_4_7 = e0)
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (690), (3062) imply:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3069) ~ (all_4_9 = e0)
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (747), (3063) imply:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3070) ~ (all_4_12 = e4)
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (737), (3062) imply:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3071) ~ (all_4_20 = e0)
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (753), (3063) imply:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3072) ~ (all_4_21 = e4)
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (53), (3062), (3063) imply:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3073) op(e0, e4) = e2
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (780), (3062) imply:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3074) op(e0, e2) = all_10_17
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (784), (3063) imply:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3075) op(e4, e1) = all_10_13
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3030) gives:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3076) all_12_3 = e4
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (482), (3076) imply:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3077) all_4_3 = e4
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2882), (3077) imply:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3078) $false
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3078) is inconsistent.
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3079) all_12_5 = e4 | all_12_10 = e4 | all_12_17 = e4
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3079) gives:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3080) all_12_5 = e4
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (3080) imply:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3081) all_4_7 = e4
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3081) implies:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3082) all_4_7 = e4
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (518), (3082) imply:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3083) all_10_61 = e4
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (731), (3082) imply:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3084) ~ (all_4_12 = e4)
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (732), (3082) imply:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3085) ~ (all_4_19 = e4)
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (60), (3082) imply:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3086) op(all_4_6, e4) = e3
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (59), (3082) imply:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3087) op(e4, all_4_6) = e2
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (778), (3082) imply:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3088) op(e4, e2) = all_10_7
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (799), (3082) imply:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3089) op(e3, e4) = all_10_32
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3027) gives:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3090) all_10_61 = e3
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (3083), (3090) are inconsistent by sub-proof
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #496.
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3091) all_10_62 = e2 | all_10_63 = e1 | all_10_64 = e0
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3091) gives:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3092) all_10_62 = e2
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (455), (3092) imply:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3093) all_4_8 = e2
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3093) implies:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3094) all_4_8 = e2
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (3094) imply:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3095) ~ (all_4_4 = e2)
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (723), (3094) imply:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3096) ~ (all_4_5 = e2)
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (712), (3094) imply:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3097) ~ (all_4_6 = e2)
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (734), (3094) imply:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3098) ~ (all_4_20 = e2)
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3098) implies:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3099) ~ (all_4_20 = e2)
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (736), (3094) imply:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3100) ~ (all_4_21 = e2)
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3100) implies:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3101) ~ (all_4_21 = e2)
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (779), (3094) imply:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3102) op(e2, e2) = all_10_12
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (29), (3094) imply:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3103) op(e2, e2) = e2
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3022) gives:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3104) all_8_2 = e3
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (583), (3104) imply:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3105) all_4_5 = e3
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3105) implies:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3106) all_4_5 = e3
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (725), (3106) imply:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3107) ~ (all_4_20 = e3)
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3107) implies:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3108) ~ (all_4_20 = e3)
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (3106) imply:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3109) op(all_4_4, e3) = e4
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (61), (3106) imply:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3110) op(e3, all_4_4) = e2
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (777), (3106) imply:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3111) op(e3, e2) = all_10_2
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2898) gives:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3112) all_8_22 = e3
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (592), (3112) imply:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3113) all_4_20 = e3
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3108), (3113) imply:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3114) $false
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3114) is inconsistent.
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3115) ~ (all_8_22 = e3)
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3116) all_8_22 = e2 | all_8_22 = e1 | all_8_22 = e0
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3002) gives:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3117) all_12_17 = e2
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (470), (3117) imply:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3118) all_4_19 = e2
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (681), (3118) imply:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3119) ~ (all_4_1 = e2)
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (709), (3118) imply:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3120) ~ (all_4_3 = e2)
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2919), (3118) imply:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3121) ~ (e4 = e2)
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (788), (3118) imply:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3122) op(e2, e0) = all_10_9
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2889), (3118) imply:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3123) op(e4, e2) = e3
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (801), (3118) imply:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3124) op(e3, e2) = all_10_34
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2939) gives:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3125) all_8_14 = e3
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (607), (3125) imply:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3126) all_4_21 = e3
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3126) implies:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3127) all_4_21 = e3
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2928), (3127) imply:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3128) ~ (e4 = e3)
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (789), (3127) imply:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3129) op(e3, e0) = all_10_14
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (806), (3127) imply:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3130) op(e2, e3) = all_10_39
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3053) gives:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3131) all_12_21 = e3
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (2880), (3131) are inconsistent by sub-proof
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #495.
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3132) all_12_22 = e3 | all_12_23 = e3 | all_12_24 = e3
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3116) gives:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3133) all_8_22 = e2
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (592), (3099), (3133) are inconsistent by
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #494.
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3134) all_8_22 = e1 | all_8_22 = e0
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3134) gives:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3135) all_8_22 = e1
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (592), (3135) imply:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3136) all_4_20 = e1
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3136) implies:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3137) all_4_20 = e1
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (655), (3137) imply:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3138) all_12_22 = e1
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3108), (3137) imply:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3139) ~ (e3 = e1)
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (781), (3137) imply:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3140) op(e1, e2) = all_10_22
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3132) gives:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3141) all_12_22 = e3
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3138), (3141) imply:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3142) e3 = e1
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (3142) imply:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3143) $false
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3143) is inconsistent.
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3144) all_12_23 = e3 | all_12_24 = e3
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2874) gives:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3145) all_8_23 = e3
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (602), (3145) imply:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3146) all_4_22 = e3
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (560), (3146) imply:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3147) all_10_69 = e3
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (749), (3146) imply:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3148) ~ (all_4_12 = e3)
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (786), (3146) imply:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3149) op(e3, e1) = all_10_23
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3035) gives:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3150) all_10_66 = e3
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (472), (3148), (3150) are inconsistent by
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #523.
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3151) all_10_67 = e2 | all_10_68 = e1 | all_10_69 = e0
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3151) gives:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3152) all_10_67 = e2
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (3065), (3152) are inconsistent by sub-proof
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #493.
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3153) all_10_68 = e1 | all_10_69 = e0
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3153) gives:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3154) all_10_68 = e1
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (3154) imply:
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3155) all_4_15 = e1
% 176.73/26.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3155) implies:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3156) all_4_15 = e1
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (691), (3156) imply:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3157) ~ (all_4_9 = e1)
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (717), (3156) imply:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3158) ~ (all_4_11 = e1)
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (3156) imply:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3159) ~ (all_4_12 = e1)
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (785), (3156) imply:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3160) op(e1, e1) = all_10_18
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23), (3156) imply:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3161) op(e1, e1) = e1
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3162) all_8_8 = e4
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (595), (3070), (3162) are inconsistent by
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #563.
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3163) all_8_8 = e3 | all_8_8 = e2 | all_8_8 = e1 |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_8 = e0
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2954) gives:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3164) all_8_15 = e3
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (570), (3164) imply:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3165) all_4_9 = e3
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3165) implies:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3166) all_4_9 = e3
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (3166) imply:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3167) all_12_12 = e3
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (682), (3166) imply:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3168) ~ (all_4_4 = e3)
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (3166) imply:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3169) op(e3, all_4_10) = e4
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (770), (3166) imply:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3170) op(e3, e4) = all_10_15
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (369) gives:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3171) all_12_12 = e2
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (3167), (3171) are inconsistent by sub-proof
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #492.
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3172) all_12_13 = e2 | all_12_14 = e2 | all_12_15 = e2 |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_19 = e2
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (374) gives:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3173) all_12_9 = e2
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (3173) imply:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3174) all_4_10 = e2
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (702), (3174) imply:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3175) ~ (all_4_2 = e2)
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (742), (3174) imply:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3176) ~ (all_4_12 = e2)
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3176) implies:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3177) ~ (all_4_12 = e2)
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (782), (3174) imply:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3178) op(e2, e1) = all_10_3
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3169), (3174) imply:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3179) op(e3, e2) = e4
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2908) gives:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3180) all_10_56 = e3
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (514), (3180) imply:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3181) all_4_3 = e3
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (482), (3181) imply:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3182) all_12_3 = e3
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (678), (3181) imply:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3183) ~ (all_4_1 = e3)
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (697), (3181) imply:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3184) ~ (all_4_2 = e3)
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (708), (3181) imply:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3185) ~ (all_4_12 = e3)
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (773), (3181) imply:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3186) op(e3, e3) = all_10_6
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (35), (3181) imply:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3187) op(e3, e3) = e3
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (394) gives:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3188) all_12_1 = e2
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (3188) imply:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3189) all_4_2 = e2
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3175), (3189) imply:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3190) $false
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3190) is inconsistent.
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3191) all_12_3 = e2 | all_12_7 = e2 | all_12_13 = e2 |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_21 = e2
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2911) gives:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3192) all_8_1 = e3
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (574), (3184), (3192) are inconsistent by
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #747.
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3193) ~ (all_8_1 = e3)
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3194) all_8_1 = e2 | all_8_1 = e1 | all_8_1 = e0
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3172) gives:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3195) all_12_13 = e2
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (662), (3195) imply:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3196) all_4_11 = e2
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3196) implies:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3197) all_4_11 = e2
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (55), (3197) imply:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3198) op(e2, all_4_12) = e3
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (775), (3197) imply:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3199) op(e2, e3) = all_10_16
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (54), (3197) imply:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3200) op(all_4_12, e2) = e1
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (808), (3197) imply:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3201) op(e1, e2) = all_10_41
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (25), (3197) imply:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3202) op(e1, e3) = e2
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3163) gives:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3203) all_8_8 = e3
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (595), (3148), (3203) are inconsistent by
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #491.
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3204) all_8_8 = e2 | all_8_8 = e1 | all_8_8 = e0
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3204) gives:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3205) all_8_8 = e2
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (595), (3177), (3205) are inconsistent by
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #490.
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3206) all_8_8 = e1 | all_8_8 = e0
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3206) gives:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3207) all_8_8 = e1
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (595), (3159), (3207) are inconsistent by
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #489.
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3208) all_8_8 = e0
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (595), (3208) imply:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3209) all_4_12 = e0
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3209) implies:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3210) all_4_12 = e0
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (680), (3210) imply:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3211) ~ (all_4_1 = e0)
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3200), (3210) imply:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3212) op(e0, e2) = e1
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (783), (3210) imply:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3213) op(e0, e1) = all_10_8
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (33), (3210) imply:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3214) op(e3, e1) = e0
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3198), (3210) imply:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3215) op(e2, e0) = e3
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3044) gives:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3216) all_12_3 = e1
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3182), (3216) imply:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3217) e3 = e1
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (3217) imply:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3218) $false
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3218) is inconsistent.
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3219) all_12_7 = e1 | all_12_13 = e1 | all_12_21 = e1
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (388) gives:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3220) all_12_2 = e1
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (3220) imply:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3221) all_4_1 = e1
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3221) implies:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3222) all_4_1 = e1
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3006), (3222) imply:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3223) ~ (e4 = e1)
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (768), (3222) imply:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3224) op(e1, e4) = all_10_5
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (64), (3222) imply:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3225) op(all_4_2, e1) = e3
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (797), (3222) imply:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3226) op(e3, e1) = all_10_30
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (3222) imply:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3227) op(e3, e4) = e1
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3219) gives:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3228) all_12_7 = e1
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (462), (3228) imply:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3229) all_4_6 = e1
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3086), (3229) imply:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3230) op(e1, e4) = e3
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (774), (3229) imply:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3231) op(e1, e3) = all_10_11
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3087), (3229) imply:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3232) op(e4, e1) = e2
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (30), (3229) imply:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3233) op(e2, e3) = e1
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (377) gives:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3234) all_12_6 = e0
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (3234) imply:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3235) all_4_4 = e0
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3235) implies:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3236) all_4_4 = e0
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3064), (3236) imply:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3237) all_10_20 = e0
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (769), (3236) imply:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3238) op(e0, e4) = all_10_10
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3110), (3236) imply:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3239) op(e3, e0) = e2
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (392) gives:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3240) all_12_1 = e0
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (3240) imply:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3241) all_4_2 = e0
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2895), (3241) imply:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3242) all_10_21 = e0
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (772), (3241) imply:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3243) op(e0, e3) = all_10_1
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3225), (3241) imply:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3244) op(e0, e1) = e3
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_10_8,
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, simplifying with (3213), (3244) gives:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3245) all_10_8 = e3
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_17, e2, e0, simplifying with (3074), (3212)
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3246) all_10_17 = e1
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_10_1,
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (2893), (3243) gives:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3247) all_10_1 = e4
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_10, e4, e0, simplifying with (3073), (3238)
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3248) all_10_10 = e2
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_18, e1, e1, simplifying with (3160), (3161)
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3249) all_10_18 = e1
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_22, e2, e1, simplifying with (3061), (3140)
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3250) all_10_22 = e0
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_41,
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_22, e2, e1, simplifying with (3140), (3201)
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3251) all_10_22 = all_10_41
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_11, e3, e1, simplifying with (3202), (3231)
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3252) all_10_11 = e2
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_10_5,
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e1, simplifying with (3224), (3230) gives:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3253) all_10_5 = e3
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_10_9,
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e2, simplifying with (3122), (3215) gives:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3254) all_10_9 = e3
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_10_3,
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (3060), (3178) gives:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3255) all_10_3 = e4
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_12, e2, e2, simplifying with (3102), (3103)
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3256) all_10_12 = e2
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_39,
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_16, e3, e2, simplifying with (3130), (3199)
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3257) all_10_16 = all_10_39
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_16, e3, e2, simplifying with (3199), (3233)
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3258) all_10_16 = e1
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_14, e0, e3, simplifying with (3129), (3239)
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3259) all_10_14 = e2
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_30,
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_23, e1, e3, simplifying with (3149), (3226)
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3260) all_10_23 = all_10_30
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_23, e1, e3, simplifying with (3149), (3214)
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3261) all_10_23 = e0
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_34,
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_2, e2, e3, simplifying with (3111), (3124)
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3262) all_10_2 = all_10_34
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_10_2,
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (3111), (3179) gives:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3263) all_10_2 = e4
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_10_6,
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (3186), (3187) gives:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3264) all_10_6 = e3
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_32,
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_15, e4, e3, simplifying with (3089), (3170)
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3265) all_10_15 = all_10_32
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_15, e4, e3, simplifying with (3170), (3227)
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3266) all_10_15 = e1
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_13, e1, e4, simplifying with (3075), (3232)
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3267) all_10_13 = e2
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_10_7,
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e4, simplifying with (3088), (3123) gives:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3268) all_10_7 = e3
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3262), (3263) imply:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3269) all_10_34 = e4
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3265), (3266) imply:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3270) all_10_32 = e1
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3257), (3258) imply:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3271) all_10_39 = e1
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3250), (3251) imply:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3272) all_10_41 = e0
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3260), (3261) imply:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3273) all_10_30 = e0
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (331), (832), (2989), (3000), (3017), (3237),
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3242), (3245), (3246), (3247), (3248), (3249),
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3250), (3252), (3253), (3254), (3255), (3256),
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3258), (3259), (3261), (3263), (3264), (3266),
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3267), (3268) are inconsistent by sub-proof #666.
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3274) ~ (all_12_1 = e0)
% 176.73/26.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (574), (666), (2990), (3175), (3194), (3274) are
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #488.
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3275) ~ (all_12_6 = e0)
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (665), (3275) imply:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3276) ~ (all_4_4 = e0)
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (378), (566), (568), (665), (675), (3037), (3039),
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3095), (3119), (3168), (3183), (3211), (3276) are
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #654.
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3277) all_12_13 = e1 | all_12_21 = e1
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3277) gives:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3278) all_12_13 = e1
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (662), (3278) imply:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3279) all_4_11 = e1
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3158), (3279) imply:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3280) $false
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3280) is inconsistent.
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3281) all_12_21 = e1
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2880), (3281) imply:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3282) e4 = e1
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (3282) imply:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3283) $false
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3283) is inconsistent.
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3284) ~ (all_12_2 = e1)
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (486), (3284) imply:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3285) ~ (all_4_1 = e1)
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (27), (65), (566), (574), (2911), (2928), (2990),
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3039), (3175), (3183), (3184), (3211), (3285),
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #486.
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3286) ~ (all_12_13 = e2)
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (662), (3286) imply:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3287) ~ (all_4_11 = e2)
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3191) gives:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3288) all_12_3 = e2
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (482), (3288) imply:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3289) all_4_3 = e2
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3120), (3289) imply:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3290) $false
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3290) is inconsistent.
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3291) all_12_7 = e2 | all_12_13 = e2 | all_12_21 = e2
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3291) gives:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3292) all_12_7 = e2
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (462), (3292) imply:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3293) all_4_6 = e2
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3097), (3293) imply:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3294) $false
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3294) is inconsistent.
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3295) all_12_13 = e2 | all_12_21 = e2
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3295) gives:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3296) all_12_13 = e2
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (662), (3296) imply:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3297) all_4_11 = e2
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3287), (3297) imply:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3298) $false
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3298) is inconsistent.
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3299) all_12_21 = e2
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2880), (3299) imply:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3300) e4 = e2
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13), (3300) imply:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3301) $false
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3301) is inconsistent.
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3302) all_10_57 = e2 | all_10_58 = e1 | all_10_59 = e0
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (439), (523), (2879), (3097), (3158), (3302)
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #484.
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3303) ~ (all_12_9 = e2)
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (494), (3303) imply:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3304) ~ (all_4_10 = e2)
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (35), (375), (494), (594), (2882), (2919),
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2992), (3025), (3169), (3304), (function-axioms)
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #482.
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3305) all_8_15 = e2 | all_8_15 = e1 | all_8_15 = e0
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (570), (3058), (3069), (3157), (3305) are
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #728.
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3306) all_10_69 = e0
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3147), (3306) imply:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3307) e3 = e0
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3307) implies:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3308) e3 = e0
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (3308) imply:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3309) $false
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3309) is inconsistent.
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3310) ~ (all_8_23 = e3)
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (602), (3310) imply:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3311) ~ (all_4_22 = e3)
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (414), (817), (3144), (3311) are inconsistent
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #481.
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3312) all_8_22 = e0
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (592), (824), (3312) are inconsistent by sub-proof
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #480.
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3313) all_8_14 = e2 | all_8_14 = e1 | all_8_14 = e0
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (607), (825), (2996), (3101), (3313) are
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #478.
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3314) ~ (all_12_17 = e2)
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (470), (3314) imply:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3315) ~ (all_4_19 = e2)
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2918) gives:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3316) all_8_9 = e3
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (606), (3316) imply:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3317) all_4_19 = e3
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3317) implies:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3318) all_4_19 = e3
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (761), (3318) imply:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3319) ~ (all_4_21 = e3)
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3319) implies:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3320) ~ (all_4_21 = e3)
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2939) gives:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3321) all_8_14 = e3
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (607), (3320), (3321) are inconsistent by
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #678.
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3322) all_8_14 = e2 | all_8_14 = e1 | all_8_14 = e0
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (607), (825), (2996), (3101), (3322) are
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #478.
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3323) all_8_9 = e2 | all_8_9 = e1 | all_8_9 = e0
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (606), (823), (2994), (3315), (3323) are
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #477.
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3324) all_8_2 = e2 | all_8_2 = e1 | all_8_2 = e0
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (2991), (3067), (3096), (3324) are
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #749.
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3325) all_10_63 = e1 | all_10_64 = e0
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3325) gives:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3326) all_10_63 = e1
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3066), (3326) imply:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3327) e1 = e0
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (3327) imply:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3328) $false
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3328) is inconsistent.
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3329) all_10_64 = e0
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (415), (824), (3329) are inconsistent by sub-proof
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #672.
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3330) all_12_10 = e4 | all_12_17 = e4
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (470), (663), (2919), (3070), (3330) are
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #627.
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3331) ~ (all_12_20 = e2)
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (657), (3331) imply:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3332) ~ (all_4_16 = e2)
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (23), (572), (820), (2903), (2997), (2998),
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3054), (3332), (function-axioms) are inconsistent
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #476.
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | (3333) ~ (all_10_50 = e4)
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | REDUCE: (508), (3333) imply:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | (3334) ~ (all_4_0 = e4)
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | (3335) all_8_0 = e4
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (564), (3334), (3335) are inconsistent by
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | sub-proof #706.
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | (3336) ~ (all_8_0 = e4)
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | (3337) all_8_0 = e3 | all_8_0 = e2 | all_8_0 = e1 |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | all_8_0 = e0
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (406) gives:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | (3338) all_12_0 = e4
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (3338) imply:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | (3339) all_4_0 = e4
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3334), (3339) imply:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | (3340) $false
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3340) is inconsistent.
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | (3341) ~ (all_12_0 = e4)
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | (3342) all_12_1 = e4 | all_12_4 = e4 | all_12_9 = e4 |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | all_12_16 = e4
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (405) gives:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | (3343) all_12_0 = e4
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (3343) imply:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | (3344) all_4_0 = e4
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3334), (3344) imply:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | (3345) $false
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3345) is inconsistent.
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | (3346) all_12_2 = e4 | all_12_6 = e4 | all_12_12 = e4 |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | all_12_20 = e4
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | (3347) all_8_3 = e4
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (594), (3347) imply:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | (3348) all_4_10 = e4
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3348) implies:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | (3349) all_4_10 = e4
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (726), (3349) imply:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | (3350) ~ (all_4_5 = e4)
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (3349) imply:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | (3351) ~ (all_4_15 = e4)
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (3349) imply:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | (3352) op(all_4_9, e4) = e4
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (56), (3349) imply:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | (3353) op(e4, all_4_9) = e1
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (795), (3349) imply:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | (3354) op(e4, e4) = all_10_28
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_0,
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | all_10_28, e4, e4, simplifying with (41), (3354)
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | (3355) all_10_28 = all_4_0
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_15,
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | e4, e4, all_4_9, simplifying with (770), (3352)
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | (3356) all_10_15 = e4
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (391) gives:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | (3357) all_12_2 = e4
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (3357) imply:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | (3358) all_4_1 = e4
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3358) implies:
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | (3359) all_4_1 = e4
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.42 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (678), (3359) imply:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | (3360) ~ (all_4_3 = e4)
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (679), (3359) imply:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | (3361) ~ (all_4_7 = e4)
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3361) implies:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | (3362) ~ (all_4_7 = e4)
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (680), (3359) imply:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | (3363) ~ (all_4_12 = e4)
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3363) implies:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | (3364) ~ (all_4_12 = e4)
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (768), (3359) imply:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | (3365) op(e4, e4) = all_10_5
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (386) gives:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (3366) all_12_4 = e4
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (3350), (3366) are inconsistent by
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #686.
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (3367) all_12_5 = e4 | all_12_8 = e4 | all_12_14 = e4 |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_22 = e4
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3367) gives:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3368) all_12_5 = e4
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (3362), (3368) are inconsistent by
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #566.
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3369) all_12_8 = e4 | all_12_14 = e4 | all_12_22 = e4
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3369) gives:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3370) all_12_8 = e4
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (664), (3370) imply:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3371) all_4_8 = e4
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3371) implies:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3372) all_4_8 = e4
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (58), (3372) imply:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3373) op(e4, e4) = e2
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_0,
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_5, e4, e4, simplifying with (41), (3365)
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3374) all_10_5 = all_4_0
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_10_5,
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e4, simplifying with (3365), (3373) gives:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3375) all_10_5 = e2
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3374), (3375) imply:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3376) all_4_0 = e2
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3376) implies:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3377) all_4_0 = e2
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (670), (3377) imply:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3378) ~ (all_4_16 = e2)
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3378) implies:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3379) ~ (all_4_16 = e2)
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (23), (33), (361), (572), (657), (820),
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2903), (2997), (2998), (3364), (3379),
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #475.
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3380) all_12_14 = e4 | all_12_22 = e4
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (29), (35), (66), (399), (401), (404),
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (506), (564), (655), (661), (733), (738), (830),
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2882), (2887), (3334), (3337), (3380),
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #474.
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | (3381) ~ (all_12_2 = e4)
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (486), (3381) imply:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | (3382) ~ (all_4_1 = e4)
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3346) gives:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (3383) all_12_2 = e4
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (3382), (3383) are inconsistent by
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #695.
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (3384) all_12_6 = e4 | all_12_12 = e4 | all_12_20 = e4
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3384) gives:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3385) all_12_6 = e4
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (3385) imply:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3386) all_4_4 = e4
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3386) implies:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3387) all_4_4 = e4
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (29), (35), (66), (399), (401), (404),
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (506), (564), (668), (685), (830), (2882), (2926),
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3337), (3387), (function-axioms) are inconsistent
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #696.
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3388) all_12_12 = e4 | all_12_20 = e4
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (41), (446), (657), (2885), (3352), (3353),
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3388), (function-axioms) are inconsistent by
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #473.
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | (3389) ~ (all_8_3 = e4)
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (594), (3389) imply:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | (3390) ~ (all_4_10 = e4)
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3342) gives:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | (3391) all_12_1 = e4
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (3391) imply:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | (3392) all_4_2 = e4
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2881), (3392) imply:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | (3393) $false
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3393) is inconsistent.
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | (3394) all_12_4 = e4 | all_12_9 = e4 | all_12_16 = e4
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3394) gives:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (3395) all_12_4 = e4
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (3395) imply:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (3396) all_4_5 = e4
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3396) implies:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (3397) all_4_5 = e4
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (723), (3397) imply:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (3398) ~ (all_4_8 = e4)
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3398) implies:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (3399) ~ (all_4_8 = e4)
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (29), (35), (66), (399), (401), (404),
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (506), (564), (830), (2882), (2926), (3334),
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (3337), (3399), (function-axioms) are inconsistent
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #697.
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (3400) all_12_9 = e4 | all_12_16 = e4
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (494), (659), (2927), (3390), (3400) are
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #505.
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.43 | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.43 | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.43 | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | (3401) ~ (all_12_16 = e1)
% 176.73/26.43 | | | | | | | | | | | | | | | | | | (3402) all_12_17 = e1 | all_12_18 = e1 | all_12_19 = e1 |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | all_12_24 = e1
% 176.73/26.43 | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | REDUCE: (659), (3401) imply:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | (3403) ~ (all_4_17 = e1)
% 176.73/26.43 | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | BETA: splitting (2942) gives:
% 176.73/26.43 | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | (3404) all_8_4 = e3
% 176.73/26.43 | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (603), (2986), (3404) are inconsistent by
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | sub-proof #711.
% 176.73/26.43 | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | (3405) all_8_4 = e2 | all_8_4 = e1 | all_8_4 = e0
% 176.73/26.43 | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | BETA: splitting (3405) gives:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | (3406) all_8_4 = e2
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (603), (3406) imply:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | (3407) all_4_17 = e2
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | SIMP: (3407) implies:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | (3408) all_4_17 = e2
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (3408) imply:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | (3409) all_12_16 = e2
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | REDUCE: (674), (3408) imply:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | (3410) ~ (all_4_0 = e2)
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | REDUCE: (757), (3408) imply:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | (3411) ~ (all_4_19 = e2)
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | SIMP: (3411) implies:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | (3412) ~ (all_4_19 = e2)
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | REDUCE: (50), (3408) imply:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | (3413) op(all_4_16, e2) = e4
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | REDUCE: (49), (3408) imply:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | (3414) op(e2, all_4_16) = e0
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | REDUCE: (787), (3408) imply:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | (3415) op(e2, e0) = all_10_4
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | REDUCE: (796), (3408) imply:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | (3416) op(e4, e2) = all_10_29
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_21,
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | all_10_4, e0, e2, simplifying with (27), (3415)
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | (3417) all_10_4 = all_4_21
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_5,
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | all_10_29, e2, e4, simplifying with (39), (3416)
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | (3418) all_10_29 = all_4_5
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | BETA: splitting (328) gives:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | (3419) all_10_50 = e4
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (508), (3419) imply:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | (3420) all_4_0 = e4
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | SIMP: (3420) implies:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | (3421) all_4_0 = e4
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (3421) imply:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | (3422) all_12_0 = e4
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | REDUCE: (667), (3421) imply:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | (3423) ~ (all_4_1 = e4)
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | SIMP: (3423) implies:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | (3424) ~ (all_4_1 = e4)
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | REDUCE: (671), (3421) imply:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | (3425) ~ (all_4_2 = e4)
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | REDUCE: (668), (3421) imply:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | (3426) ~ (all_4_4 = e4)
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | SIMP: (3426) implies:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | (3427) ~ (all_4_4 = e4)
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | REDUCE: (673), (3421) imply:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | (3428) ~ (all_4_10 = e4)
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | SIMP: (3428) implies:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | (3429) ~ (all_4_10 = e4)
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | REDUCE: (670), (3421) imply:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | (3430) ~ (all_4_16 = e4)
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | REDUCE: (767), (3421) imply:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | (3431) op(e4, e4) = all_10_0
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | REDUCE: (792), (3421) imply:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | (3432) op(e4, e4) = all_10_25
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | REDUCE: (41), (3421) imply:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | (3433) op(e4, e4) = e4
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_25,
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | all_10_0, e4, e4, simplifying with (3431), (3432)
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | (3434) all_10_0 = all_10_25
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_10_0,
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | e4, e4, simplifying with (3431), (3433) gives:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | (3435) all_10_0 = e4
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3434), (3435) imply:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | (3436) all_10_25 = e4
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | SIMP: (3436) implies:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | (3437) all_10_25 = e4
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | (3438) all_8_3 = e4
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (594), (3429), (3438) are inconsistent by
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | sub-proof #789.
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | (3439) ~ (all_8_3 = e4)
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | (3440) all_8_3 = e3 | all_8_3 = e2 | all_8_3 = e1 |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | all_8_3 = e0
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (376) gives:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | (3441) all_12_9 = e4
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (494), (3429), (3441) are inconsistent by
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #506.
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | (3442) all_12_10 = e4 | all_12_11 = e4 | all_12_15 = e4 |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | all_12_23 = e4
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (326) gives:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | (3443) all_10_52 = e4
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (463), (3443) imply:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | (3444) all_4_4 = e4
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3427), (3444) imply:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | (3445) $false
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3445) is inconsistent.
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | (3446) ~ (all_10_52 = e4)
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | (3447) all_10_57 = e3 | all_10_62 = e2 | all_10_67 = e1 |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | all_10_72 = e0
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (327) gives:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | (3448) all_10_51 = e4
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (512), (3424), (3448) are inconsistent by
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #472.
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | (3449) ~ (all_10_51 = e4)
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | (3450) all_10_56 = e3 | all_10_61 = e2 | all_10_66 = e1 |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | all_10_71 = e0
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (3451) all_8_10 = e4
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (568), (3427), (3451) are inconsistent by
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #781.
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (3452) all_8_10 = e3 | all_8_10 = e2 | all_8_10 = e1 |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_10 = e0
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3453) all_8_5 = e4
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (566), (3424), (3453) are inconsistent by
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #784.
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3454) all_8_5 = e3 | all_8_5 = e2 | all_8_5 = e1 |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_5 = e0
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (359) gives:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3455) all_12_20 = e1
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (3455) imply:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3456) all_4_16 = e1
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3456) implies:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3457) all_4_16 = e1
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3413), (3457) imply:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3458) op(e1, e2) = e4
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (2925), (3458), (function-axioms) are
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #693.
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3459) ~ (all_12_20 = e1)
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (657), (3459) imply:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3460) ~ (all_4_16 = e1)
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (360) gives:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3461) all_12_20 = e2
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (3461) imply:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3462) all_4_16 = e2
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3462) implies:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3463) all_4_16 = e2
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3413), (3463) imply:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3464) op(e2, e2) = e4
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3414), (3463) imply:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3465) op(e2, e2) = e0
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (29), (3464), (3465), (function-axioms) are
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #639.
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3466) ~ (all_12_20 = e2)
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3467) all_12_21 = e2 | all_12_22 = e2 | all_12_23 = e2 |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_24 = e2
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (657), (3466) imply:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3468) ~ (all_4_16 = e2)
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2903) gives:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3469) all_8_20 = e3
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (572), (3469) imply:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3470) all_4_16 = e3
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2894), (3470) imply:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3471) all_10_46 = e3
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (683), (3470) imply:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3472) ~ (all_4_4 = e3)
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (688), (3470) imply:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3473) ~ (all_4_9 = e3)
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (694), (3470) imply:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3474) ~ (all_4_20 = e3)
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3474) implies:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3475) ~ (all_4_20 = e3)
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2885), (3470) imply:
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3476) ~ (e4 = e3)
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3413), (3470) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3477) op(e3, e2) = e4
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3414), (3470) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3478) op(e2, e3) = e0
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (812), (3470) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3479) op(e0, e3) = all_10_45
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4,
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_45, e3, e0, simplifying with (2893), (3479)
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3480) all_10_45 = e4
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_6, e0,
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (30), (3478) gives:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3481) all_4_6 = e0
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_7, e4,
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (34), (3477) gives:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3482) all_4_7 = e4
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (518), (3482) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3483) all_10_61 = e4
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (523), (3481) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3484) all_10_57 = e0
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (462), (3481) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3485) all_12_7 = e0
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (698), (3481) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3486) ~ (all_4_2 = e0)
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (3481) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3487) ~ (all_4_4 = e0)
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (712), (3481) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3488) ~ (all_4_8 = e0)
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3488) implies:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3489) ~ (all_4_8 = e0)
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (710), (3481) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3490) ~ (all_4_11 = e0)
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3490) implies:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3491) ~ (all_4_11 = e0)
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (3481) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3492) ~ (all_4_21 = e0)
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (731), (3482) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3493) ~ (all_4_12 = e4)
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3493) implies:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3494) ~ (all_4_12 = e4)
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (59), (3481), (3482) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3495) op(e4, e0) = e2
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (799), (3482) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3496) op(e3, e4) = all_10_32
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (803), (3481) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3497) op(e2, e0) = all_10_36
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3442) gives:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3498) all_12_10 = e4
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (663), (3494), (3498) are inconsistent by
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #628.
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3499) all_12_11 = e4 | all_12_15 = e4 | all_12_23 = e4
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3499) gives:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3500) all_12_11 = e4
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (454), (3500) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3501) all_4_14 = e4
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3501) implies:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3502) all_4_14 = e4
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (532), (3502) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3503) all_10_67 = e4
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (735), (3502) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3504) ~ (all_4_8 = e4)
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (753), (3502) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3505) ~ (all_4_21 = e4)
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (53), (3502) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3506) op(all_4_13, e4) = e2
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (52), (3502) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3507) op(e4, all_4_13) = e1
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (784), (3502) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3508) op(e4, e1) = all_10_13
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (805), (3502) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3509) op(e2, e4) = all_10_38
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3447) gives:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3510) all_10_57 = e3
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3484), (3510) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3511) e3 = e0
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3511) implies:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3512) e3 = e0
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (3512) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3513) $false
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3513) is inconsistent.
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3514) ~ (all_10_57 = e3)
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3515) all_10_62 = e2 | all_10_67 = e1 | all_10_72 = e0
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3484), (3514) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3516) ~ (e3 = e0)
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3515) gives:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3517) all_10_62 = e2
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (455), (3517) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3518) all_4_8 = e2
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3518) implies:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3519) all_4_8 = e2
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (664), (3519) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3520) all_12_8 = e2
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (3519) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3521) ~ (all_4_4 = e2)
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (733), (3519) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3522) ~ (all_4_13 = e2)
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3522) implies:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3523) ~ (all_4_13 = e2)
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (734), (3519) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3524) ~ (all_4_20 = e2)
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3524) implies:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3525) ~ (all_4_20 = e2)
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3504), (3519) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3526) ~ (e4 = e2)
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (779), (3519) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3527) op(e2, e2) = all_10_12
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (804), (3519) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3528) op(e2, e2) = all_10_37
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (29), (3519) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3529) op(e2, e2) = e2
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (380) gives:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3530) all_12_6 = e3
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (665), (3472), (3530) are inconsistent by
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #538.
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3531) ~ (all_12_6 = e3)
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3532) all_12_7 = e3 | all_12_8 = e3 | all_12_11 = e3 |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_18 = e3
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3532) gives:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3533) all_12_7 = e3
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3485), (3533) are inconsistent by sub-proof
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #471.
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3534) all_12_8 = e3 | all_12_11 = e3 | all_12_18 = e3
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3452) gives:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3535) all_8_10 = e3
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (568), (3472), (3535) are inconsistent by
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #661.
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3536) all_8_10 = e2 | all_8_10 = e1 | all_8_10 = e0
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3536) gives:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3537) all_8_10 = e2
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (568), (3521), (3537) are inconsistent by
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #660.
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3538) ~ (all_8_10 = e2)
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3539) all_8_10 = e1 | all_8_10 = e0
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3534) gives:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3540) all_12_8 = e3
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (3520), (3540) are inconsistent by sub-proof
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #679.
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3541) all_12_11 = e3 | all_12_18 = e3
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3467) gives:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3542) all_12_21 = e2
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (2880), (3542) are inconsistent by sub-proof
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #470.
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3543) all_12_22 = e2 | all_12_23 = e2 | all_12_24 = e2
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2898) gives:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3544) all_8_22 = e3
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (592), (3544) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3545) all_4_20 = e3
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3475), (3545) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3546) $false
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3546) is inconsistent.
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3547) all_8_22 = e2 | all_8_22 = e1 | all_8_22 = e0
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3547) gives:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3548) all_8_22 = e2
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (592), (3548) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3549) all_4_20 = e2
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3525), (3549) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3550) $false
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3550) is inconsistent.
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3551) ~ (all_8_22 = e2)
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3552) all_8_22 = e1 | all_8_22 = e0
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3541) gives:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3553) all_12_11 = e3
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (3500), (3553) are inconsistent by sub-proof
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #469.
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3554) all_12_18 = e3
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (658), (3554) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3555) all_4_21 = e3
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3555) implies:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3556) all_4_21 = e3
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (761), (3556) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3557) ~ (all_4_19 = e3)
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (789), (3556) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3558) op(e3, e0) = all_10_14
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (806), (3556) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3559) op(e2, e3) = all_10_39
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3402) gives:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3560) all_12_17 = e1
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (470), (3560) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3561) all_4_19 = e1
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (750), (3561) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3562) ~ (all_4_12 = e1)
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (788), (3561) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3563) op(e1, e0) = all_10_9
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (801), (3561) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3564) op(e3, e1) = all_10_34
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (378) gives:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3565) all_12_6 = e1
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (3565) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3566) all_4_4 = e1
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3566) implies:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3567) all_4_4 = e1
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (682), (3567) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3568) ~ (all_4_9 = e1)
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3568) implies:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3569) ~ (all_4_9 = e1)
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (3567) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3570) op(e1, all_4_5) = e4
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (61), (3567) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3571) op(all_4_5, e1) = e2
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (802), (3567) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3572) op(e2, e1) = all_10_35
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3552) gives:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3573) all_8_22 = e1
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (592), (3573) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3574) all_4_20 = e1
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3574) implies:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3575) all_4_20 = e1
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (655), (3575) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3576) all_12_22 = e1
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (737), (3575) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3577) ~ (all_4_13 = e1)
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3525), (3575) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3578) ~ (e2 = e1)
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (781), (3575) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3579) op(e1, e2) = all_10_22
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (814), (3575) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3580) op(e0, e1) = all_10_47
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3543) gives:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3581) all_12_22 = e2
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3576), (3581) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3582) e2 = e1
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (3582) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3583) $false
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3583) is inconsistent.
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3584) all_12_23 = e2 | all_12_24 = e2
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3584) gives:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3585) all_12_23 = e2
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (414), (3585) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3586) all_4_22 = e2
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3586) implies:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3587) all_4_22 = e2
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (745), (3587) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3588) ~ (all_4_10 = e2)
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (749), (3587) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3589) ~ (all_4_12 = e2)
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2929), (3587) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3590) op(e2, e4) = e1
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (786), (3587) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3591) op(e2, e1) = all_10_23
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (815), (3587) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3592) op(e0, e2) = all_10_48
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3450) gives:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3593) all_10_56 = e3
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (514), (3593) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3594) all_4_3 = e3
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (678), (3594) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3595) ~ (all_4_1 = e3)
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (697), (3594) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3596) ~ (all_4_2 = e3)
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (705), (3594) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3597) ~ (all_4_11 = e3)
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3597) implies:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3598) ~ (all_4_11 = e3)
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (708), (3594) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3599) ~ (all_4_12 = e3)
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3599) implies:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3600) ~ (all_4_12 = e3)
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (773), (3594) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3601) op(e3, e3) = all_10_6
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (798), (3594) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3602) op(e3, e3) = all_10_31
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (35), (3594) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3603) op(e3, e3) = e3
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3604) all_8_8 = e4
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (595), (3494), (3604) are inconsistent by
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #563.
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3605) ~ (all_8_8 = e4)
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3606) all_8_8 = e3 | all_8_8 = e2 | all_8_8 = e1 |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_8 = e0
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3606) gives:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3607) all_8_8 = e3
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (595), (3600), (3607) are inconsistent by
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #491.
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3608) all_8_8 = e2 | all_8_8 = e1 | all_8_8 = e0
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2947) gives:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3609) all_10_58 = e3
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (3609) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3610) all_4_11 = e3
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3598), (3610) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3611) $false
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3611) is inconsistent.
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3612) ~ (all_10_58 = e3)
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3613) all_10_63 = e2 | all_10_68 = e1 | all_10_73 = e0
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3613) gives:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3614) all_10_63 = e2
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (435), (3523), (3614) are inconsistent by
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #560.
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3615) all_10_68 = e1 | all_10_73 = e0
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3608) gives:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3616) all_8_8 = e2
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (595), (3589), (3616) are inconsistent by
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #490.
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3617) all_8_8 = e1 | all_8_8 = e0
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3617) gives:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3618) all_8_8 = e1
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (595), (3562), (3618) are inconsistent by
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #489.
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3619) all_8_8 = e0
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (595), (3619) imply:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3620) all_4_12 = e0
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3620) implies:
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3621) all_4_12 = e0
% 176.73/26.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (680), (3621) imply:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3622) ~ (all_4_1 = e0)
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (742), (3621) imply:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3623) ~ (all_4_10 = e0)
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3494), (3621) imply:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3624) ~ (e4 = e0)
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (55), (3621) imply:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3625) op(all_4_11, e0) = e3
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (54), (3621) imply:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3626) op(e0, all_4_11) = e1
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (783), (3621) imply:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3627) op(e0, e1) = all_10_8
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (800), (3621) imply:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3628) op(e3, e0) = all_10_33
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (33), (3621) imply:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3629) op(e3, e1) = e0
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (389) gives:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3630) all_12_2 = e2
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (3630) imply:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3631) all_4_1 = e2
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3631) implies:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3632) all_4_1 = e2
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (676), (3632) imply:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3633) ~ (all_4_9 = e2)
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3633) implies:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3634) ~ (all_4_9 = e2)
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (65), (3632) imply:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3635) op(e2, all_4_2) = e4
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (768), (3632) imply:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3636) op(e2, e4) = all_10_5
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (797), (3632) imply:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3637) op(e3, e2) = all_10_30
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (369) gives:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3638) all_12_12 = e2
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (3634), (3638) are inconsistent by
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #516.
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3639) ~ (all_12_12 = e2)
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3640) all_12_13 = e2 | all_12_14 = e2 | all_12_15 = e2 |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_19 = e2
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (398) gives:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3641) all_12_0 = e0
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3422), (3641) imply:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3642) e4 = e0
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (3642) imply:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3643) $false
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3643) is inconsistent.
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3644) ~ (all_12_0 = e0)
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3645) all_12_1 = e0 | all_12_4 = e0 | all_12_9 = e0 |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_16 = e0
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3645) gives:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3646) all_12_1 = e0
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (3646) imply:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3647) all_4_2 = e0
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3486), (3647) imply:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3648) $false
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3648) is inconsistent.
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3649) all_12_4 = e0 | all_12_9 = e0 | all_12_16 = e0
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3640) gives:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3650) all_12_13 = e2
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (662), (3650) imply:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3651) all_4_11 = e2
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3651) implies:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3652) all_4_11 = e2
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (699), (3652) imply:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3653) ~ (all_4_2 = e2)
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (775), (3652) imply:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3654) op(e2, e3) = all_10_16
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3625), (3652) imply:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3655) op(e2, e0) = e3
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (808), (3652) imply:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3656) op(e1, e2) = all_10_41
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (25), (3652) imply:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3657) op(e1, e3) = e2
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3626), (3652) imply:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3658) op(e0, e2) = e1
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (393) gives:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3659) all_12_1 = e1
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (3659) imply:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3660) all_4_2 = e1
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (702), (3660) imply:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3661) ~ (all_4_10 = e1)
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3661) implies:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3662) ~ (all_4_10 = e1)
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2881), (3660) imply:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3663) ~ (e4 = e1)
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (772), (3660) imply:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3664) op(e1, e3) = all_10_1
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (793), (3660) imply:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3665) op(e4, e1) = all_10_26
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3635), (3660) imply:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3666) op(e2, e1) = e4
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3649) gives:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3667) all_12_4 = e0
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (3667) imply:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3668) all_4_5 = e0
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3418), (3668) imply:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3669) all_10_29 = e0
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (726), (3668) imply:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3670) ~ (all_4_10 = e0)
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (777), (3668) imply:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3671) op(e0, e2) = all_10_2
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3571), (3668) imply:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3672) op(e0, e1) = e2
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (794), (3668) imply:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3673) op(e4, e0) = all_10_27
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (368) gives:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3674) all_12_12 = e1
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (3569), (3674) are inconsistent by
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #468.
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3675) ~ (all_12_12 = e1)
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3676) all_12_13 = e1 | all_12_14 = e1 | all_12_15 = e1 |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_19 = e1
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (367) gives:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3677) all_12_12 = e0
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (3677) imply:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3678) all_4_9 = e0
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3678) implies:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3679) all_4_9 = e0
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2933), (3679) imply:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3680) all_10_44 = e0
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (690), (3679) imply:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3681) ~ (all_4_13 = e0)
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3681) implies:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3682) ~ (all_4_13 = e0)
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (56), (3679) imply:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3683) op(all_4_10, e0) = e1
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (807), (3679) imply:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3684) op(e1, e0) = all_10_40
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2959) gives:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3685) all_8_17 = e3
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (590), (3685) imply:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3686) all_4_13 = e3
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3686) implies:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3687) all_4_13 = e3
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (661), (3687) imply:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3688) all_12_14 = e3
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3506), (3687) imply:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3689) op(e3, e4) = e2
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (780), (3687) imply:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3690) op(e3, e2) = all_10_17
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3507), (3687) imply:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3691) op(e4, e3) = e1
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (809), (3687) imply:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3692) op(e1, e3) = all_10_42
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (24), (3687) imply:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3693) op(e1, e2) = e3
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (375) gives:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3694) all_12_9 = e3
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (3694) imply:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3695) all_4_10 = e3
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (782), (3695) imply:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3696) op(e3, e1) = all_10_3
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3683), (3695) imply:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3697) op(e3, e0) = e1
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (795), (3695) imply:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3698) op(e4, e3) = all_10_28
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (38), (3695) imply:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3699) op(e4, e1) = e3
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3676) gives:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3700) all_12_13 = e1
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3650), (3700) are inconsistent by sub-proof
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #467.
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3701) all_12_14 = e1 | all_12_15 = e1 | all_12_19 = e1
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3701) gives:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3702) all_12_14 = e1
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3688), (3702) imply:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3703) e3 = e1
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3703) implies:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3704) e3 = e1
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (3704) imply:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3705) $false
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3705) is inconsistent.
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3706) all_12_15 = e1 | all_12_19 = e1
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3706) gives:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3707) all_12_15 = e1
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (660), (3707) imply:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3708) all_4_15 = e1
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (785), (3708) imply:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3709) op(e1, e1) = all_10_18
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (810), (3708) imply:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3710) op(e1, e1) = all_10_43
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23), (3708) imply:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3711) op(e1, e1) = e1
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_47,
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_8, e1, e0, simplifying with (3580), (3627)
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3712) all_10_8 = all_10_47
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_10_8,
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, simplifying with (3627), (3672) gives:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3713) all_10_8 = e2
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_48,
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_2, e2, e0, simplifying with (3592), (3671)
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3714) all_10_2 = all_10_48
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_10_2,
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (3658), (3671) gives:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3715) all_10_2 = e1
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_10_9,
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e1, simplifying with (2932), (3563) gives:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3716) all_10_9 = e4
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_40,
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_9, e0, e1, simplifying with (3563), (3684)
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3717) all_10_9 = all_10_40
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_43,
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_18, e1, e1, simplifying with (3709), (3710)
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3718) all_10_18 = all_10_43
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_18, e1, e1, simplifying with (3709), (3711)
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3719) all_10_18 = e1
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_41,
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_22, e2, e1, simplifying with (3579), (3656)
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3720) all_10_22 = all_10_41
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_22, e2, e1, simplifying with (3579), (3693)
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3721) all_10_22 = e3
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_42,
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_1, e3, e1, simplifying with (3664), (3692)
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3722) all_10_1 = all_10_42
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_10_1,
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (3657), (3664) gives:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3723) all_10_1 = e2
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_36, e0, e2, simplifying with (3497), (3655)
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3724) all_10_36 = e3
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_35,
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_23, e1, e2, simplifying with (3572), (3591)
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3725) all_10_23 = all_10_35
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4,
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_23, e1, e2, simplifying with (3591), (3666)
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3726) all_10_23 = e4
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_37,
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_12, e2, e2, simplifying with (3527), (3528)
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3727) all_10_12 = all_10_37
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_12, e2, e2, simplifying with (3527), (3529)
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3728) all_10_12 = e2
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_16, e3, e2, simplifying with (3478), (3654)
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3729) all_10_16 = e0
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_39,
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_16, e3, e2, simplifying with (3559), (3654)
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3730) all_10_16 = all_10_39
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_38,
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_5, e4, e2, simplifying with (3509), (3636)
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3731) all_10_5 = all_10_38
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_10_5,
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e2, simplifying with (3590), (3636) gives:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3732) all_10_5 = e1
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_33,
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_14, e0, e3, simplifying with (3558), (3628)
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3733) all_10_14 = all_10_33
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_14, e0, e3, simplifying with (3558), (3697)
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3734) all_10_14 = e1
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_34,
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_3, e1, e3, simplifying with (3564), (3696)
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3735) all_10_3 = all_10_34
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_10_3,
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (3629), (3696) gives:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3736) all_10_3 = e0
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4,
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_17, e2, e3, simplifying with (3477), (3690)
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3737) all_10_17 = e4
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_30,
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_17, e2, e3, simplifying with (3637), (3690)
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3738) all_10_17 = all_10_30
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_31,
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_6, e3, e3, simplifying with (3601), (3602)
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3739) all_10_6 = all_10_31
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_10_6,
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (3601), (3603) gives:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3740) all_10_6 = e3
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_32, e4, e3, simplifying with (3496), (3689)
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3741) all_10_32 = e2
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_27, e0, e4, simplifying with (3495), (3673)
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3742) all_10_27 = e2
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_26,
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_13, e1, e4, simplifying with (3508), (3665)
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3743) all_10_13 = all_10_26
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_13, e1, e4, simplifying with (3508), (3699)
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3744) all_10_13 = e3
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_28, e3, e4, simplifying with (3691), (3698)
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3745) all_10_28 = e1
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3722), (3723) imply:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3746) all_10_42 = e2
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3746) implies:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3747) all_10_42 = e2
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3714), (3715) imply:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3748) all_10_48 = e1
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3748) implies:
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3749) all_10_48 = e1
% 176.73/26.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3735), (3736) imply:
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3750) all_10_34 = e0
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3750) implies:
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3751) all_10_34 = e0
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3731), (3732) imply:
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3752) all_10_38 = e1
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3752) implies:
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3753) all_10_38 = e1
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3739), (3740) imply:
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3754) all_10_31 = e3
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3754) implies:
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3755) all_10_31 = e3
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3712), (3713) imply:
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3756) all_10_47 = e2
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3756) implies:
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3757) all_10_47 = e2
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3716), (3717) imply:
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3758) all_10_40 = e4
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3727), (3728) imply:
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3759) all_10_37 = e2
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3759) implies:
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3760) all_10_37 = e2
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3743), (3744) imply:
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3761) all_10_26 = e3
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3733), (3734) imply:
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3762) all_10_33 = e1
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3729), (3730) imply:
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3763) all_10_39 = e0
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3763) implies:
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3764) all_10_39 = e0
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3737), (3738) imply:
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3765) all_10_30 = e4
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3765) implies:
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3766) all_10_30 = e4
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3718), (3719) imply:
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3767) all_10_43 = e1
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3767) implies:
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3768) all_10_43 = e1
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3720), (3721) imply:
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3769) all_10_41 = e3
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3769) implies:
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3770) all_10_41 = e3
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3725), (3726) imply:
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3771) all_10_35 = e4
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (330), (834), (3437), (3471), (3480), (3669),
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3680), (3724), (3741), (3742), (3745), (3747),
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3749), (3751), (3753), (3755), (3757), (3758),
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3760), (3761), (3762), (3764), (3766), (3768),
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3770), (3771) are inconsistent by sub-proof #758.
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3772) all_12_19 = e1
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2923), (3772) imply:
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3773) e4 = e1
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (3773) imply:
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3774) $false
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3774) is inconsistent.
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3775) ~ (all_12_9 = e3)
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (494), (3775) imply:
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3776) ~ (all_4_10 = e3)
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (594), (3440), (3588), (3623), (3662), (3776) are
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #734.
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3777) all_8_17 = e2 | all_8_17 = e1 | all_8_17 = e0
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (590), (3523), (3577), (3682), (3777) are
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #547.
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3778) ~ (all_12_12 = e0)
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (446), (3778) imply:
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3779) ~ (all_4_9 = e0)
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2954) gives:
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3780) all_8_15 = e3
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (570), (3473), (3780) are inconsistent by
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #732.
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3781) all_8_15 = e2 | all_8_15 = e1 | all_8_15 = e0
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (570), (3569), (3634), (3779), (3781) are
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #728.
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3782) all_12_9 = e0 | all_12_16 = e0
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3782) gives:
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3783) all_12_9 = e0
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (494), (3623), (3783) are inconsistent by
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #466.
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3784) all_12_16 = e0
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3409), (3784) are inconsistent by sub-proof
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #465.
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3785) ~ (all_12_1 = e1)
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (666), (3785) imply:
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3786) ~ (all_4_2 = e1)
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (27), (574), (2911), (2928), (3596), (3635),
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3653), (3786), (function-axioms) are inconsistent
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #487.
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3787) ~ (all_12_13 = e2)
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (662), (3787) imply:
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3788) ~ (all_4_11 = e2)
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2952) gives:
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3789) all_8_16 = e3
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (580), (3598), (3789) are inconsistent by
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #766.
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3790) all_8_16 = e2 | all_8_16 = e1 | all_8_16 = e0
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3615) gives:
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3791) all_10_68 = e1
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (3791) imply:
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3792) all_4_15 = e1
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3792) implies:
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3793) all_4_15 = e1
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (717), (3793) imply:
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3794) ~ (all_4_11 = e1)
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (570), (580), (689), (2954), (3473), (3569),
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3634), (3788), (3790), (3794) are inconsistent by
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #726.
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3795) all_10_73 = e0
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (2922), (3795) are inconsistent by sub-proof
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #464.
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3796) ~ (all_12_2 = e2)
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (486), (3796) imply:
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3797) ~ (all_4_1 = e2)
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (378), (566), (568), (665), (675), (3452), (3454),
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3472), (3487), (3521), (3595), (3622), (3797) are
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #654.
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3798) all_10_61 = e2 | all_10_66 = e1 | all_10_71 = e0
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (472), (547), (823), (3483), (3562), (3798)
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #463.
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3799) all_12_24 = e2
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (817), (3799) imply:
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3800) e2 = e0
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (3800) imply:
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3801) $false
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3801) is inconsistent.
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3802) all_8_22 = e0
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (592), (824), (3802) are inconsistent by sub-proof
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #480.
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3803) ~ (all_12_6 = e1)
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (665), (3803) imply:
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3804) ~ (all_4_4 = e1)
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (568), (3487), (3539), (3804) are inconsistent by
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #656.
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3805) ~ (all_12_17 = e1)
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (470), (3805) imply:
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3806) ~ (all_4_19 = e1)
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2918) gives:
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3807) all_8_9 = e3
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (606), (3557), (3807) are inconsistent by
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #526.
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3808) all_8_9 = e2 | all_8_9 = e1 | all_8_9 = e0
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (606), (823), (3412), (3806), (3808) are
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #477.
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3809) all_10_67 = e1 | all_10_72 = e0
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (448), (825), (3503), (3809) are
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #461.
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3810) all_12_15 = e4 | all_12_23 = e4
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (414), (660), (2875), (2926), (3810) are
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #459.
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3811) all_8_20 = e2 | all_8_20 = e1 | all_8_20 = e0
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (572), (820), (3460), (3468), (3811) are
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #615.
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | (3812) ~ (all_10_50 = e4)
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | REDUCE: (508), (3812) imply:
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | (3813) ~ (all_4_0 = e4)
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (35), (66), (243), (399), (404), (506),
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | (564), (830), (2882), (2926), (3410), (3813),
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | | #636.
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | (3814) all_8_4 = e1 | all_8_4 = e0
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (603), (821), (3403), (3814) are inconsistent by
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | | sub-proof #638.
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.46 | | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.46 | | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | | End of split
% 176.73/26.46 | | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | | End of split
% 176.73/26.46 | | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | | End of split
% 176.73/26.46 | | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | | End of split
% 176.73/26.46 | | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | | End of split
% 176.73/26.46 | | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | | End of split
% 176.73/26.46 | | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | End of split
% 176.73/26.46 | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | End of split
% 176.73/26.46 | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | Case 2:
% 176.73/26.46 | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | (3815) ~ (all_8_19 = e4)
% 176.73/26.46 | | | | | | | | | | (3816) all_8_19 = e3 | all_8_19 = e2 | all_8_19 = e1 |
% 176.73/26.46 | | | | | | | | | | all_8_19 = e0
% 176.73/26.46 | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | REDUCE: (551), (3815) imply:
% 176.73/26.46 | | | | | | | | | | (3817) ~ (all_4_23 = e4)
% 176.73/26.46 | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | BETA: splitting (366) gives:
% 176.73/26.46 | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | Case 1:
% 176.73/26.46 | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | (3818) all_12_16 = e4
% 176.73/26.46 | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | COMBINE_EQS: (659), (3818) imply:
% 176.73/26.46 | | | | | | | | | | | (3819) all_4_17 = e4
% 176.73/26.46 | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | COMBINE_EQS: (488), (3819) imply:
% 176.73/26.46 | | | | | | | | | | | (3820) all_10_70 = e4
% 176.73/26.46 | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | REDUCE: (674), (3819) imply:
% 176.73/26.46 | | | | | | | | | | | (3821) ~ (all_4_0 = e4)
% 176.73/26.46 | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | REDUCE: (727), (3819) imply:
% 176.73/26.46 | | | | | | | | | | | (3822) ~ (all_4_5 = e4)
% 176.73/26.46 | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | REDUCE: (746), (3819) imply:
% 176.73/26.46 | | | | | | | | | | | (3823) ~ (all_4_10 = e4)
% 176.73/26.46 | | | | | | | | | | |
% 176.73/26.46 | | | | | | | | | | | REDUCE: (758), (3819) imply:
% 176.73/26.47 | | | | | | | | | | | (3824) ~ (all_4_21 = e4)
% 176.73/26.47 | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | SIMP: (3824) implies:
% 176.73/26.47 | | | | | | | | | | | (3825) ~ (all_4_21 = e4)
% 176.73/26.47 | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | REDUCE: (759), (3819) imply:
% 176.73/26.47 | | | | | | | | | | | (3826) ~ (all_4_23 = e4)
% 176.73/26.47 | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | REDUCE: (50), (3819) imply:
% 176.73/26.47 | | | | | | | | | | | (3827) op(all_4_16, e4) = e4
% 176.73/26.47 | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | REDUCE: (49), (3819) imply:
% 176.73/26.47 | | | | | | | | | | | (3828) op(e4, all_4_16) = e0
% 176.73/26.47 | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | REDUCE: (796), (3819) imply:
% 176.73/26.47 | | | | | | | | | | | (3829) op(e4, e4) = all_10_29
% 176.73/26.47 | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_0,
% 176.73/26.47 | | | | | | | | | | | all_10_29, e4, e4, simplifying with (41), (3829)
% 176.73/26.47 | | | | | | | | | | | gives:
% 176.73/26.47 | | | | | | | | | | | (3830) all_10_29 = all_4_0
% 176.73/26.47 | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_20,
% 176.73/26.47 | | | | | | | | | | | e4, e4, all_4_16, simplifying with (771), (3827)
% 176.73/26.47 | | | | | | | | | | | gives:
% 176.73/26.47 | | | | | | | | | | | (3831) all_10_20 = e4
% 176.73/26.47 | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | BETA: splitting (321) gives:
% 176.73/26.47 | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | Case 1:
% 176.73/26.47 | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | (3832) all_10_65 = e4
% 176.73/26.47 | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | REF_CLOSE: (528), (3823), (3832) are inconsistent by
% 176.73/26.47 | | | | | | | | | | | | sub-proof #790.
% 176.73/26.47 | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | Case 2:
% 176.73/26.47 | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | (3833) ~ (all_10_65 = e4)
% 176.73/26.47 | | | | | | | | | | | | (3834) all_10_66 = e3 | all_10_67 = e2 | all_10_68 = e1 |
% 176.73/26.47 | | | | | | | | | | | | all_10_69 = e0
% 176.73/26.47 | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | BETA: splitting (328) gives:
% 176.73/26.47 | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | Case 1:
% 176.73/26.47 | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | (3835) all_10_50 = e4
% 176.73/26.47 | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | REF_CLOSE: (508), (3821), (3835) are inconsistent by
% 176.73/26.47 | | | | | | | | | | | | | sub-proof #631.
% 176.73/26.47 | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | Case 2:
% 176.73/26.47 | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | (3836) ~ (all_10_50 = e4)
% 176.73/26.47 | | | | | | | | | | | | | (3837) all_10_55 = e3 | all_10_60 = e2 | all_10_65 = e1 |
% 176.73/26.47 | | | | | | | | | | | | | all_10_70 = e0
% 176.73/26.47 | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | BETA: splitting (329) gives:
% 176.73/26.47 | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | Case 1:
% 176.73/26.47 | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | (3838) all_10_50 = e4
% 176.73/26.47 | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | REF_CLOSE: (508), (3821), (3838) are inconsistent by
% 176.73/26.47 | | | | | | | | | | | | | | sub-proof #631.
% 176.73/26.47 | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | Case 2:
% 176.73/26.47 | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | (3839) all_10_51 = e3 | all_10_52 = e2 | all_10_53 = e1 |
% 176.73/26.47 | | | | | | | | | | | | | | all_10_54 = e0
% 176.73/26.47 | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | BETA: splitting (322) gives:
% 176.73/26.47 | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | Case 1:
% 176.73/26.47 | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | (3840) all_10_60 = e4
% 176.73/26.47 | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | REF_CLOSE: (516), (3822), (3840) are inconsistent by
% 176.73/26.47 | | | | | | | | | | | | | | | sub-proof #685.
% 176.73/26.47 | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | Case 2:
% 176.73/26.47 | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | (3841) ~ (all_10_60 = e4)
% 176.73/26.47 | | | | | | | | | | | | | | | (3842) all_10_61 = e3 | all_10_62 = e2 | all_10_63 = e1 |
% 176.73/26.47 | | | | | | | | | | | | | | | all_10_64 = e0
% 176.73/26.47 | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 176.73/26.47 | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | Case 1:
% 176.73/26.47 | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | (3843) all_8_0 = e4
% 176.73/26.47 | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | REF_CLOSE: (564), (3821), (3843) are inconsistent by
% 176.73/26.47 | | | | | | | | | | | | | | | | sub-proof #706.
% 176.73/26.47 | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | Case 2:
% 176.73/26.47 | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | (3844) ~ (all_8_0 = e4)
% 176.73/26.47 | | | | | | | | | | | | | | | | (3845) all_8_0 = e3 | all_8_0 = e2 | all_8_0 = e1 |
% 176.73/26.47 | | | | | | | | | | | | | | | | all_8_0 = e0
% 176.73/26.47 | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 176.73/26.47 | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.47 | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | (3846) all_8_2 = e4
% 176.73/26.47 | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (3822), (3846) are inconsistent by
% 176.73/26.47 | | | | | | | | | | | | | | | | | sub-proof #777.
% 176.73/26.47 | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.47 | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | (3847) ~ (all_8_2 = e4)
% 176.73/26.47 | | | | | | | | | | | | | | | | | (3848) all_8_2 = e3 | all_8_2 = e2 | all_8_2 = e1 |
% 176.73/26.47 | | | | | | | | | | | | | | | | | all_8_2 = e0
% 176.73/26.47 | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 176.73/26.47 | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.47 | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | (3849) all_8_3 = e4
% 176.73/26.47 | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | REF_CLOSE: (594), (3823), (3849) are inconsistent by
% 176.73/26.47 | | | | | | | | | | | | | | | | | | sub-proof #789.
% 176.73/26.47 | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.47 | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | (3850) ~ (all_8_3 = e4)
% 176.73/26.47 | | | | | | | | | | | | | | | | | | (3851) all_8_3 = e3 | all_8_3 = e2 | all_8_3 = e1 |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | all_8_3 = e0
% 176.73/26.47 | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | BETA: splitting (376) gives:
% 176.73/26.47 | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | (3852) all_12_9 = e4
% 176.73/26.47 | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (494), (3823), (3852) are inconsistent by
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | sub-proof #506.
% 176.73/26.47 | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | (3853) ~ (all_12_9 = e4)
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | (3854) all_12_10 = e4 | all_12_11 = e4 | all_12_15 = e4 |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | all_12_23 = e4
% 176.73/26.47 | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | BETA: splitting (360) gives:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | (3855) all_12_20 = e2
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (3855) imply:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | (3856) all_4_16 = e2
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | SIMP: (3856) implies:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | (3857) all_4_16 = e2
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | REDUCE: (3827), (3857) imply:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | (3858) op(e2, e4) = e4
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | REDUCE: (3828), (3857) imply:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | (3859) op(e4, e2) = e0
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_4, e4,
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | e4, e2, simplifying with (31), (3858) gives:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | (3860) all_4_4 = e4
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_5, e0,
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | e2, e4, simplifying with (39), (3859) gives:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | (3861) all_4_5 = e0
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (3861) imply:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | (3862) all_12_4 = e0
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (3860) imply:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | (3863) ~ (all_4_8 = e4)
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | SIMP: (3863) implies:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | (3864) ~ (all_4_8 = e4)
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | REDUCE: (722), (3861) imply:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | (3865) ~ (all_4_7 = e0)
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | SIMP: (3865) implies:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | (3866) ~ (all_4_7 = e0)
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | REDUCE: (3822), (3861) imply:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | (3867) ~ (e4 = e0)
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (3860), (3861) imply:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | (3868) op(e4, e0) = e4
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | REDUCE: (769), (3860) imply:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | (3869) op(e4, e4) = all_10_10
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | REDUCE: (794), (3861) imply:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | (3870) op(e4, e0) = all_10_27
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4,
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | all_10_27, e0, e4, simplifying with (3868), (3870)
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | (3871) all_10_27 = e4
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_0,
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | all_10_10, e4, e4, simplifying with (41), (3869)
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | (3872) all_10_10 = all_4_0
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | BETA: splitting (386) gives:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | (3873) all_12_4 = e4
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3862), (3873) imply:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | (3874) e4 = e0
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (3874) imply:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | (3875) $false
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | CLOSE: (3875) is inconsistent.
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | (3876) all_12_5 = e4 | all_12_8 = e4 | all_12_14 = e4 |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | all_12_22 = e4
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | (3877) all_8_7 = e4
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (586), (3877) imply:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | (3878) all_4_7 = e4
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | SIMP: (3878) implies:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | (3879) all_4_7 = e4
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (679), (3879) imply:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | (3880) ~ (all_4_1 = e4)
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (729), (3879) imply:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | (3881) ~ (all_4_13 = e4)
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | SIMP: (3881) implies:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | (3882) ~ (all_4_13 = e4)
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11), (12), (29), (31), (35), (36), (38),
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | (39), (41), (51), (57), (62), (63), (65), (66),
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | (360), (361), (371), (379), (384), (402), (403),
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | (405), (424), (430), (446), (463), (486), (498),
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | (500), (506), (512), (516), (528), (534), (564),
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | (572), (657), (660), (661), (662), (665), (667),
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | (669), (670), (671), (672), (673), (682), (683),
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | (685), (688), (705), (769), (777), (795), (820),
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | (2885), (2903), (3817), (3820), (3821), (3822),
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | (3823), (3827), (3828), (3837), (3839), (3845),
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | (3864), (3868), (3880), (3882), (function-axioms)
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #569.
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | (3883) ~ (all_8_7 = e4)
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (586), (3883) imply:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | (3884) ~ (all_4_7 = e4)
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3876) gives:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | (3885) all_12_5 = e4
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (3884), (3885) are inconsistent by
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #566.
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | (3886) all_12_8 = e4 | all_12_14 = e4 | all_12_22 = e4
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3886) gives:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | | (3887) all_12_8 = e4
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (664), (3864), (3887) are inconsistent by
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #681.
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | | (3888) all_12_14 = e4 | all_12_22 = e4
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (29), (35), (66), (399), (401), (404),
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | | (506), (564), (655), (661), (733), (738), (830),
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | | (2882), (2887), (3821), (3845), (3888),
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | | #474.
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | (3889) ~ (all_12_20 = e2)
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | (3890) all_12_21 = e2 | all_12_22 = e2 | all_12_23 = e2 |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | all_12_24 = e2
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | REDUCE: (657), (3889) imply:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | (3891) ~ (all_4_16 = e2)
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | BETA: splitting (405) gives:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | (3892) all_12_0 = e4
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (3892) imply:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | (3893) all_4_0 = e4
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | REDUCE: (3821), (3893) imply:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | (3894) $false
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | CLOSE: (3894) is inconsistent.
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | (3895) all_12_2 = e4 | all_12_6 = e4 | all_12_12 = e4 |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | all_12_20 = e4
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (381) gives:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | (3896) all_12_6 = e4
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (3896) imply:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | (3897) all_4_4 = e4
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | SIMP: (3897) implies:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | (3898) all_4_4 = e4
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (675), (3898) imply:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | (3899) ~ (all_4_1 = e4)
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (3898) imply:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | (3900) ~ (all_4_8 = e4)
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | SIMP: (3900) implies:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | (3901) ~ (all_4_8 = e4)
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (359) gives:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | (3902) all_12_20 = e1
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (3902) imply:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | (3903) all_4_16 = e1
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3903) implies:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | (3904) all_4_16 = e1
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (670), (3904) imply:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | (3905) ~ (all_4_0 = e1)
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (35), (66), (401), (404), (506), (564),
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | (830), (2882), (3821), (3845), (3901), (3905),
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | #698.
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | (3906) ~ (all_12_20 = e1)
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (657), (3906) imply:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | (3907) ~ (all_4_16 = e1)
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (572), (820), (2903), (3827), (3891),
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | (3899), (3907), (function-axioms) are inconsistent
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #614.
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | (3908) ~ (all_12_6 = e4)
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | (3909) all_12_7 = e4 | all_12_8 = e4 | all_12_11 = e4 |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | all_12_18 = e4
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (665), (3908) imply:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | (3910) ~ (all_4_4 = e4)
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (326) gives:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | (3911) all_10_52 = e4
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (463), (3910), (3911) are inconsistent by
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #778.
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | (3912) all_10_57 = e3 | all_10_62 = e2 | all_10_67 = e1 |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | all_10_72 = e0
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (361) gives:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | | (3913) all_12_20 = e3
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (3913) imply:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | | (3914) all_4_16 = e3
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3914) implies:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | | (3915) all_4_16 = e3
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (670), (3915) imply:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | | (3916) ~ (all_4_0 = e3)
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (677), (3915) imply:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | | (3917) ~ (all_4_1 = e3)
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (695), (3915) imply:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | | (3918) ~ (all_4_22 = e3)
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3918) implies:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | | (3919) ~ (all_4_22 = e3)
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3827), (3915) imply:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | | (3920) op(e3, e4) = e4
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3828), (3915) imply:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | | (3921) op(e4, e3) = e0
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_1, e4,
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | | e4, e3, simplifying with (36), (3920) gives:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | | (3922) all_4_1 = e4
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_2, e0,
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | | e3, e4, simplifying with (40), (3921) gives:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | | (3923) all_4_2 = e0
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (500), (3923) imply:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | | (3924) all_10_55 = e0
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (512), (3922) imply:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | | (3925) all_10_51 = e4
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (3923) imply:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | | (3926) all_12_1 = e0
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (671), (3923) imply:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | | (3927) ~ (all_4_0 = e0)
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (678), (3922) imply:
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | | (3928) ~ (all_4_3 = e4)
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.47 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (679), (3922) imply:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | (3929) ~ (all_4_7 = e4)
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3929) implies:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | (3930) ~ (all_4_7 = e4)
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (680), (3922) imply:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | (3931) ~ (all_4_12 = e4)
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3931) implies:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | (3932) ~ (all_4_12 = e4)
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (701), (3923) imply:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | (3933) ~ (all_4_5 = e0)
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3933) implies:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | (3934) ~ (all_4_5 = e0)
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (702), (3923) imply:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | (3935) ~ (all_4_10 = e0)
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3935) implies:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | (3936) ~ (all_4_10 = e0)
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2881), (3923) imply:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | (3937) ~ (e4 = e0)
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (768), (3922) imply:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | (3938) op(e4, e4) = all_10_5
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_0,
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | all_10_5, e4, e4, simplifying with (41), (3938)
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | (3939) all_10_5 = all_4_0
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (386) gives:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | (3940) all_12_4 = e4
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (3822), (3940) are inconsistent by
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #686.
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | (3941) ~ (all_12_4 = e4)
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | (3942) all_12_5 = e4 | all_12_8 = e4 | all_12_14 = e4 |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | all_12_22 = e4
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (404) gives:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (3943) all_12_0 = e3
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (3943) imply:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (3944) all_4_0 = e3
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3916), (3944) imply:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (3945) $false
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3945) is inconsistent.
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (3946) ~ (all_12_0 = e3)
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (3947) all_12_1 = e3 | all_12_4 = e3 | all_12_9 = e3 |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_16 = e3
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (402) gives:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3948) all_12_0 = e2
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (3948) imply:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3949) all_4_0 = e2
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (672), (3949) imply:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3950) ~ (all_4_5 = e2)
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3950) implies:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3951) ~ (all_4_5 = e2)
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3837) gives:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3952) all_10_55 = e3
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3924), (3952) imply:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3953) e3 = e0
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (3953) imply:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3954) $false
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3954) is inconsistent.
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3955) ~ (all_10_55 = e3)
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3956) all_10_60 = e2 | all_10_65 = e1 | all_10_70 = e0
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3924), (3955) imply:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3957) ~ (e3 = e0)
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3956) gives:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3958) all_10_60 = e2
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (516), (3951), (3958) are inconsistent by
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #585.
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3959) ~ (all_10_60 = e2)
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3960) all_10_65 = e1 | all_10_70 = e0
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3960) gives:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3961) all_10_65 = e1
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (528), (3961) imply:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3962) all_4_10 = e1
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3962) implies:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3963) all_4_10 = e1
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (726), (3963) imply:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3964) ~ (all_4_5 = e1)
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (745), (3963) imply:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3965) ~ (all_4_22 = e1)
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3965) implies:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3966) ~ (all_4_22 = e1)
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3947) gives:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3967) all_12_1 = e3
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3926), (3967) imply:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3968) e3 = e0
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3968) implies:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3969) e3 = e0
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (3969) imply:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3970) $false
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3970) is inconsistent.
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3971) all_12_4 = e3 | all_12_9 = e3 | all_12_16 = e3
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3971) gives:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3972) all_12_4 = e3
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (3972) imply:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3973) all_4_5 = e3
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3973) implies:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3974) all_4_5 = e3
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (722), (3974) imply:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3975) ~ (all_4_7 = e3)
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3975) implies:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3976) ~ (all_4_7 = e3)
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (725), (3974) imply:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3977) ~ (all_4_20 = e3)
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3977) implies:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3978) ~ (all_4_20 = e3)
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2874) gives:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3979) all_8_23 = e3
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (602), (3919), (3979) are inconsistent by
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #458.
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3980) all_8_23 = e2 | all_8_23 = e1 | all_8_23 = e0
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3980) gives:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3981) all_8_23 = e2
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (602), (3981) imply:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3982) all_4_22 = e2
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3982) implies:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3983) all_4_22 = e2
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (740), (3983) imply:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3984) ~ (all_4_20 = e2)
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2875), (3983) imply:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3985) ~ (e4 = e2)
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2898) gives:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3986) all_8_22 = e3
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (592), (3986) imply:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3987) all_4_20 = e3
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3978), (3987) imply:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3988) $false
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3988) is inconsistent.
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3989) all_8_22 = e2 | all_8_22 = e1 | all_8_22 = e0
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3989) gives:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3990) all_8_22 = e2
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (592), (3990) imply:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3991) all_4_20 = e2
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3984), (3991) imply:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3992) $false
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3992) is inconsistent.
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3993) all_8_22 = e1 | all_8_22 = e0
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3993) gives:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3994) all_8_22 = e1
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (592), (3994) imply:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3995) all_4_20 = e1
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (415), (3995) imply:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3996) all_10_64 = e1
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (737), (3995) imply:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3997) ~ (all_4_13 = e1)
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3842) gives:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3998) all_10_61 = e3
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (518), (3976), (3998) are inconsistent by
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #457.
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3999) all_10_62 = e2 | all_10_63 = e1 | all_10_64 = e0
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3999) gives:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4000) all_10_62 = e2
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (455), (4000) imply:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4001) all_4_8 = e2
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4001) implies:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4002) all_4_8 = e2
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (664), (4002) imply:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4003) all_12_8 = e2
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3942) gives:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4004) all_12_5 = e4
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (3930), (4004) are inconsistent by
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #566.
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4005) all_12_8 = e4 | all_12_14 = e4 | all_12_22 = e4
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4005) gives:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4006) all_12_8 = e4
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (4003), (4006) are inconsistent by sub-proof
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #456.
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4007) all_12_14 = e4 | all_12_22 = e4
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (29), (35), (66), (399), (401), (404),
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (506), (564), (655), (661), (733), (738), (830),
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2882), (2887), (3821), (3845), (4007),
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #474.
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4008) all_10_63 = e1 | all_10_64 = e0
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4008) gives:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4009) all_10_63 = e1
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (435), (3997), (4009) are inconsistent by
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #455.
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4010) all_10_64 = e0
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3996), (4010) imply:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4011) e1 = e0
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4011) implies:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4012) e1 = e0
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3961), (4012) imply:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4013) all_10_65 = e0
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11), (3820), (3960), (4013) are inconsistent
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #621.
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4014) all_8_22 = e0
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (592), (4014) imply:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4015) all_4_20 = e0
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (824), (4015) imply:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4016) $false
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4016) is inconsistent.
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4017) all_8_23 = e1 | all_8_23 = e0
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (602), (826), (3966), (4017) are inconsistent by
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #454.
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4018) ~ (all_12_4 = e3)
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (498), (4018) imply:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4019) ~ (all_4_5 = e3)
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (3848), (3934), (3951), (3964), (4019) are
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #748.
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4020) all_10_70 = e0
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (3820), (4020) are inconsistent by sub-proof
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #622.
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4021) ~ (all_12_0 = e2)
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (506), (4021) imply:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4022) ~ (all_4_0 = e2)
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3845) gives:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4023) all_8_0 = e3
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (564), (3916), (4023) are inconsistent by
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #703.
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4024) all_8_0 = e2 | all_8_0 = e1 | all_8_0 = e0
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4024) gives:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4025) all_8_0 = e2
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (564), (4022), (4025) are inconsistent by
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #702.
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4026) all_8_0 = e1 | all_8_0 = e0
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4026) gives:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4027) all_8_0 = e1
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 176.73/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (564), (4027) imply:
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4028) all_4_0 = e1
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4028) implies:
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4029) all_4_0 = e1
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (669), (4029) imply:
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4030) ~ (all_4_9 = e1)
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4030) implies:
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4031) ~ (all_4_9 = e1)
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (673), (4029) imply:
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4032) ~ (all_4_10 = e1)
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4032) implies:
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4033) ~ (all_4_10 = e1)
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3821), (4029) imply:
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4034) ~ (e4 = e1)
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (41), (4029) imply:
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4035) op(e4, e4) = e1
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3837) gives:
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4036) all_10_55 = e3
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3924), (4036) imply:
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4037) e3 = e0
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (4037) imply:
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4038) $false
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4038) is inconsistent.
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4039) all_10_60 = e2 | all_10_65 = e1 | all_10_70 = e0
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4039) gives:
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4040) all_10_60 = e2
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (516), (4040) imply:
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4041) all_4_5 = e2
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4041) implies:
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4042) all_4_5 = e2
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (725), (4042) imply:
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4043) ~ (all_4_20 = e2)
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4043) implies:
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4044) ~ (all_4_20 = e2)
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3822), (4042) imply:
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4045) ~ (e4 = e2)
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3890) gives:
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4046) all_12_21 = e2
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (2880), (4046) are inconsistent by sub-proof
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #470.
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4047) all_12_22 = e2 | all_12_23 = e2 | all_12_24 = e2
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3839) gives:
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4048) all_10_51 = e3
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (3925), (4048) are inconsistent by sub-proof
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #612.
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4049) all_10_52 = e2 | all_10_53 = e1 | all_10_54 = e0
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4047) gives:
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4050) all_12_22 = e2
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (655), (4050) imply:
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4051) all_4_20 = e2
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4051) implies:
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4052) all_4_20 = e2
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4044), (4052) imply:
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4053) $false
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4053) is inconsistent.
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4054) all_12_23 = e2 | all_12_24 = e2
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4054) gives:
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4055) all_12_23 = e2
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (414), (4055) imply:
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4056) all_4_22 = e2
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4056) implies:
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4057) all_4_22 = e2
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (560), (4057) imply:
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4058) all_10_69 = e2
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (745), (4057) imply:
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4059) ~ (all_4_10 = e2)
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (754), (4057) imply:
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4060) ~ (all_4_15 = e2)
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3851) gives:
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4061) all_8_3 = e3
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (594), (4061) imply:
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4062) all_4_10 = e3
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4062) implies:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4063) all_4_10 = e3
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (742), (4063) imply:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4064) ~ (all_4_12 = e3)
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4064) implies:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4065) ~ (all_4_12 = e3)
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4049) gives:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4066) all_10_52 = e2
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (463), (4066) imply:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4067) all_4_4 = e2
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4067) implies:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4068) all_4_4 = e2
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (4068) imply:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4069) ~ (all_4_6 = e2)
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4069) implies:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4070) ~ (all_4_6 = e2)
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (4068) imply:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4071) ~ (all_4_8 = e2)
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4071) implies:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4072) ~ (all_4_8 = e2)
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (4068) imply:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4073) ~ (all_4_14 = e2)
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4073) implies:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4074) ~ (all_4_14 = e2)
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3834) gives:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4075) all_10_66 = e3
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (472), (4065), (4075) are inconsistent by
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #523.
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4076) all_10_67 = e2 | all_10_68 = e1 | all_10_69 = e0
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4076) gives:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4077) all_10_67 = e2
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (532), (4074), (4077) are inconsistent by
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #453.
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4078) all_10_68 = e1 | all_10_69 = e0
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4078) gives:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4079) all_10_68 = e1
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (4079) imply:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4080) all_4_15 = e1
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (717), (4080) imply:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4081) ~ (all_4_11 = e1)
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4060), (4080) imply:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4082) ~ (e2 = e1)
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2908) gives:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4083) all_10_56 = e3
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (514), (4083) imply:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4084) all_4_3 = e3
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4084) implies:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4085) all_4_3 = e3
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (704), (4085) imply:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4086) ~ (all_4_6 = e3)
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4086) implies:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4087) ~ (all_4_6 = e3)
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3854) gives:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4088) all_12_10 = e4
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (663), (3932), (4088) are inconsistent by
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #628.
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4089) all_12_11 = e4 | all_12_15 = e4 | all_12_23 = e4
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4089) gives:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4090) all_12_11 = e4
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (454), (4090) imply:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4091) all_4_14 = e4
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4091) implies:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4092) all_4_14 = e4
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (532), (4092) imply:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4093) all_10_67 = e4
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (448), (455), (523), (825), (3912), (4072),
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4087), (4093) are inconsistent by sub-proof #451.
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4094) ~ (all_12_11 = e4)
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (454), (4094) imply:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4095) ~ (all_4_14 = e4)
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (41), (58), (454), (462), (658), (664),
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2883), (3825), (3909), (4035), (4095),
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #450.
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4096) all_10_57 = e2 | all_10_58 = e1 | all_10_59 = e0
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (439), (523), (2879), (4070), (4081), (4096)
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #484.
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4097) all_10_69 = e0
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4058), (4097) imply:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4098) e2 = e0
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4098) implies:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4099) e2 = e0
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4040), (4099) imply:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4100) all_10_60 = e0
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11), (528), (3820), (4033), (4039), (4100)
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #573.
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4101) all_10_53 = e1 | all_10_54 = e0
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (424), (534), (820), (4031), (4101) are
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #448.
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4102) all_8_3 = e2 | all_8_3 = e1 | all_8_3 = e0
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (594), (3936), (4033), (4059), (4102) are
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #447.
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4103) all_12_24 = e2
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (817), (4103) imply:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4104) e2 = e0
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4040), (4104) imply:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4105) all_10_60 = e0
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11), (528), (3820), (4033), (4039), (4105)
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #573.
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4106) all_10_65 = e1 | all_10_70 = e0
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (528), (3820), (4033), (4106) are
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #594.
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4107) all_8_0 = e0
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (564), (3927), (4107) are inconsistent by
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #609.
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | (4108) ~ (all_12_20 = e3)
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (657), (4108) imply:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | (4109) ~ (all_4_16 = e3)
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2903) gives:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | (4110) all_8_20 = e3
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (572), (4109), (4110) are inconsistent by
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #579.
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | (4111) ~ (all_8_20 = e3)
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | (4112) all_8_20 = e2 | all_8_20 = e1 | all_8_20 = e0
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4112) gives:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | (4113) all_8_20 = e2
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (572), (3891), (4113) are inconsistent by
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #616.
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | (4114) all_8_20 = e1 | all_8_20 = e0
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4114) gives:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4115) all_8_20 = e1
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (572), (4115) imply:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4116) all_4_16 = e1
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4116) implies:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4117) all_4_16 = e1
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (688), (4117) imply:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4118) ~ (all_4_9 = e1)
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4109), (4117) imply:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4119) ~ (e3 = e1)
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3827), (4117) imply:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4120) op(e1, e4) = e4
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3828), (4117) imply:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4121) op(e4, e1) = e0
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_9, e4,
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e1, simplifying with (26), (4120) gives:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4122) all_4_9 = e4
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_10, e0,
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e4, simplifying with (38), (4121) gives:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4123) all_4_10 = e0
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (528), (4123) imply:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4124) all_10_65 = e0
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (534), (4122) imply:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4125) all_10_53 = e4
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (676), (4122) imply:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4126) ~ (all_4_1 = e4)
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (690), (4122) imply:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4127) ~ (all_4_13 = e4)
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4127) implies:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4128) ~ (all_4_13 = e4)
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (691), (4122) imply:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4129) ~ (all_4_15 = e4)
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4129) implies:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4130) ~ (all_4_15 = e4)
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (742), (4123) imply:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4131) ~ (all_4_12 = e0)
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4131) implies:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4132) ~ (all_4_12 = e0)
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (4123) imply:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4133) ~ (all_4_14 = e0)
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4133) implies:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4134) ~ (all_4_14 = e0)
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (4122), (4123) imply:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4135) op(e4, e0) = e4
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (770), (4122) imply:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4136) op(e4, e4) = all_10_15
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (795), (4123) imply:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4137) op(e4, e0) = all_10_28
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4,
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_28, e0, e4, simplifying with (4135), (4137)
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4138) all_10_28 = e4
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_0,
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_15, e4, e4, simplifying with (41), (4136)
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4139) all_10_15 = all_4_0
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (386) gives:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4140) all_12_4 = e4
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (3822), (4140) are inconsistent by
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #686.
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4141) ~ (all_12_4 = e4)
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4142) all_12_5 = e4 | all_12_8 = e4 | all_12_14 = e4 |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_22 = e4
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4143) all_8_13 = e4
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (598), (4143) imply:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4144) all_4_14 = e4
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4144) implies:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4145) all_4_14 = e4
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (735), (4145) imply:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4146) ~ (all_4_8 = e4)
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11), (12), (29), (31), (35), (36), (38),
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (39), (41), (51), (57), (62), (63), (65), (66),
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (360), (361), (371), (379), (384), (402), (403),
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (424), (430), (446), (463), (486), (498), (500),
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (506), (512), (516), (528), (534), (564), (572),
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (657), (660), (661), (662), (665), (667), (669),
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (670), (671), (672), (673), (682), (683), (685),
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (688), (705), (769), (777), (795), (820), (2885),
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2903), (3817), (3820), (3822), (3823), (3827),
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3828), (3837), (3839), (3845), (3895), (4126),
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4128), (4135), (4146), (function-axioms) are
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #570.
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4147) ~ (all_8_13 = e4)
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (598), (4147) imply:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4148) ~ (all_4_14 = e4)
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3854) gives:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4149) all_12_10 = e4
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (663), (4149) imply:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4150) all_4_12 = e4
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4150) implies:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4151) all_4_12 = e4
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (731), (4151) imply:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4152) ~ (all_4_7 = e4)
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4142) gives:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4153) all_12_5 = e4
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (4152), (4153) are inconsistent by
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #566.
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4154) all_12_8 = e4 | all_12_14 = e4 | all_12_22 = e4
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4154) gives:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4155) all_12_8 = e4
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (664), (4155) imply:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4156) all_4_8 = e4
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4156) implies:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4157) all_4_8 = e4
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (58), (4157) imply:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4158) op(e4, e4) = e2
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_0, e2,
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e4, simplifying with (41), (4158) gives:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4159) all_4_0 = e2
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (668), (4159) imply:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4160) ~ (all_4_4 = e2)
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4160) implies:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4161) ~ (all_4_4 = e2)
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (672), (4159) imply:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4162) ~ (all_4_5 = e2)
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4162) implies:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4163) ~ (all_4_5 = e2)
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3837) gives:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4164) all_10_55 = e3
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (500), (4164) imply:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4165) all_4_2 = e3
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (65), (4165) imply:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4166) op(all_4_1, e3) = e4
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (35), (390), (424), (463), (486), (512),
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2882), (2885), (3828), (3839), (4125), (4135),
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4161), (4166), (function-axioms) are inconsistent
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #446.
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4167) all_10_60 = e2 | all_10_65 = e1 | all_10_70 = e0
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4167) gives:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4168) all_10_60 = e2
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (516), (4163), (4168) are inconsistent by
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #585.
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4169) all_10_65 = e1 | all_10_70 = e0
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11), (3820), (4124), (4169) are inconsistent
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #621.
% 177.56/26.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4170) all_12_14 = e4 | all_12_22 = e4
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (29), (35), (66), (399), (401), (404),
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (506), (564), (655), (661), (733), (738), (830),
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2882), (2887), (3821), (3845), (4170),
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #474.
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4171) all_12_11 = e4 | all_12_15 = e4 | all_12_23 = e4
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4171) gives:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4172) all_12_11 = e4
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (454), (4148), (4172) are inconsistent by
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #774.
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4173) all_12_15 = e4 | all_12_23 = e4
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (414), (660), (2875), (4130), (4173) are
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #459.
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4174) all_8_20 = e0
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (572), (820), (4174) are inconsistent by sub-proof
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | #634.
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | End of split
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | End of split
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | End of split
% 177.56/26.50 | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | End of split
% 177.56/26.50 | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | End of split
% 177.56/26.50 | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | End of split
% 177.56/26.50 | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | End of split
% 177.56/26.50 | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | End of split
% 177.56/26.50 | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | End of split
% 177.56/26.50 | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | End of split
% 177.56/26.50 | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | End of split
% 177.56/26.50 | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | Case 2:
% 177.56/26.50 | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | (4175) all_12_17 = e4 | all_12_18 = e4 | all_12_19 = e4 |
% 177.56/26.50 | | | | | | | | | | | all_12_24 = e4
% 177.56/26.50 | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | BETA: splitting (4175) gives:
% 177.56/26.50 | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | Case 1:
% 177.56/26.50 | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | (4176) all_12_17 = e4
% 177.56/26.50 | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | COMBINE_EQS: (470), (4176) imply:
% 177.56/26.50 | | | | | | | | | | | | (4177) all_4_19 = e4
% 177.56/26.50 | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | REDUCE: (2919), (4177) imply:
% 177.56/26.50 | | | | | | | | | | | | (4178) $false
% 177.56/26.50 | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | CLOSE: (4178) is inconsistent.
% 177.56/26.50 | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | Case 2:
% 177.56/26.50 | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | (4179) all_12_18 = e4 | all_12_19 = e4 | all_12_24 = e4
% 177.56/26.50 | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | BETA: splitting (4179) gives:
% 177.56/26.50 | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | Case 1:
% 177.56/26.50 | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | (4180) all_12_18 = e4
% 177.56/26.50 | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | COMBINE_EQS: (658), (4180) imply:
% 177.56/26.50 | | | | | | | | | | | | | (4181) all_4_21 = e4
% 177.56/26.50 | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | REDUCE: (687), (4181) imply:
% 177.56/26.50 | | | | | | | | | | | | | (4182) ~ (all_4_4 = e4)
% 177.56/26.50 | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | REDUCE: (736), (4181) imply:
% 177.56/26.50 | | | | | | | | | | | | | (4183) ~ (all_4_8 = e4)
% 177.56/26.50 | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | REDUCE: (753), (4181) imply:
% 177.56/26.50 | | | | | | | | | | | | | (4184) ~ (all_4_14 = e4)
% 177.56/26.50 | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | REDUCE: (758), (4181) imply:
% 177.56/26.50 | | | | | | | | | | | | | (4185) ~ (all_4_17 = e4)
% 177.56/26.50 | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | REDUCE: (764), (4181) imply:
% 177.56/26.50 | | | | | | | | | | | | | (4186) ~ (all_4_23 = e4)
% 177.56/26.50 | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | REDUCE: (46), (4181) imply:
% 177.56/26.50 | | | | | | | | | | | | | (4187) op(all_4_20, e4) = e2
% 177.56/26.50 | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | REDUCE: (789), (4181) imply:
% 177.56/26.50 | | | | | | | | | | | | | (4188) op(e4, e0) = all_10_14
% 177.56/26.50 | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | REDUCE: (806), (4181) imply:
% 177.56/26.50 | | | | | | | | | | | | | (4189) op(e2, e4) = all_10_39
% 177.56/26.50 | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | REDUCE: (27), (4181) imply:
% 177.56/26.50 | | | | | | | | | | | | | (4190) op(e2, e0) = e4
% 177.56/26.50 | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_4,
% 177.56/26.50 | | | | | | | | | | | | | all_10_39, e4, e2, simplifying with (31), (4189)
% 177.56/26.50 | | | | | | | | | | | | | gives:
% 177.56/26.50 | | | | | | | | | | | | | (4191) all_10_39 = all_4_4
% 177.56/26.50 | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_17,
% 177.56/26.50 | | | | | | | | | | | | | all_10_14, e0, e4, simplifying with (37), (4188)
% 177.56/26.50 | | | | | | | | | | | | | gives:
% 177.56/26.50 | | | | | | | | | | | | | (4192) all_10_14 = all_4_17
% 177.56/26.50 | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | BETA: splitting (239) gives:
% 177.56/26.50 | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | Case 1:
% 177.56/26.50 | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | (4193) all_8_4 = e4
% 177.56/26.50 | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | REF_CLOSE: (603), (4185), (4193) are inconsistent by
% 177.56/26.50 | | | | | | | | | | | | | | sub-proof #787.
% 177.56/26.50 | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | Case 2:
% 177.56/26.50 | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | (4194) ~ (all_8_4 = e4)
% 177.56/26.50 | | | | | | | | | | | | | | (4195) all_8_4 = e3 | all_8_4 = e2 | all_8_4 = e1 |
% 177.56/26.50 | | | | | | | | | | | | | | all_8_4 = e0
% 177.56/26.50 | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 177.56/26.50 | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | Case 1:
% 177.56/26.50 | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | (4196) all_8_11 = e4
% 177.56/26.50 | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | REF_CLOSE: (578), (2883), (4196) are inconsistent by
% 177.56/26.50 | | | | | | | | | | | | | | | sub-proof #562.
% 177.56/26.50 | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | Case 2:
% 177.56/26.50 | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | (4197) ~ (all_8_11 = e4)
% 177.56/26.50 | | | | | | | | | | | | | | | (4198) all_8_11 = e3 | all_8_11 = e2 | all_8_11 = e1 |
% 177.56/26.50 | | | | | | | | | | | | | | | all_8_11 = e0
% 177.56/26.50 | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 177.56/26.50 | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | Case 1:
% 177.56/26.50 | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | (4199) all_8_10 = e4
% 177.56/26.50 | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | COMBINE_EQS: (568), (4199) imply:
% 177.56/26.50 | | | | | | | | | | | | | | | | (4200) all_4_4 = e4
% 177.56/26.50 | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | REDUCE: (4182), (4200) imply:
% 177.56/26.50 | | | | | | | | | | | | | | | | (4201) $false
% 177.56/26.50 | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | CLOSE: (4201) is inconsistent.
% 177.56/26.50 | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | Case 2:
% 177.56/26.50 | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | (4202) ~ (all_8_10 = e4)
% 177.56/26.50 | | | | | | | | | | | | | | | | (4203) all_8_10 = e3 | all_8_10 = e2 | all_8_10 = e1 |
% 177.56/26.50 | | | | | | | | | | | | | | | | all_8_10 = e0
% 177.56/26.50 | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 177.56/26.50 | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | Case 1:
% 177.56/26.50 | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | (4204) all_8_16 = e4
% 177.56/26.50 | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | REF_CLOSE: (580), (2884), (4204) are inconsistent by
% 177.56/26.50 | | | | | | | | | | | | | | | | | sub-proof #767.
% 177.56/26.50 | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | Case 2:
% 177.56/26.50 | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | (4205) ~ (all_8_16 = e4)
% 177.56/26.50 | | | | | | | | | | | | | | | | | (4206) all_8_16 = e3 | all_8_16 = e2 | all_8_16 = e1 |
% 177.56/26.50 | | | | | | | | | | | | | | | | | all_8_16 = e0
% 177.56/26.50 | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 177.56/26.50 | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | Case 1:
% 177.56/26.50 | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | (4207) all_8_13 = e4
% 177.56/26.50 | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | REF_CLOSE: (598), (4184), (4207) are inconsistent by
% 177.56/26.50 | | | | | | | | | | | | | | | | | | sub-proof #785.
% 177.56/26.50 | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | Case 2:
% 177.56/26.50 | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | (4208) ~ (all_8_13 = e4)
% 177.56/26.50 | | | | | | | | | | | | | | | | | | (4209) all_8_13 = e3 | all_8_13 = e2 | all_8_13 = e1 |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | all_8_13 = e0
% 177.56/26.50 | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | BETA: splitting (360) gives:
% 177.56/26.50 | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | Case 1:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | (4210) all_12_20 = e2
% 177.56/26.50 | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (4210) imply:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | (4211) all_4_16 = e2
% 177.56/26.50 | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | SIMP: (4211) implies:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | (4212) all_4_16 = e2
% 177.56/26.50 | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (29), (30), (50), (363), (603), (659),
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | (821), (2883), (4183), (4184), (4195), (4212),
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | #501.
% 177.56/26.50 | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | Case 2:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | (4213) ~ (all_12_20 = e2)
% 177.56/26.50 | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | REDUCE: (657), (4213) imply:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | (4214) ~ (all_4_16 = e2)
% 177.56/26.50 | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | BETA: splitting (359) gives:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | Case 1:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | (4215) all_12_20 = e1
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (4215) imply:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | (4216) all_4_16 = e1
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | SIMP: (4216) implies:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | (4217) all_4_16 = e1
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | REDUCE: (670), (4217) imply:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | (4218) ~ (all_4_0 = e1)
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | REDUCE: (683), (4217) imply:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | (4219) ~ (all_4_4 = e1)
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | REDUCE: (4214), (4217) imply:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | (4220) ~ (e2 = e1)
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | REDUCE: (50), (4217) imply:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | (4221) op(e1, all_4_17) = e4
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | REDUCE: (771), (4217) imply:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | (4222) op(e1, e4) = all_10_20
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | REDUCE: (49), (4217) imply:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | (4223) op(all_4_17, e1) = e0
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | REDUCE: (812), (4217) imply:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | (4224) op(e0, e1) = all_10_45
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_22,
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | all_10_45, e1, e0, simplifying with (18), (4224)
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | gives:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | (4225) all_10_45 = all_4_22
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_9,
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | all_10_20, e4, e1, simplifying with (26), (4222)
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | gives:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | (4226) all_10_20 = all_4_9
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | BETA: splitting (329) gives:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | (4227) all_10_50 = e4
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (508), (4227) imply:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | (4228) all_4_0 = e4
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | SIMP: (4228) implies:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | (4229) all_4_0 = e4
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (4229) imply:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | (4230) all_12_0 = e4
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | REDUCE: (667), (4229) imply:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | (4231) ~ (all_4_1 = e4)
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | SIMP: (4231) implies:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | (4232) ~ (all_4_1 = e4)
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | REDUCE: (672), (4229) imply:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | (4233) ~ (all_4_5 = e4)
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | SIMP: (4233) implies:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | (4234) ~ (all_4_5 = e4)
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | REDUCE: (669), (4229) imply:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | (4235) ~ (all_4_9 = e4)
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | SIMP: (4235) implies:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | (4236) ~ (all_4_9 = e4)
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | REDUCE: (673), (4229) imply:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | (4237) ~ (all_4_10 = e4)
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | SIMP: (4237) implies:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | (4238) ~ (all_4_10 = e4)
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | REDUCE: (767), (4229) imply:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | (4239) op(e4, e4) = all_10_0
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | REDUCE: (41), (4229) imply:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | (4240) op(e4, e4) = e4
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_10_0,
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | e4, e4, simplifying with (4239), (4240) gives:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | (4241) all_10_0 = e4
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | (4242) all_8_5 = e4
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (566), (4242) imply:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | (4243) all_4_1 = e4
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4232), (4243) imply:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | (4244) $false
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4244) is inconsistent.
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | (4245) ~ (all_8_5 = e4)
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | (4246) all_8_5 = e3 | all_8_5 = e2 | all_8_5 = e1 |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | all_8_5 = e0
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | (4247) all_8_15 = e4
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (570), (4236), (4247) are inconsistent by
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #782.
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | (4248) all_8_15 = e3 | all_8_15 = e2 | all_8_15 = e1 |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | all_8_15 = e0
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (327) gives:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | (4249) all_10_51 = e4
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (512), (4232), (4249) are inconsistent by
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #472.
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | (4250) ~ (all_10_51 = e4)
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | (4251) all_10_56 = e3 | all_10_61 = e2 | all_10_66 = e1 |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | all_10_71 = e0
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (321) gives:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | (4252) all_10_65 = e4
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (528), (4238), (4252) are inconsistent by
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #790.
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | (4253) ~ (all_10_65 = e4)
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | (4254) all_10_66 = e3 | all_10_67 = e2 | all_10_68 = e1 |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | all_10_69 = e0
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (361) gives:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (4255) all_12_20 = e3
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4215), (4255) imply:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (4256) e3 = e1
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (4256) imply:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (4257) $false
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4257) is inconsistent.
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (4258) all_12_21 = e3 | all_12_22 = e3 | all_12_23 = e3 |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_24 = e3
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (391) gives:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4259) all_12_2 = e4
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (4232), (4259) are inconsistent by
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #695.
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4260) all_12_3 = e4 | all_12_5 = e4 | all_12_10 = e4 |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_17 = e4
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (322) gives:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4261) all_10_60 = e4
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (516), (4234), (4261) are inconsistent by
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #685.
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4262) ~ (all_10_60 = e4)
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4263) all_10_61 = e3 | all_10_62 = e2 | all_10_63 = e1 |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_64 = e0
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4264) all_8_3 = e4
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (594), (4238), (4264) are inconsistent by
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #789.
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4265) all_8_3 = e3 | all_8_3 = e2 | all_8_3 = e1 |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_3 = e0
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4266) all_8_2 = e4
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (4234), (4266) are inconsistent by
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #777.
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4267) all_8_2 = e3 | all_8_2 = e2 | all_8_2 = e1 |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_2 = e0
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (364) gives:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4268) all_12_16 = e2
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (4268) imply:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4269) all_4_17 = e2
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4269) implies:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4270) all_4_17 = e2
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4192), (4270) imply:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4271) all_10_14 = e2
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (703), (4270) imply:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4272) ~ (all_4_2 = e2)
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (746), (4270) imply:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4273) ~ (all_4_10 = e2)
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (759), (4270) imply:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4274) ~ (all_4_23 = e2)
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4274) implies:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4275) ~ (all_4_23 = e2)
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4223), (4270) imply:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4276) op(e2, e1) = e0
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (787), (4270) imply:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4277) op(e2, e0) = all_10_4
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4221), (4270) imply:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4278) op(e1, e2) = e4
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_13, e4,
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (24), (4278) gives:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4279) all_4_13 = e4
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_10_4,
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e2, simplifying with (4190), (4277) gives:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4280) all_10_4 = e4
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_14, e0,
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (28), (4276) gives:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4281) all_4_14 = e0
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (532), (4281) imply:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4282) all_10_67 = e0
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (435), (4279) imply:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4283) all_10_63 = e4
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (661), (4279) imply:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4284) all_12_14 = e4
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (4281) imply:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4285) ~ (all_4_4 = e0)
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (713), (4281) imply:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4286) ~ (all_4_6 = e0)
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (729), (4279) imply:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4287) ~ (all_4_7 = e4)
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (735), (4281) imply:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4288) ~ (all_4_8 = e0)
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (4281) imply:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4289) ~ (all_4_10 = e0)
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (747), (4281) imply:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4290) ~ (all_4_12 = e0)
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (751), (4281) imply:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4291) ~ (all_4_15 = e0)
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4291) implies:
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4292) ~ (all_4_15 = e0)
% 177.56/26.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (752), (4281) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4293) ~ (all_4_22 = e0)
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (780), (4279) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4294) op(e4, e2) = all_10_17
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (52), (4279), (4281) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4295) op(e0, e4) = e1
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (784), (4281) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4296) op(e0, e1) = all_10_13
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4260) gives:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4297) all_12_3 = e4
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (482), (4297) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4298) all_4_3 = e4
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2882), (4298) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4299) $false
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4299) is inconsistent.
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4300) all_12_5 = e4 | all_12_10 = e4 | all_12_17 = e4
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4300) gives:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4301) all_12_5 = e4
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (4287), (4301) are inconsistent by
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #566.
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4302) all_12_10 = e4 | all_12_17 = e4
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4302) gives:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4303) all_12_10 = e4
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (663), (4303) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4304) all_4_12 = e4
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4304) implies:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4305) all_4_12 = e4
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (472), (4305) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4306) all_10_66 = e4
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (4305) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4307) ~ (all_4_15 = e4)
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4307) implies:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4308) ~ (all_4_15 = e4)
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (750), (4305) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4309) ~ (all_4_19 = e4)
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (55), (4305) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4310) op(all_4_11, e4) = e3
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (54), (4305) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4311) op(e4, all_4_11) = e1
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (783), (4305) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4312) op(e4, e1) = all_10_8
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (800), (4305) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4313) op(e3, e4) = all_10_33
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4254) gives:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4314) all_10_66 = e3
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (4306), (4314) are inconsistent by sub-proof
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #445.
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4315) all_10_67 = e2 | all_10_68 = e1 | all_10_69 = e0
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4315) gives:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4316) all_10_67 = e2
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4282), (4316) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4317) e2 = e0
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (4317) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4318) $false
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4318) is inconsistent.
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4319) all_10_68 = e1 | all_10_69 = e0
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4319) gives:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4320) all_10_68 = e1
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (4320) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4321) all_4_15 = e1
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4321) implies:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4322) all_4_15 = e1
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (691), (4322) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4323) ~ (all_4_9 = e1)
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (4322) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4324) ~ (all_4_10 = e1)
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (717), (4322) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4325) ~ (all_4_11 = e1)
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (754), (4322) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4326) ~ (all_4_22 = e1)
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4326) implies:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4327) ~ (all_4_22 = e1)
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (755), (4322) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4328) ~ (all_4_23 = e1)
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4328) implies:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4329) ~ (all_4_23 = e1)
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4308), (4322) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4330) ~ (e4 = e1)
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (785), (4322) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4331) op(e1, e1) = all_10_18
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23), (4322) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4332) op(e1, e1) = e1
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (363) gives:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4333) all_12_16 = e1
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4268), (4333) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4334) e2 = e1
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (4334) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4335) $false
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4335) is inconsistent.
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4336) all_12_17 = e1 | all_12_18 = e1 | all_12_19 = e1 |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_24 = e1
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4336) gives:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4337) all_12_17 = e1
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (470), (4337) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4338) all_4_19 = e1
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (681), (4338) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4339) ~ (all_4_1 = e1)
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (788), (4338) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4340) op(e1, e0) = all_10_9
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3816) gives:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4341) all_8_19 = e3
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (551), (4341) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4342) all_4_23 = e3
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (790), (4342) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4343) op(e3, e0) = all_10_19
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4265) gives:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4344) all_8_3 = e3
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (594), (4344) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4345) all_4_10 = e3
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4345) implies:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4346) all_4_10 = e3
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (702), (4346) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4347) ~ (all_4_2 = e3)
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (745), (4346) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4348) ~ (all_4_22 = e3)
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4348) implies:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4349) ~ (all_4_22 = e3)
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4238), (4346) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4350) ~ (e4 = e3)
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (4346) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4351) op(all_4_9, e3) = e4
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (56), (4346) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4352) op(e3, all_4_9) = e1
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (782), (4346) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4353) op(e3, e1) = all_10_3
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (38), (4346) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4354) op(e4, e1) = e3
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2874) gives:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4355) all_8_23 = e3
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (602), (4349), (4355) are inconsistent by
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #458.
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4356) ~ (all_8_23 = e3)
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4357) all_8_23 = e2 | all_8_23 = e1 | all_8_23 = e0
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4357) gives:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4358) all_8_23 = e2
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (602), (4358) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4359) all_4_22 = e2
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4359) implies:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4360) all_4_22 = e2
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (786), (4360) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4361) op(e2, e1) = all_10_23
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4258) gives:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4362) all_12_21 = e3
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (2880), (4362) are inconsistent by sub-proof
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #495.
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4363) all_12_22 = e3 | all_12_23 = e3 | all_12_24 = e3
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4363) gives:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4364) all_12_22 = e3
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (655), (4364) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4365) all_4_20 = e3
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4365) implies:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4366) all_4_20 = e3
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (730), (4366) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4367) ~ (all_4_7 = e3)
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (734), (4366) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4368) ~ (all_4_8 = e3)
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (781), (4366) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4369) op(e3, e2) = all_10_22
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4263) gives:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4370) all_10_61 = e3
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (518), (4370) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4371) all_4_7 = e3
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4367), (4371) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4372) $false
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4372) is inconsistent.
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4373) all_10_62 = e2 | all_10_63 = e1 | all_10_64 = e0
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4373) gives:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4374) all_10_62 = e2
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (455), (4374) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4375) all_4_8 = e2
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (4375) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4376) ~ (all_4_4 = e2)
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (723), (4375) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4377) ~ (all_4_5 = e2)
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (712), (4375) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4378) ~ (all_4_6 = e2)
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4368), (4375) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4379) ~ (e3 = e2)
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (779), (4375) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4380) op(e2, e2) = all_10_12
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (29), (4375) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4381) op(e2, e2) = e2
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (383) gives:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4382) all_12_4 = e1
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (4382) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4383) all_4_5 = e1
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4383) implies:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4384) all_4_5 = e1
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (4384) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4385) op(all_4_4, e1) = e4
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (777), (4384) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4386) op(e1, e2) = all_10_2
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (794), (4384) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4387) op(e4, e1) = all_10_27
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (378) gives:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4388) all_12_6 = e1
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (665), (4219), (4388) are inconsistent by
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #769.
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4389) ~ (all_12_6 = e1)
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4390) all_12_7 = e1 | all_12_8 = e1 | all_12_11 = e1 |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_18 = e1
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2908) gives:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4391) all_10_56 = e3
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (514), (4391) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4392) all_4_3 = e3
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (705), (4392) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4393) ~ (all_4_11 = e3)
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4393) implies:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4394) ~ (all_4_11 = e3)
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (773), (4392) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4395) op(e3, e3) = all_10_6
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (35), (4392) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4396) op(e3, e3) = e3
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (398) gives:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4397) all_12_0 = e0
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4230), (4397) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4398) e4 = e0
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (4398) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4399) $false
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4399) is inconsistent.
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4400) ~ (all_12_0 = e0)
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4401) all_12_1 = e0 | all_12_4 = e0 | all_12_9 = e0 |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_16 = e0
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (382) gives:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4402) all_12_4 = e0
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4382), (4402) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4403) e1 = e0
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (4403) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4404) $false
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4404) is inconsistent.
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4405) all_12_5 = e0 | all_12_8 = e0 | all_12_14 = e0 |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_22 = e0
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4405) gives:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4406) all_12_5 = e0
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (4406) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4407) all_4_7 = e0
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4407) implies:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4408) all_4_7 = e0
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (679), (4408) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4409) ~ (all_4_1 = e0)
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (60), (4408) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4410) op(all_4_6, e0) = e3
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (59), (4408) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4411) op(e0, all_4_6) = e2
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (778), (4408) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4412) op(e0, e2) = all_10_7
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (34), (4408) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4413) op(e3, e2) = e0
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (380) gives:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4414) all_12_6 = e3
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (4414) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4415) all_4_4 = e3
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4415) implies:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4416) all_4_4 = e3
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (675), (4416) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4417) ~ (all_4_1 = e3)
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (682), (4416) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4418) ~ (all_4_9 = e3)
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4418) implies:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4419) ~ (all_4_9 = e3)
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (769), (4416) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4420) op(e3, e4) = all_10_10
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4385), (4416) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4421) op(e3, e1) = e4
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (802), (4416) imply:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4422) op(e2, e3) = all_10_35
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4246) gives:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4423) all_8_5 = e3
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (566), (4417), (4423) are inconsistent by
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #764.
% 177.56/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4424) all_8_5 = e2 | all_8_5 = e1 | all_8_5 = e0
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4424) gives:
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4425) all_8_5 = e2
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (566), (4425) imply:
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4426) all_4_1 = e2
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4426) implies:
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4427) all_4_1 = e2
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (676), (4427) imply:
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4428) ~ (all_4_9 = e2)
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4428) implies:
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4429) ~ (all_4_9 = e2)
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (768), (4427) imply:
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4430) op(e2, e4) = all_10_5
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (64), (4427) imply:
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4431) op(all_4_2, e2) = e3
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (797), (4427) imply:
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4432) op(e3, e2) = all_10_30
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (4427) imply:
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4433) op(e3, e4) = e2
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4390) gives:
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4434) all_12_7 = e1
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (462), (4434) imply:
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4435) all_4_6 = e1
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (698), (4435) imply:
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4436) ~ (all_4_2 = e1)
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (710), (4435) imply:
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4437) ~ (all_4_11 = e1)
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (774), (4435) imply:
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4438) op(e1, e3) = all_10_11
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4410), (4435) imply:
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4439) op(e1, e0) = e3
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (30), (4435) imply:
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4440) op(e2, e3) = e1
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4411), (4435) imply:
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4441) op(e0, e1) = e2
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2911) gives:
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4442) all_8_1 = e3
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (574), (4347), (4442) are inconsistent by
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #747.
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4443) all_8_1 = e2 | all_8_1 = e1 | all_8_1 = e0
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4443) gives:
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4444) all_8_1 = e2
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (574), (4272), (4444) are inconsistent by
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #746.
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4445) all_8_1 = e1 | all_8_1 = e0
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4401) gives:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4446) all_12_1 = e0
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (4446) imply:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4447) all_4_2 = e0
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2895), (4447) imply:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4448) all_10_21 = e0
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (772), (4447) imply:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4449) op(e0, e3) = all_10_1
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4431), (4447) imply:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4450) op(e0, e2) = e3
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (367) gives:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4451) all_12_12 = e0
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (4451) imply:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4452) all_4_9 = e0
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4452) implies:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4453) all_4_9 = e0
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4226), (4453) imply:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4454) all_10_20 = e0
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (770), (4453) imply:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4455) op(e0, e4) = all_10_15
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4352), (4453) imply:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4456) op(e3, e0) = e1
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4206) gives:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4457) all_8_16 = e3
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (580), (4394), (4457) are inconsistent by
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #766.
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4458) all_8_16 = e2 | all_8_16 = e1 | all_8_16 = e0
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4458) gives:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4459) all_8_16 = e2
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (580), (4459) imply:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4460) all_4_11 = e2
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4460) implies:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4461) all_4_11 = e2
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4310), (4461) imply:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4462) op(e2, e4) = e3
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (775), (4461) imply:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4463) op(e2, e3) = all_10_16
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4311), (4461) imply:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4464) op(e4, e2) = e1
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (808), (4461) imply:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4465) op(e1, e2) = all_10_41
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (25), (4461) imply:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4466) op(e1, e3) = e2
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_13, e1, e0, simplifying with (4296), (4441)
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4467) all_10_13 = e2
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_10_7,
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (4412), (4450) gives:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4468) all_10_7 = e3
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_10_1,
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (2893), (4449) gives:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4469) all_10_1 = e4
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_15, e4, e0, simplifying with (4295), (4455)
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4470) all_10_15 = e1
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_10_9,
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e1, simplifying with (4340), (4439) gives:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4471) all_10_9 = e3
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_18, e1, e1, simplifying with (4331), (4332)
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4472) all_10_18 = e1
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_10_2,
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (4278), (4386) gives:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4473) all_10_2 = e4
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_41,
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_2, e2, e1, simplifying with (4386), (4465)
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4474) all_10_2 = all_10_41
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_11, e3, e1, simplifying with (4438), (4466)
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4475) all_10_11 = e2
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_23, e1, e2, simplifying with (4276), (4361)
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4476) all_10_23 = e0
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_12, e2, e2, simplifying with (4380), (4381)
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4477) all_10_12 = e2
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_35,
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_16, e3, e2, simplifying with (4422), (4463)
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4478) all_10_16 = all_10_35
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_16, e3, e2, simplifying with (4440), (4463)
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4479) all_10_16 = e1
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_10_5,
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e2, simplifying with (4430), (4462) gives:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4480) all_10_5 = e3
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_19, e0, e3, simplifying with (4343), (4456)
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4481) all_10_19 = e1
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_10_3,
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (4353), (4421) gives:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4482) all_10_3 = e4
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_30,
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_22, e2, e3, simplifying with (4369), (4432)
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4483) all_10_22 = all_10_30
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_22, e2, e3, simplifying with (4369), (4413)
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4484) all_10_22 = e0
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_10_6,
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (4395), (4396) gives:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4485) all_10_6 = e3
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_33,
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_10, e4, e3, simplifying with (4313), (4420)
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4486) all_10_10 = all_10_33
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_10, e4, e3, simplifying with (4420), (4433)
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4487) all_10_10 = e2
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_27,
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_8, e1, e4, simplifying with (4312), (4387)
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4488) all_10_8 = all_10_27
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_10_8,
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e4, simplifying with (4312), (4354) gives:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4489) all_10_8 = e3
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_17, e2, e4, simplifying with (4294), (4464)
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4490) all_10_17 = e1
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4473), (4474) imply:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4491) all_10_41 = e4
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4488), (4489) imply:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4492) all_10_27 = e3
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4486), (4487) imply:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4493) all_10_33 = e2
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4478), (4479) imply:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4494) all_10_35 = e1
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4483), (4484) imply:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4495) all_10_30 = e0
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (331), (832), (4241), (4271), (4280), (4448),
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4454), (4467), (4468), (4469), (4470), (4471),
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4472), (4473), (4475), (4476), (4477), (4479),
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4480), (4481), (4482), (4484), (4485), (4487),
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4489), (4490) are inconsistent by sub-proof #666.
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4496) all_8_16 = e1 | all_8_16 = e0
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (570), (580), (689), (4248), (4323), (4325),
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4419), (4429), (4496) are inconsistent by
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #727.
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4497) ~ (all_12_12 = e0)
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (446), (4497) imply:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4498) ~ (all_4_9 = e0)
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (570), (4236), (4248), (4352), (4419), (4421),
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4429), (4498), (function-axioms) are inconsistent
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #443.
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4499) ~ (all_12_1 = e0)
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (666), (4499) imply:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4500) ~ (all_4_2 = e0)
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (574), (4436), (4445), (4500) are inconsistent by
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #596.
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4501) ~ (all_12_7 = e1)
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (462), (568), (578), (684), (4198), (4203),
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4219), (4285), (4286), (4376), (4378), (4501) are
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #442.
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4502) all_8_5 = e1 | all_8_5 = e0
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (566), (4339), (4409), (4502) are inconsistent by
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #658.
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4503) ~ (all_12_6 = e3)
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (665), (4503) imply:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4504) ~ (all_4_4 = e3)
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (28), (379), (568), (665), (2875), (4184),
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4203), (4219), (4385), (4504), (function-axioms)
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #440.
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4505) all_12_8 = e0 | all_12_14 = e0 | all_12_22 = e0
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10), (11), (12), (415), (455), (514), (518),
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (547), (655), (664), (707), (734), (823), (824),
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4251), (4263), (4283), (4284), (4306), (4505) are
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #434.
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4506) all_10_57 = e2 | all_10_58 = e1 | all_10_59 = e0
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (439), (523), (2879), (4325), (4378), (4506)
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #484.
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4507) ~ (all_12_4 = e1)
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (498), (4507) imply:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4508) ~ (all_4_5 = e1)
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (378) gives:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4509) all_12_6 = e1
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (665), (4219), (4509) are inconsistent by
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #769.
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4510) ~ (all_12_6 = e1)
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4511) all_12_7 = e1 | all_12_8 = e1 | all_12_11 = e1 |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_18 = e1
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4511) gives:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4512) all_12_7 = e1
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (462), (4512) imply:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4513) all_4_6 = e1
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (698), (4513) imply:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4514) ~ (all_4_2 = e1)
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (380) gives:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4515) all_12_6 = e3
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (4515) imply:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4516) all_4_4 = e3
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4516) implies:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4517) all_4_4 = e3
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (4517) imply:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4518) op(e3, all_4_5) = e4
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (574), (583), (701), (2882), (2911), (4267),
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4272), (4347), (4377), (4508), (4514), (4518),
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #433.
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4519) ~ (all_12_6 = e3)
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (665), (4519) imply:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4520) ~ (all_4_4 = e3)
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (568), (4203), (4219), (4285), (4376), (4520) are
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #554.
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4521) ~ (all_12_7 = e1)
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (462), (568), (578), (684), (4198), (4203),
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4219), (4285), (4286), (4376), (4378), (4521) are
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #442.
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4522) all_10_63 = e1 | all_10_64 = e0
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (415), (824), (4283), (4522) are
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #671.
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4523) all_12_23 = e3 | all_12_24 = e3
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (414), (817), (4349), (4523) are inconsistent
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #481.
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4524) all_8_23 = e1 | all_8_23 = e0
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (602), (826), (4327), (4524) are inconsistent by
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #454.
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4525) all_8_3 = e2 | all_8_3 = e1 | all_8_3 = e0
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (594), (4273), (4289), (4324), (4525) are
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #447.
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4526) all_8_19 = e2 | all_8_19 = e1 | all_8_19 = e0
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (551), (827), (4275), (4329), (4526) are
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #720.
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4527) all_12_18 = e1 | all_12_19 = e1 | all_12_24 = e1
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12), (430), (817), (4180), (4329), (4527)
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #431.
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4528) all_10_69 = e0
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (560), (826), (4528) are inconsistent by sub-proof
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #430.
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4529) all_12_17 = e4
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (470), (2919), (4529) are inconsistent by
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #429.
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4530) ~ (all_12_16 = e2)
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (659), (4530) imply:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4531) ~ (all_4_17 = e2)
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (365) gives:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4532) all_12_16 = e3
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (4532) imply:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4533) all_4_17 = e3
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4221), (4533) imply:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4534) op(e1, e3) = e4
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (2884), (4534), (function-axioms) are
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #694.
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4535) ~ (all_12_16 = e3)
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (659), (4535) imply:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4536) ~ (all_4_17 = e3)
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (23), (603), (821), (4195), (4221), (4223),
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4531), (4536), (function-axioms) are inconsistent
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #707.
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | (4537) ~ (all_10_50 = e4)
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | REDUCE: (508), (4537) imply:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | (4538) ~ (all_4_0 = e4)
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (35), (66), (243), (401), (404), (506),
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | (564), (830), (2882), (4183), (4218), (4538),
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | #428.
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | (4539) ~ (all_12_20 = e1)
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | REDUCE: (657), (4539) imply:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | (4540) ~ (all_4_16 = e1)
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2903) gives:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | (4541) all_8_20 = e3
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (572), (4541) imply:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | (4542) all_4_16 = e3
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | SIMP: (4542) implies:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | (4543) all_4_16 = e3
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2894), (4543) imply:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | (4544) all_10_46 = e3
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (4543) imply:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | (4545) all_12_20 = e3
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | REDUCE: (670), (4543) imply:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | (4546) ~ (all_4_0 = e3)
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | REDUCE: (677), (4543) imply:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | (4547) ~ (all_4_1 = e3)
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | REDUCE: (683), (4543) imply:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | (4548) ~ (all_4_4 = e3)
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | REDUCE: (688), (4543) imply:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | (4549) ~ (all_4_9 = e3)
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | REDUCE: (694), (4543) imply:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | (4550) ~ (all_4_20 = e3)
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | SIMP: (4550) implies:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | (4551) ~ (all_4_20 = e3)
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | REDUCE: (695), (4543) imply:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | (4552) ~ (all_4_22 = e3)
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | SIMP: (4552) implies:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | (4553) ~ (all_4_22 = e3)
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2885), (4543) imply:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | (4554) ~ (e4 = e3)
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | REDUCE: (50), (4543) imply:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | (4555) op(e3, all_4_17) = e4
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | REDUCE: (49), (4543) imply:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | (4556) op(all_4_17, e3) = e0
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | REDUCE: (812), (4543) imply:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | (4557) op(e0, e3) = all_10_45
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4,
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | all_10_45, e3, e0, simplifying with (2893), (4557)
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | gives:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | (4558) all_10_45 = e4
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (329) gives:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | (4559) all_10_50 = e4
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (508), (4559) imply:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | (4560) all_4_0 = e4
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (4560) imply:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | (4561) all_12_0 = e4
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (667), (4560) imply:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | (4562) ~ (all_4_1 = e4)
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | SIMP: (4562) implies:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | (4563) ~ (all_4_1 = e4)
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (668), (4560) imply:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | (4564) ~ (all_4_4 = e4)
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (672), (4560) imply:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | (4565) ~ (all_4_5 = e4)
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | SIMP: (4565) implies:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | (4566) ~ (all_4_5 = e4)
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (669), (4560) imply:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | (4567) ~ (all_4_9 = e4)
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | SIMP: (4567) implies:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | (4568) ~ (all_4_9 = e4)
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (673), (4560) imply:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | (4569) ~ (all_4_10 = e4)
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | SIMP: (4569) implies:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | (4570) ~ (all_4_10 = e4)
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (674), (4560) imply:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | (4571) ~ (all_4_17 = e4)
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (767), (4560) imply:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | (4572) op(e4, e4) = all_10_0
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (792), (4560) imply:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | (4573) op(e4, e4) = all_10_25
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (41), (4560) imply:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | (4574) op(e4, e4) = e4
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_25,
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | all_10_0, e4, e4, simplifying with (4572), (4573)
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | gives:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | (4575) all_10_0 = all_10_25
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_10_0,
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | e4, e4, simplifying with (4572), (4574) gives:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | (4576) all_10_0 = e4
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4575), (4576) imply:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | (4577) all_10_25 = e4
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | SIMP: (4577) implies:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | (4578) all_10_25 = e4
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | (4579) all_8_15 = e4
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (570), (4568), (4579) are inconsistent by
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #782.
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | (4580) ~ (all_8_15 = e4)
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | (4581) all_8_15 = e3 | all_8_15 = e2 | all_8_15 = e1 |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | all_8_15 = e0
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | (4582) all_8_5 = e4
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (566), (4582) imply:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | (4583) all_4_1 = e4
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4563), (4583) imply:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | (4584) $false
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4584) is inconsistent.
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | (4585) ~ (all_8_5 = e4)
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | (4586) all_8_5 = e3 | all_8_5 = e2 | all_8_5 = e1 |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | all_8_5 = e0
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (322) gives:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | (4587) all_10_60 = e4
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (516), (4566), (4587) are inconsistent by
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #685.
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | (4588) ~ (all_10_60 = e4)
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | (4589) all_10_61 = e3 | all_10_62 = e2 | all_10_63 = e1 |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | all_10_64 = e0
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (371) gives:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | (4590) all_12_12 = e4
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (4568), (4590) are inconsistent by
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #613.
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | (4591) ~ (all_12_12 = e4)
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | (4592) all_12_13 = e4 | all_12_14 = e4 | all_12_15 = e4 |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_19 = e4
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (327) gives:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4593) all_10_51 = e4
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (512), (4593) imply:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4594) all_4_1 = e4
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4563), (4594) imply:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4595) $false
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4595) is inconsistent.
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4596) all_10_56 = e3 | all_10_61 = e2 | all_10_66 = e1 |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_71 = e0
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (325) gives:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4597) all_10_53 = e4
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (534), (4568), (4597) are inconsistent by
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #779.
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4598) all_10_58 = e3 | all_10_63 = e2 | all_10_68 = e1 |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_73 = e0
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4599) all_8_2 = e4
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (4566), (4599) are inconsistent by
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #777.
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4600) all_8_2 = e3 | all_8_2 = e2 | all_8_2 = e1 |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_2 = e0
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4601) all_8_3 = e4
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (594), (4570), (4601) are inconsistent by
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #789.
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4602) all_8_3 = e3 | all_8_3 = e2 | all_8_3 = e1 |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_3 = e0
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (365) gives:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4603) all_12_16 = e3
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (4603) imply:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4604) all_4_17 = e3
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4555), (4604) imply:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4605) op(e3, e3) = e4
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (2882), (4605), (function-axioms) are
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #704.
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4606) ~ (all_12_16 = e3)
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4607) all_12_17 = e3 | all_12_18 = e3 | all_12_19 = e3 |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_24 = e3
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (659), (4606) imply:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4608) ~ (all_4_17 = e3)
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (364) gives:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4609) all_12_16 = e2
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (4609) imply:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4610) all_4_17 = e2
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4555), (4610) imply:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4611) op(e3, e2) = e4
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_7, e4,
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (34), (4611) gives:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4612) all_4_7 = e4
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (729), (4612) imply:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4613) ~ (all_4_13 = e4)
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4613) implies:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4614) ~ (all_4_13 = e4)
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (41), (51), (430), (660), (661), (662),
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2884), (3817), (4574), (4592), (4614),
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #427.
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4615) ~ (all_12_16 = e2)
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4616) all_12_17 = e2 | all_12_18 = e2 | all_12_19 = e2 |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_24 = e2
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (659), (4615) imply:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4617) ~ (all_4_17 = e2)
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4195) gives:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4618) all_8_4 = e3
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (603), (4608), (4618) are inconsistent by
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #711.
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4619) ~ (all_8_4 = e3)
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4620) all_8_4 = e2 | all_8_4 = e1 | all_8_4 = e0
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4620) gives:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4621) all_8_4 = e2
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (603), (4617), (4621) are inconsistent by
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #710.
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4622) all_8_4 = e1 | all_8_4 = e0
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4622) gives:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4623) all_8_4 = e1
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (603), (4623) imply:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4624) all_4_17 = e1
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4624) implies:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4625) all_4_17 = e1
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (4625) imply:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4626) all_12_16 = e1
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (703), (4625) imply:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4627) ~ (all_4_2 = e1)
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (727), (4625) imply:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4628) ~ (all_4_5 = e1)
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4185), (4625) imply:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4629) ~ (e4 = e1)
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4608), (4625) imply:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4630) ~ (e3 = e1)
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4556), (4625) imply:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4631) op(e1, e3) = e0
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (796), (4625) imply:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4632) op(e4, e1) = all_10_29
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4555), (4625) imply:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4633) op(e3, e1) = e4
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_11, e0,
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (25), (4631) gives:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4634) all_4_11 = e0
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_12, e4,
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (33), (4633) gives:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4635) all_4_12 = e4
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_10,
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_29, e1, e4, simplifying with (38), (4632)
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4636) all_10_29 = all_4_10
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (472), (4635) imply:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4637) all_10_66 = e4
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (4634) imply:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4638) all_10_58 = e0
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (662), (4634) imply:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4639) all_12_13 = e0
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (699), (4634) imply:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4640) ~ (all_4_2 = e0)
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (705), (4634) imply:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4641) ~ (all_4_3 = e0)
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (689), (4634) imply:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4642) ~ (all_4_9 = e0)
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (4634) imply:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4643) ~ (all_4_13 = e0)
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4643) implies:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4644) ~ (all_4_13 = e0)
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (717), (4634) imply:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4645) ~ (all_4_15 = e0)
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4645) implies:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4646) ~ (all_4_15 = e0)
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (718), (4634) imply:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4647) ~ (all_4_23 = e0)
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2884), (4634) imply:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4648) ~ (e4 = e0)
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (747), (4635) imply:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4649) ~ (all_4_14 = e4)
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (54), (4634), (4635) imply:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4650) op(e4, e0) = e1
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (800), (4635) imply:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4651) op(e3, e4) = all_10_33
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (808), (4634) imply:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4652) op(e1, e0) = all_10_41
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4592) gives:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4653) all_12_13 = e4
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4639), (4653) imply:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4654) e4 = e0
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (4654) imply:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4655) $false
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4655) is inconsistent.
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4656) all_12_14 = e4 | all_12_15 = e4 | all_12_19 = e4
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4656) gives:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4657) all_12_14 = e4
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (661), (4657) imply:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4658) all_4_13 = e4
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4658) implies:
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4659) all_4_13 = e4
% 177.87/26.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (435), (4659) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4660) all_10_63 = e4
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (738), (4659) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4661) ~ (all_4_15 = e4)
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4661) implies:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4662) ~ (all_4_15 = e4)
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (53), (4659) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4663) op(e4, all_4_14) = e2
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (780), (4659) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4664) op(e4, e2) = all_10_17
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (52), (4659) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4665) op(all_4_14, e4) = e1
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (809), (4659) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4666) op(e1, e4) = all_10_42
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4598) gives:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4667) all_10_58 = e3
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4638), (4667) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4668) e3 = e0
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (4668) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4669) $false
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4669) is inconsistent.
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4670) ~ (all_10_58 = e3)
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4671) all_10_63 = e2 | all_10_68 = e1 | all_10_73 = e0
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4638), (4670) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4672) ~ (e3 = e0)
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4671) gives:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4673) all_10_63 = e2
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (4660), (4673) are inconsistent by sub-proof
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #768.
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4674) all_10_68 = e1 | all_10_73 = e0
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4674) gives:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4675) all_10_68 = e1
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (4675) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4676) all_4_15 = e1
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4676) implies:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4677) all_4_15 = e1
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (660), (4677) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4678) all_12_15 = e1
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (691), (4677) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4679) ~ (all_4_9 = e1)
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (4677) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4680) ~ (all_4_10 = e1)
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (751), (4677) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4681) ~ (all_4_14 = e1)
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (754), (4677) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4682) ~ (all_4_22 = e1)
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4682) implies:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4683) ~ (all_4_22 = e1)
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (785), (4677) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4684) op(e1, e1) = all_10_18
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (810), (4677) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4685) op(e1, e1) = all_10_43
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23), (4677) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4686) op(e1, e1) = e1
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2874) gives:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4687) all_8_23 = e3
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (602), (4687) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4688) all_4_22 = e3
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4553), (4688) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4689) $false
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4689) is inconsistent.
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4690) all_8_23 = e2 | all_8_23 = e1 | all_8_23 = e0
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (370) gives:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4691) all_12_12 = e3
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (4549), (4691) are inconsistent by
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #650.
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4692) ~ (all_12_12 = e3)
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4693) all_12_13 = e3 | all_12_14 = e3 | all_12_15 = e3 |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_19 = e3
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4581) gives:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4694) all_8_15 = e3
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (570), (4694) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4695) all_4_9 = e3
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4549), (4695) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4696) $false
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4696) is inconsistent.
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4697) ~ (all_8_15 = e3)
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4698) all_8_15 = e2 | all_8_15 = e1 | all_8_15 = e0
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4698) gives:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4699) all_8_15 = e2
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (570), (4699) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4700) all_4_9 = e2
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (692), (4700) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4701) ~ (all_4_23 = e2)
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4701) implies:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4702) ~ (all_4_23 = e2)
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4568), (4700) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4703) ~ (e4 = e2)
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4549), (4700) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4704) ~ (e3 = e2)
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (4700) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4705) op(e2, all_4_10) = e4
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (807), (4700) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4706) op(e1, e2) = all_10_40
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4616) gives:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4707) all_12_17 = e2
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (470), (4707) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4708) all_4_19 = e2
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (681), (4708) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4709) ~ (all_4_1 = e2)
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (732), (4708) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4710) ~ (all_4_7 = e2)
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (788), (4708) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4711) op(e2, e0) = all_10_9
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (801), (4708) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4712) op(e3, e2) = all_10_34
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4607) gives:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4713) all_12_17 = e3
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4707), (4713) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4714) e3 = e2
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4714) implies:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4715) e3 = e2
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (4715) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4716) $false
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4716) is inconsistent.
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4717) all_12_18 = e3 | all_12_19 = e3 | all_12_24 = e3
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4690) gives:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4718) all_8_23 = e2
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (602), (4718) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4719) all_4_22 = e2
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (745), (4719) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4720) ~ (all_4_10 = e2)
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (740), (4719) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4721) ~ (all_4_20 = e2)
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (44), (4719) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4722) op(e2, all_4_23) = e1
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (786), (4719) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4723) op(e2, e1) = all_10_23
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (815), (4719) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4724) op(e0, e2) = all_10_48
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4596) gives:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4725) all_10_56 = e3
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (514), (4725) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4726) all_4_3 = e3
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (482), (4726) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4727) all_12_3 = e3
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (707), (4726) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4728) ~ (all_4_7 = e3)
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4728) implies:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4729) ~ (all_4_7 = e3)
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (773), (4726) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4730) op(e3, e3) = all_10_6
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (798), (4726) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4731) op(e3, e3) = all_10_31
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (35), (4726) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4732) op(e3, e3) = e3
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2898) gives:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4733) all_8_22 = e3
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (592), (4551), (4733) are inconsistent by
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #426.
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4734) all_8_22 = e2 | all_8_22 = e1 | all_8_22 = e0
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4717) gives:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4735) all_12_18 = e3
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4180), (4735) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4736) e4 = e3
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (4736) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4737) $false
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4737) is inconsistent.
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4738) all_12_19 = e3 | all_12_24 = e3
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4738) gives:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4739) all_12_19 = e3
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (430), (4739) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4740) all_4_23 = e3
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (790), (4740) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4741) op(e3, e0) = all_10_19
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4722), (4740) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4742) op(e2, e3) = e1
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (811), (4740) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4743) op(e1, e3) = all_10_44
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4734) gives:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4744) all_8_22 = e2
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (592), (4721), (4744) are inconsistent by
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #494.
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4745) all_8_22 = e1 | all_8_22 = e0
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4589) gives:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4746) all_10_61 = e3
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (518), (4729), (4746) are inconsistent by
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #457.
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4747) all_10_62 = e2 | all_10_63 = e1 | all_10_64 = e0
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4747) gives:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4748) all_10_62 = e2
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (455), (4748) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4749) all_4_8 = e2
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4749) implies:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4750) all_4_8 = e2
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (4750) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4751) ~ (all_4_4 = e2)
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (723), (4750) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4752) ~ (all_4_5 = e2)
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (735), (4750) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4753) ~ (all_4_14 = e2)
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4753) implies:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4754) ~ (all_4_14 = e2)
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (779), (4750) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4755) op(e2, e2) = all_10_12
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (804), (4750) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4756) op(e2, e2) = all_10_37
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (29), (4750) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4757) op(e2, e2) = e2
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (385) gives:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4758) all_12_4 = e3
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (4758) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4759) all_4_5 = e3
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (701), (4759) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4760) ~ (all_4_2 = e3)
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (726), (4759) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4761) ~ (all_4_10 = e3)
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4761) implies:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4762) ~ (all_4_10 = e3)
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (61), (4759) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4763) op(e3, all_4_4) = e2
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (777), (4759) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4764) op(e3, e2) = all_10_2
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (794), (4759) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4765) op(e4, e3) = all_10_27
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (4759) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4766) op(e4, e2) = e3
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (394) gives:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4767) all_12_1 = e2
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (4767) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4768) all_4_2 = e2
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (698), (4768) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4769) ~ (all_4_6 = e2)
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4769) implies:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4770) ~ (all_4_6 = e2)
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (65), (4768) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4771) op(all_4_1, e2) = e4
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (772), (4768) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4772) op(e2, e3) = all_10_1
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (793), (4768) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4773) op(e4, e2) = all_10_26
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (398) gives:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4774) all_12_0 = e0
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4561), (4774) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4775) e4 = e0
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (4775) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4776) $false
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4776) is inconsistent.
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4777) all_12_1 = e0 | all_12_4 = e0 | all_12_9 = e0 |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_16 = e0
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4777) gives:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4778) all_12_1 = e0
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4767), (4778) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4779) e2 = e0
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4748), (4779) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4780) all_10_62 = e0
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10), (12), (415), (514), (518), (547),
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (707), (823), (824), (4589), (4596), (4637),
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4660), (4780) are inconsistent by sub-proof #436.
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4781) all_12_4 = e0 | all_12_9 = e0 | all_12_16 = e0
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4781) gives:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4782) all_12_4 = e0
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4758), (4782) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4783) e3 = e0
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (4783) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4784) $false
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4784) is inconsistent.
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4785) all_12_9 = e0 | all_12_16 = e0
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4785) gives:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4786) all_12_9 = e0
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (4786) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4787) all_4_10 = e0
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4636), (4787) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4788) all_10_29 = e0
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (782), (4787) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4789) op(e0, e1) = all_10_3
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (795), (4787) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4790) op(e4, e0) = all_10_28
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (377) gives:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4791) all_12_6 = e0
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (4791) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4792) all_4_4 = e0
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4792) implies:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4793) all_4_4 = e0
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4191), (4793) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4794) all_10_39 = e0
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (675), (4793) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4795) ~ (all_4_1 = e0)
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (4793) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4796) ~ (all_4_6 = e0)
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4796) implies:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4797) ~ (all_4_6 = e0)
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (4793) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4798) ~ (all_4_14 = e0)
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4798) implies:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4799) ~ (all_4_14 = e0)
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4751), (4793) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4800) ~ (e2 = e0)
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4763), (4793) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4801) op(e3, e0) = e2
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (802), (4793) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4802) op(e2, e0) = all_10_35
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (399) gives:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4803) all_12_0 = e1
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4561), (4803) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4804) e4 = e1
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (4804) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4805) $false
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4805) is inconsistent.
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4806) all_12_2 = e1 | all_12_6 = e1 | all_12_12 = e1 |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_20 = e1
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4806) gives:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4807) all_12_2 = e1
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (4807) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4808) all_4_1 = e1
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4808) implies:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4809) all_4_1 = e1
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (768), (4809) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4810) op(e1, e4) = all_10_5
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4771), (4809) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4811) op(e1, e2) = e4
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (797), (4809) imply:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4812) op(e3, e1) = all_10_30
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (378) gives:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4813) all_12_6 = e1
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4791), (4813) imply:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4814) e1 = e0
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (4814) imply:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4815) $false
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4815) is inconsistent.
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4816) ~ (all_12_6 = e1)
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4817) all_12_7 = e1 | all_12_8 = e1 | all_12_11 = e1 |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_18 = e1
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4791), (4816) imply:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4818) ~ (e1 = e0)
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (382) gives:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4819) all_12_4 = e0
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4758), (4819) imply:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4820) e3 = e0
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (4820) imply:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4821) $false
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4821) is inconsistent.
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4822) all_12_5 = e0 | all_12_8 = e0 | all_12_14 = e0 |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_22 = e0
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (387) gives:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4823) all_12_2 = e0
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4807), (4823) are inconsistent by sub-proof
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #425.
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4824) all_12_3 = e0 | all_12_5 = e0 | all_12_10 = e0 |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_17 = e0
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4209) gives:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4825) all_8_13 = e3
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (598), (4825) imply:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4826) all_4_14 = e3
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4826) implies:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4827) all_4_14 = e3
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (713), (4827) imply:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4828) ~ (all_4_6 = e3)
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4665), (4827) imply:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4829) op(e3, e4) = e1
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (784), (4827) imply:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4830) op(e3, e1) = all_10_13
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4663), (4827) imply:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4831) op(e4, e3) = e2
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (805), (4827) imply:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4832) op(e2, e3) = all_10_38
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (28), (4827) imply:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4833) op(e2, e1) = e3
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4198) gives:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4834) all_8_11 = e3
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (578), (4828), (4834) are inconsistent by
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #558.
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4835) all_8_11 = e2 | all_8_11 = e1 | all_8_11 = e0
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4817) gives:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4836) all_12_7 = e1
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (462), (4836) imply:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4837) all_4_6 = e1
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (60), (4837) imply:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4838) op(e1, all_4_7) = e3
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (774), (4837) imply:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4839) op(e1, e3) = all_10_11
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (59), (4837) imply:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4840) op(all_4_7, e1) = e2
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (803), (4837) imply:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4841) op(e2, e1) = all_10_36
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4745) gives:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4842) all_8_22 = e1
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (592), (4842) imply:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4843) all_4_20 = e1
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4843) implies:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4844) all_4_20 = e1
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4187), (4844) imply:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4845) op(e1, e4) = e2
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (781), (4844) imply:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4846) op(e1, e2) = all_10_22
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (814), (4844) imply:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4847) op(e0, e1) = all_10_47
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (4844) imply:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4848) op(e0, e2) = e1
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4824) gives:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4849) all_12_3 = e0
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4727), (4849) imply:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4850) e3 = e0
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (4850) imply:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4851) $false
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4851) is inconsistent.
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4852) all_12_5 = e0 | all_12_10 = e0 | all_12_17 = e0
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4852) gives:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4853) all_12_5 = e0
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (4853) imply:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4854) all_4_7 = e0
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4854) implies:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4855) all_4_7 = e0
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (778), (4855) imply:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4856) op(e0, e2) = all_10_7
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4840), (4855) imply:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4857) op(e0, e1) = e2
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (799), (4855) imply:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4858) op(e3, e0) = all_10_32
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (34), (4855) imply:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4859) op(e3, e2) = e0
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4838), (4855) imply:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4860) op(e1, e0) = e3
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_47,
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_3, e1, e0, simplifying with (4789), (4847)
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4861) all_10_3 = all_10_47
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_10_3,
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, simplifying with (4789), (4857) gives:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4862) all_10_3 = e2
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_48,
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_7, e2, e0, simplifying with (4724), (4856)
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4863) all_10_7 = all_10_48
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_10_7,
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (4848), (4856) gives:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4864) all_10_7 = e1
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_41, e0, e1, simplifying with (4652), (4860)
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4865) all_10_41 = e3
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_43,
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_18, e1, e1, simplifying with (4684), (4685)
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4866) all_10_18 = all_10_43
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_18, e1, e1, simplifying with (4684), (4686)
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4867) all_10_18 = e1
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_40,
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_22, e2, e1, simplifying with (4706), (4846)
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4868) all_10_22 = all_10_40
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4,
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_22, e2, e1, simplifying with (4811), (4846)
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4869) all_10_22 = e4
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_11, e3, e1, simplifying with (4631), (4839)
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4870) all_10_11 = e0
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_44,
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_11, e3, e1, simplifying with (4743), (4839)
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4871) all_10_11 = all_10_44
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_42,
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_5, e4, e1, simplifying with (4666), (4810)
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4872) all_10_5 = all_10_42
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_10_5,
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e1, simplifying with (4810), (4845) gives:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4873) all_10_5 = e2
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_10_9,
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e2, simplifying with (4190), (4711) gives:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4874) all_10_9 = e4
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_35,
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_9, e0, e2, simplifying with (4711), (4802)
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4875) all_10_9 = all_10_35
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_36,
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_23, e1, e2, simplifying with (4723), (4841)
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4876) all_10_23 = all_10_36
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_23, e1, e2, simplifying with (4723), (4833)
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4877) all_10_23 = e3
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_37,
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_12, e2, e2, simplifying with (4755), (4756)
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4878) all_10_12 = all_10_37
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_12, e2, e2, simplifying with (4755), (4757)
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4879) all_10_12 = e2
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_38,
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_1, e3, e2, simplifying with (4772), (4832)
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4880) all_10_1 = all_10_38
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_10_1,
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (4742), (4772) gives:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4881) all_10_1 = e1
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_32,
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_19, e0, e3, simplifying with (4741), (4858)
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4882) all_10_19 = all_10_32
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_19, e0, e3, simplifying with (4741), (4801)
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4883) all_10_19 = e2
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4,
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_13, e1, e3, simplifying with (4633), (4830)
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4884) all_10_13 = e4
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_30,
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_13, e1, e3, simplifying with (4812), (4830)
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4885) all_10_13 = all_10_30
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_34,
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_2, e2, e3, simplifying with (4712), (4764)
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4886) all_10_2 = all_10_34
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_10_2,
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (4764), (4859) gives:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4887) all_10_2 = e0
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_31,
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_6, e3, e3, simplifying with (4730), (4731)
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4888) all_10_6 = all_10_31
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_10_6,
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (4730), (4732) gives:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4889) all_10_6 = e3
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_33, e4, e3, simplifying with (4651), (4829)
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4890) all_10_33 = e1
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_28, e0, e4, simplifying with (4650), (4790)
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4891) all_10_28 = e1
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_26,
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_17, e2, e4, simplifying with (4664), (4773)
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4892) all_10_17 = all_10_26
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_17, e2, e4, simplifying with (4664), (4766)
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4893) all_10_17 = e3
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_27, e3, e4, simplifying with (4765), (4831)
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4894) all_10_27 = e2
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4880), (4881) imply:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4895) all_10_38 = e1
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4895) implies:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4896) all_10_38 = e1
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4886), (4887) imply:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4897) all_10_34 = e0
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4897) implies:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4898) all_10_34 = e0
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4861), (4862) imply:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4899) all_10_47 = e2
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4899) implies:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4900) all_10_47 = e2
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4872), (4873) imply:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4901) all_10_42 = e2
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4901) implies:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4902) all_10_42 = e2
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4888), (4889) imply:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4903) all_10_31 = e3
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4903) implies:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4904) all_10_31 = e3
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4863), (4864) imply:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4905) all_10_48 = e1
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4905) implies:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4906) all_10_48 = e1
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4874), (4875) imply:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4907) all_10_35 = e4
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4870), (4871) imply:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4908) all_10_44 = e0
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4878), (4879) imply:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4909) all_10_37 = e2
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4909) implies:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4910) all_10_37 = e2
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4884), (4885) imply:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4911) all_10_30 = e4
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4892), (4893) imply:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4912) all_10_26 = e3
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4912) implies:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4913) all_10_26 = e3
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4866), (4867) imply:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4914) all_10_43 = e1
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4914) implies:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4915) all_10_43 = e1
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4882), (4883) imply:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4916) all_10_32 = e2
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4868), (4869) imply:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4917) all_10_40 = e4
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4917) implies:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4918) all_10_40 = e4
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4876), (4877) imply:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4919) all_10_36 = e3
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (330), (834), (4544), (4558), (4578), (4788),
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4794), (4865), (4890), (4891), (4894), (4896),
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4898), (4900), (4902), (4904), (4906), (4907),
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4908), (4910), (4911), (4913), (4915), (4916),
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4918), (4919) are inconsistent by sub-proof #758.
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4920) ~ (all_12_5 = e0)
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (4920) imply:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4921) ~ (all_4_7 = e0)
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10), (11), (12), (415), (455), (478), (514),
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (518), (547), (655), (664), (707), (734), (823),
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (824), (4589), (4596), (4637), (4657), (4660),
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4822), (4921) are inconsistent by sub-proof #424.
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4922) all_8_22 = e0
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (592), (824), (4922) are inconsistent by sub-proof
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #480.
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4923) ~ (all_12_7 = e1)
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (462), (4923) imply:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4924) ~ (all_4_6 = e1)
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (578), (4770), (4797), (4835), (4924) are
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #555.
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4925) all_8_13 = e2 | all_8_13 = e1 | all_8_13 = e0
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (598), (4681), (4754), (4799), (4925) are
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #544.
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4926) ~ (all_12_2 = e1)
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (486), (4926) imply:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4927) ~ (all_4_1 = e1)
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (566), (4547), (4586), (4709), (4795), (4927) are
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #657.
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4928) ~ (all_12_6 = e0)
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (665), (4928) imply:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4929) ~ (all_4_4 = e0)
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (397) gives:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4930) all_12_0 = e0
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4561), (4930) imply:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4931) e4 = e0
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (4931) imply:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4932) $false
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4932) is inconsistent.
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4933) all_12_2 = e0 | all_12_6 = e0 | all_12_12 = e0 |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_20 = e0
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4933) gives:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4934) all_12_2 = e0
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (4934) imply:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4935) all_4_1 = e0
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4935) implies:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4936) all_4_1 = e0
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (679), (4936) imply:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4937) ~ (all_4_7 = e0)
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4937) implies:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4938) ~ (all_4_7 = e0)
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4709), (4936) imply:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4939) ~ (e2 = e0)
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (382) gives:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4940) all_12_4 = e0
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4758), (4940) imply:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4941) e3 = e0
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (4941) imply:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4942) $false
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4942) is inconsistent.
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4943) all_12_5 = e0 | all_12_8 = e0 | all_12_14 = e0 |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_22 = e0
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10), (11), (12), (415), (455), (478), (514),
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (518), (547), (655), (664), (707), (734), (823),
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (824), (4589), (4596), (4637), (4657), (4660),
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4938), (4943) are inconsistent by sub-proof #424.
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4944) ~ (all_12_2 = e0)
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (486), (4944) imply:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4945) ~ (all_4_1 = e0)
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (378), (566), (568), (665), (675), (4203), (4547),
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4548), (4586), (4709), (4751), (4929), (4945) are
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #654.
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4946) all_12_16 = e0
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4626), (4946) imply:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4947) e1 = e0
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (4947) imply:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4948) $false
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4948) is inconsistent.
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4949) ~ (all_12_1 = e2)
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (666), (4949) imply:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4950) ~ (all_4_2 = e2)
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (574), (594), (702), (2911), (4602), (4627),
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4680), (4720), (4760), (4762), (4950) are
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #423.
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4951) ~ (all_12_4 = e3)
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (498), (4951) imply:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4952) ~ (all_4_5 = e3)
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4600) gives:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4953) all_8_2 = e3
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (4952), (4953) are inconsistent by
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #753.
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4954) all_8_2 = e2 | all_8_2 = e1 | all_8_2 = e0
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4954) gives:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4955) all_8_2 = e2
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (4752), (4955) are inconsistent by
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #752.
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4956) all_8_2 = e1 | all_8_2 = e0
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4956) gives:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4957) all_8_2 = e1
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (4628), (4957) are inconsistent by
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #751.
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4958) all_8_2 = e0
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (583), (4958) imply:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4959) all_4_5 = e0
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4959) implies:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4960) all_4_5 = e0
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (726), (4960) imply:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4961) ~ (all_4_10 = e0)
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4961) implies:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4962) ~ (all_4_10 = e0)
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4602) gives:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4963) all_8_3 = e3
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (594), (4963) imply:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4964) all_4_10 = e3
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4964) implies:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4965) all_4_10 = e3
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4705), (4965) imply:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4966) op(e2, e3) = e4
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (4742), (4966), (function-axioms) are
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #422.
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4967) all_8_3 = e2 | all_8_3 = e1 | all_8_3 = e0
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (594), (4184), (4705), (4720), (4962),
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4967), (function-axioms) are inconsistent by
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #421.
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4968) all_10_63 = e1 | all_10_64 = e0
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (415), (824), (4660), (4968) are
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #671.
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4969) all_12_24 = e3
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (817), (4969) imply:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4970) e3 = e0
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (4970) imply:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4971) $false
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4971) is inconsistent.
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4972) all_10_61 = e2 | all_10_66 = e1 | all_10_71 = e0
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4972) gives:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4973) all_10_61 = e2
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (518), (4710), (4973) are inconsistent by
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #725.
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4974) all_10_66 = e1 | all_10_71 = e0
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (547), (823), (4637), (4974) are
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #420.
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4975) all_8_23 = e1 | all_8_23 = e0
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (602), (826), (4683), (4975) are inconsistent by
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #454.
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4976) all_12_18 = e2 | all_12_19 = e2 | all_12_24 = e2
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4693) gives:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4977) all_12_13 = e3
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4639), (4977) imply:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4978) e3 = e0
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (4978) imply:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4979) $false
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4979) is inconsistent.
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4980) all_12_14 = e3 | all_12_15 = e3 | all_12_19 = e3
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4980) gives:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4981) all_12_14 = e3
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (4657), (4981) are inconsistent by sub-proof
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #677.
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4982) all_12_15 = e3 | all_12_19 = e3
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4976) gives:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4983) all_12_18 = e2
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4180), (4983) imply:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4984) e4 = e2
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13), (4984) imply:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4985) $false
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4985) is inconsistent.
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4986) all_12_19 = e2 | all_12_24 = e2
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3816) gives:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4987) all_8_19 = e3
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (551), (4987) imply:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4988) all_4_23 = e3
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (430), (4988) imply:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4989) all_12_19 = e3
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4986) gives:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4990) all_12_19 = e2
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4989), (4990) imply:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4991) e3 = e2
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (4991) imply:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4992) $false
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4992) is inconsistent.
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4993) all_12_24 = e2
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (817), (4993) imply:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4994) e2 = e0
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (4994) imply:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4995) $false
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4995) is inconsistent.
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4996) ~ (all_8_19 = e3)
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (551), (4996) imply:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4997) ~ (all_4_23 = e3)
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4982) gives:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4998) all_12_15 = e3
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4678), (4998) are inconsistent by sub-proof
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #419.
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4999) all_12_19 = e3
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (430), (4999) imply:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5000) all_4_23 = e3
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4997), (5000) imply:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5001) $false
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5001) is inconsistent.
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5002) all_8_15 = e1 | all_8_15 = e0
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (570), (4642), (4679), (5002) are inconsistent by
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #729.
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5003) all_10_73 = e0
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (654), (827), (5003) are inconsistent by sub-proof
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #646.
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5004) all_12_15 = e4 | all_12_19 = e4
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (41), (51), (430), (660), (3817), (4574),
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5004), (function-axioms) are inconsistent by
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #509.
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5005) all_8_4 = e0
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (603), (821), (5005) are inconsistent by sub-proof
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #708.
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | (5006) ~ (all_10_50 = e4)
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | (5007) all_10_51 = e3 | all_10_52 = e2 | all_10_53 = e1 |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | all_10_54 = e0
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (508), (5006) imply:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | (5008) ~ (all_4_0 = e4)
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | (5009) all_8_0 = e4
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (564), (5008), (5009) are inconsistent by
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #706.
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | (5010) ~ (all_8_0 = e4)
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | (5011) all_8_0 = e3 | all_8_0 = e2 | all_8_0 = e1 |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | all_8_0 = e0
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (406) gives:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | (5012) all_12_0 = e4
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (5012) imply:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | (5013) all_4_0 = e4
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5008), (5013) imply:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | (5014) $false
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5014) is inconsistent.
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | (5015) ~ (all_12_0 = e4)
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | (5016) all_12_1 = e4 | all_12_4 = e4 | all_12_9 = e4 |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | all_12_16 = e4
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (405) gives:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | (5017) all_12_0 = e4
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (5017) imply:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | (5018) all_4_0 = e4
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5008), (5018) imply:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | (5019) $false
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5019) is inconsistent.
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | (5020) all_12_2 = e4 | all_12_6 = e4 | all_12_12 = e4 |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | all_12_20 = e4
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (5021) all_8_5 = e4
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (566), (5021) imply:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (5022) all_4_1 = e4
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (512), (5022) imply:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (5023) all_10_51 = e4
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (678), (5022) imply:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (5024) ~ (all_4_3 = e4)
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (675), (5022) imply:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (5025) ~ (all_4_4 = e4)
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (680), (5022) imply:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (5026) ~ (all_4_12 = e4)
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5026) implies:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (5027) ~ (all_4_12 = e4)
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (768), (5022) imply:
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (5028) op(e4, e4) = all_10_5
% 177.87/26.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_0,
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_5, e4, e4, simplifying with (41), (5028)
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | (5029) all_10_5 = all_4_0
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (376) gives:
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5030) all_12_9 = e4
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (5030) imply:
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5031) all_4_10 = e4
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5031) implies:
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5032) all_4_10 = e4
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (5032) imply:
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5033) ~ (all_4_15 = e4)
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5033) implies:
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5034) ~ (all_4_15 = e4)
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (29), (35), (66), (399), (401), (404),
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (506), (564), (830), (2882), (4183), (5008),
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5011), (5034), (function-axioms) are inconsistent
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #697.
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5035) ~ (all_12_9 = e4)
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5036) all_12_10 = e4 | all_12_11 = e4 | all_12_15 = e4 |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_23 = e4
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (494), (5035) imply:
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5037) ~ (all_4_10 = e4)
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5016) gives:
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5038) all_12_1 = e4
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (5038) imply:
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5039) all_4_2 = e4
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2881), (5039) imply:
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5040) $false
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5040) is inconsistent.
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5041) all_12_4 = e4 | all_12_9 = e4 | all_12_16 = e4
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5041) gives:
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5042) all_12_4 = e4
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (5042) imply:
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5043) all_4_5 = e4
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5043) implies:
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5044) all_4_5 = e4
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (61), (5044) imply:
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5045) op(e4, all_4_4) = e2
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (777), (5044) imply:
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5046) op(e4, e2) = all_10_2
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (794), (5044) imply:
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5047) op(e4, e4) = all_10_27
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (5044) imply:
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5048) op(e4, e2) = e4
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5036) gives:
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5049) all_12_10 = e4
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (663), (5027), (5049) are inconsistent by
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #628.
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5050) all_12_11 = e4 | all_12_15 = e4 | all_12_23 = e4
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5050) gives:
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5051) all_12_11 = e4
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (454), (4184), (5051) are inconsistent by
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #774.
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5052) all_12_15 = e4 | all_12_23 = e4
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5052) gives:
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5053) all_12_15 = e4
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (660), (5053) imply:
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5054) all_4_15 = e4
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (5054) imply:
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5055) op(e4, e4) = e1
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_10_2,
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e4, simplifying with (5046), (5048) gives:
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5056) all_10_2 = e4
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_0,
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_27, e4, e4, simplifying with (41), (5047)
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5057) all_10_27 = all_4_0
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_27, e4, e4, simplifying with (5047), (5055)
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5058) all_10_27 = e1
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5057), (5058) imply:
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5059) all_4_0 = e1
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (669), (5059) imply:
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5060) ~ (all_4_9 = e1)
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5060) implies:
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5061) ~ (all_4_9 = e1)
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5007) gives:
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5062) all_10_51 = e3
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (5023), (5062) are inconsistent by sub-proof
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #612.
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5063) all_10_52 = e2 | all_10_53 = e1 | all_10_54 = e0
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (424), (463), (534), (820), (4182), (5045),
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5048), (5061), (5063), (function-axioms) are
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #416.
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5064) all_12_23 = e4
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (414), (2875), (5064) are inconsistent by
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #460.
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5065) all_12_9 = e4 | all_12_16 = e4
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (494), (659), (4185), (5037), (5065) are
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #505.
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | (5066) ~ (all_8_5 = e4)
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (566), (5066) imply:
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | (5067) ~ (all_4_1 = e4)
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5020) gives:
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5068) all_12_2 = e4
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (5067), (5068) are inconsistent by
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #695.
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5069) all_12_6 = e4 | all_12_12 = e4 | all_12_20 = e4
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5069) gives:
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5070) all_12_6 = e4
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (665), (4182), (5070) are inconsistent by
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #780.
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5071) all_12_12 = e4 | all_12_20 = e4
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5071) gives:
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5072) all_12_12 = e4
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (5072) imply:
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5073) all_4_9 = e4
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5073) implies:
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5074) all_4_9 = e4
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (691), (5074) imply:
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5075) ~ (all_4_15 = e4)
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5075) implies:
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5076) ~ (all_4_15 = e4)
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (29), (35), (66), (399), (401), (404),
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (506), (564), (830), (2882), (4183), (5008),
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5011), (5076), (function-axioms) are inconsistent
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #697.
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5077) all_12_20 = e4
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4545), (5077) imply:
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5078) e4 = e3
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (5078) imply:
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5079) $false
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5079) is inconsistent.
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | (5080) all_8_20 = e2 | all_8_20 = e1 | all_8_20 = e0
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (572), (820), (4214), (4540), (5080) are
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #615.
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.57 | | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.57 | | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | | End of split
% 177.87/26.57 | | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | End of split
% 177.87/26.57 | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | End of split
% 177.87/26.57 | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | End of split
% 177.87/26.57 | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | End of split
% 177.87/26.57 | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | Case 2:
% 177.87/26.57 | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | (5081) all_12_19 = e4 | all_12_24 = e4
% 177.87/26.57 | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | REF_CLOSE: (11), (430), (817), (3817), (5081) are
% 177.87/26.57 | | | | | | | | | | | | | inconsistent by sub-proof #500.
% 177.87/26.57 | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | End of split
% 177.87/26.57 | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | End of split
% 177.87/26.57 | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | End of split
% 177.87/26.57 | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | End of split
% 177.87/26.57 | | | | | | | | |
% 177.87/26.57 | | | | | | | | End of split
% 177.87/26.57 | | | | | | | |
% 177.87/26.57 | | | | | | | End of split
% 177.87/26.57 | | | | | | |
% 177.87/26.57 | | | | | | End of split
% 177.87/26.57 | | | | | |
% 177.87/26.57 | | | | | End of split
% 177.87/26.57 | | | | |
% 177.87/26.57 | | | | End of split
% 177.87/26.57 | | | |
% 177.87/26.57 | | | Case 2:
% 177.87/26.57 | | | |
% 177.87/26.57 | | | | (5082) ~ (all_8_21 = e4)
% 177.87/26.57 | | | | (5083) all_8_21 = e3 | all_8_21 = e2 | all_8_21 = e1 | all_8_21 = e0
% 177.87/26.57 | | | |
% 177.87/26.57 | | | | REDUCE: (582), (5082) imply:
% 177.87/26.57 | | | | (5084) ~ (all_4_18 = e4)
% 177.87/26.57 | | | |
% 177.87/26.57 | | | | BETA: splitting (362) gives:
% 177.87/26.57 | | | |
% 177.87/26.57 | | | | Case 1:
% 177.87/26.57 | | | | |
% 177.87/26.57 | | | | | (5085) all_12_20 = e4
% 177.87/26.57 | | | | |
% 177.87/26.57 | | | | | COMBINE_EQS: (657), (5085) imply:
% 177.87/26.57 | | | | | (5086) all_4_16 = e4
% 177.87/26.57 | | | | |
% 177.87/26.57 | | | | | SIMP: (5086) implies:
% 177.87/26.57 | | | | | (5087) all_4_16 = e4
% 177.87/26.57 | | | | |
% 177.87/26.57 | | | | | COMBINE_EQS: (424), (5087) imply:
% 177.87/26.57 | | | | | (5088) all_10_54 = e4
% 177.87/26.57 | | | | |
% 177.87/26.57 | | | | | REDUCE: (670), (5087) imply:
% 177.87/26.57 | | | | | (5089) ~ (all_4_0 = e4)
% 177.87/26.57 | | | | |
% 177.87/26.57 | | | | | REDUCE: (677), (5087) imply:
% 177.87/26.57 | | | | | (5090) ~ (all_4_1 = e4)
% 177.87/26.57 | | | | |
% 177.87/26.57 | | | | | REDUCE: (683), (5087) imply:
% 177.87/26.57 | | | | | (5091) ~ (all_4_4 = e4)
% 177.87/26.57 | | | | |
% 177.87/26.57 | | | | | REDUCE: (688), (5087) imply:
% 177.87/26.57 | | | | | (5092) ~ (all_4_9 = e4)
% 177.87/26.57 | | | | |
% 177.87/26.57 | | | | | REDUCE: (693), (5087) imply:
% 177.87/26.57 | | | | | (5093) ~ (all_4_18 = e4)
% 177.87/26.57 | | | | |
% 177.87/26.57 | | | | | REDUCE: (694), (5087) imply:
% 177.87/26.57 | | | | | (5094) ~ (all_4_20 = e4)
% 177.87/26.57 | | | | |
% 177.87/26.57 | | | | | SIMP: (5094) implies:
% 177.87/26.57 | | | | | (5095) ~ (all_4_20 = e4)
% 177.87/26.57 | | | | |
% 177.87/26.57 | | | | | REDUCE: (695), (5087) imply:
% 177.87/26.57 | | | | | (5096) ~ (all_4_22 = e4)
% 177.87/26.57 | | | | |
% 177.87/26.57 | | | | | REDUCE: (50), (5087) imply:
% 177.87/26.57 | | | | | (5097) op(e4, all_4_17) = e4
% 177.87/26.57 | | | | |
% 177.87/26.57 | | | | | REDUCE: (771), (5087) imply:
% 177.87/26.57 | | | | | (5098) op(e4, e4) = all_10_20
% 177.87/26.57 | | | | |
% 177.87/26.57 | | | | | REDUCE: (49), (5087) imply:
% 177.87/26.57 | | | | | (5099) op(all_4_17, e4) = e0
% 177.87/26.57 | | | | |
% 177.87/26.57 | | | | | GROUND_INST: instantiating (function-axioms) with all_4_0, all_10_20,
% 177.87/26.57 | | | | | e4, e4, simplifying with (41), (5098) gives:
% 177.87/26.57 | | | | | (5100) all_10_20 = all_4_0
% 177.87/26.57 | | | | |
% 177.87/26.57 | | | | | GROUND_INST: instantiating (function-axioms) with all_10_29, e4,
% 177.87/26.57 | | | | | all_4_17, e4, simplifying with (796), (5097) gives:
% 177.87/26.57 | | | | | (5101) all_10_29 = e4
% 177.87/26.57 | | | | |
% 177.87/26.57 | | | | | BETA: splitting (325) gives:
% 177.87/26.57 | | | | |
% 177.87/26.57 | | | | | Case 1:
% 177.87/26.57 | | | | | |
% 177.87/26.57 | | | | | | (5102) all_10_53 = e4
% 177.87/26.57 | | | | | |
% 177.87/26.57 | | | | | | REF_CLOSE: (534), (5092), (5102) are inconsistent by sub-proof #779.
% 177.87/26.57 | | | | | |
% 177.87/26.57 | | | | | Case 2:
% 177.87/26.57 | | | | | |
% 177.87/26.57 | | | | | | (5103) ~ (all_10_53 = e4)
% 177.87/26.57 | | | | | | (5104) all_10_58 = e3 | all_10_63 = e2 | all_10_68 = e1 |
% 177.87/26.57 | | | | | | all_10_73 = e0
% 177.87/26.57 | | | | | |
% 177.87/26.57 | | | | | | BETA: splitting (326) gives:
% 177.87/26.57 | | | | | |
% 177.87/26.57 | | | | | | Case 1:
% 177.87/26.57 | | | | | | |
% 177.87/26.57 | | | | | | | (5105) all_10_52 = e4
% 177.87/26.57 | | | | | | |
% 177.87/26.57 | | | | | | | REF_CLOSE: (463), (5091), (5105) are inconsistent by sub-proof
% 177.87/26.57 | | | | | | | #778.
% 177.87/26.57 | | | | | | |
% 177.87/26.57 | | | | | | Case 2:
% 177.87/26.57 | | | | | | |
% 177.87/26.57 | | | | | | | (5106) ~ (all_10_52 = e4)
% 177.87/26.57 | | | | | | | (5107) all_10_57 = e3 | all_10_62 = e2 | all_10_67 = e1 |
% 177.87/26.57 | | | | | | | all_10_72 = e0
% 177.87/26.57 | | | | | | |
% 177.87/26.57 | | | | | | | BETA: splitting (328) gives:
% 177.87/26.57 | | | | | | |
% 177.87/26.57 | | | | | | | Case 1:
% 177.87/26.57 | | | | | | | |
% 177.87/26.57 | | | | | | | | (5108) all_10_50 = e4
% 177.87/26.57 | | | | | | | |
% 177.87/26.57 | | | | | | | | REF_CLOSE: (508), (5089), (5108) are inconsistent by sub-proof
% 177.87/26.57 | | | | | | | | #631.
% 177.87/26.57 | | | | | | | |
% 177.87/26.57 | | | | | | | Case 2:
% 177.87/26.57 | | | | | | | |
% 177.87/26.57 | | | | | | | | (5109) ~ (all_10_50 = e4)
% 177.87/26.57 | | | | | | | | (5110) all_10_55 = e3 | all_10_60 = e2 | all_10_65 = e1 |
% 177.87/26.57 | | | | | | | | all_10_70 = e0
% 177.87/26.57 | | | | | | | |
% 177.87/26.57 | | | | | | | | BETA: splitting (327) gives:
% 177.87/26.57 | | | | | | | |
% 177.87/26.57 | | | | | | | | Case 1:
% 177.87/26.57 | | | | | | | | |
% 177.87/26.57 | | | | | | | | | (5111) all_10_51 = e4
% 177.87/26.57 | | | | | | | | |
% 177.87/26.57 | | | | | | | | | REF_CLOSE: (512), (5090), (5111) are inconsistent by sub-proof
% 177.87/26.57 | | | | | | | | | #472.
% 177.87/26.57 | | | | | | | | |
% 177.87/26.57 | | | | | | | | Case 2:
% 177.87/26.57 | | | | | | | | |
% 177.87/26.57 | | | | | | | | | (5112) ~ (all_10_51 = e4)
% 177.87/26.57 | | | | | | | | | (5113) all_10_56 = e3 | all_10_61 = e2 | all_10_66 = e1 |
% 177.87/26.57 | | | | | | | | | all_10_71 = e0
% 177.87/26.57 | | | | | | | | |
% 177.87/26.57 | | | | | | | | | BETA: splitting (329) gives:
% 177.87/26.57 | | | | | | | | |
% 177.87/26.57 | | | | | | | | | Case 1:
% 177.87/26.57 | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | (5114) all_10_50 = e4
% 177.87/26.57 | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | REF_CLOSE: (508), (5089), (5114) are inconsistent by
% 177.87/26.57 | | | | | | | | | | sub-proof #631.
% 177.87/26.57 | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | Case 2:
% 177.87/26.57 | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | (5115) all_10_51 = e3 | all_10_52 = e2 | all_10_53 = e1 |
% 177.87/26.57 | | | | | | | | | | all_10_54 = e0
% 177.87/26.57 | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | BETA: splitting (243) gives:
% 177.87/26.57 | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | Case 1:
% 177.87/26.57 | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | (5116) all_8_0 = e4
% 177.87/26.57 | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | REF_CLOSE: (564), (5089), (5116) are inconsistent by
% 177.87/26.57 | | | | | | | | | | | sub-proof #706.
% 177.87/26.57 | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | Case 2:
% 177.87/26.57 | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | (5117) ~ (all_8_0 = e4)
% 177.87/26.57 | | | | | | | | | | | (5118) all_8_0 = e3 | all_8_0 = e2 | all_8_0 = e1 |
% 177.87/26.57 | | | | | | | | | | | all_8_0 = e0
% 177.87/26.57 | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | BETA: splitting (234) gives:
% 177.87/26.57 | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | Case 1:
% 177.87/26.57 | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | (5119) all_8_9 = e4
% 177.87/26.57 | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | COMBINE_EQS: (606), (5119) imply:
% 177.87/26.57 | | | | | | | | | | | | (5120) all_4_19 = e4
% 177.87/26.57 | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | SIMP: (5120) implies:
% 177.87/26.57 | | | | | | | | | | | | (5121) all_4_19 = e4
% 177.87/26.57 | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | COMBINE_EQS: (470), (5121) imply:
% 177.87/26.57 | | | | | | | | | | | | (5122) all_12_17 = e4
% 177.87/26.57 | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | REDUCE: (709), (5121) imply:
% 177.87/26.57 | | | | | | | | | | | | (5123) ~ (all_4_3 = e4)
% 177.87/26.57 | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | REDUCE: (732), (5121) imply:
% 177.87/26.57 | | | | | | | | | | | | (5124) ~ (all_4_7 = e4)
% 177.87/26.57 | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | REDUCE: (750), (5121) imply:
% 177.87/26.57 | | | | | | | | | | | | (5125) ~ (all_4_12 = e4)
% 177.87/26.57 | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | REDUCE: (757), (5121) imply:
% 177.87/26.57 | | | | | | | | | | | | (5126) ~ (all_4_17 = e4)
% 177.87/26.57 | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | REDUCE: (761), (5121) imply:
% 177.87/26.57 | | | | | | | | | | | | (5127) ~ (all_4_21 = e4)
% 177.87/26.57 | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | SIMP: (5127) implies:
% 177.87/26.57 | | | | | | | | | | | | (5128) ~ (all_4_21 = e4)
% 177.87/26.57 | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | REDUCE: (788), (5121) imply:
% 177.87/26.57 | | | | | | | | | | | | (5129) op(e4, e0) = all_10_9
% 177.87/26.57 | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | REDUCE: (801), (5121) imply:
% 177.87/26.57 | | | | | | | | | | | | (5130) op(e3, e4) = all_10_34
% 177.87/26.57 | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_1,
% 177.87/26.57 | | | | | | | | | | | | all_10_34, e4, e3, simplifying with (36), (5130)
% 177.87/26.57 | | | | | | | | | | | | gives:
% 177.87/26.57 | | | | | | | | | | | | (5131) all_10_34 = all_4_1
% 177.87/26.57 | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_17,
% 177.87/26.57 | | | | | | | | | | | | all_10_9, e0, e4, simplifying with (37), (5129)
% 177.87/26.57 | | | | | | | | | | | | gives:
% 177.87/26.57 | | | | | | | | | | | | (5132) all_10_9 = all_4_17
% 177.87/26.57 | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | BETA: splitting (229) gives:
% 177.87/26.57 | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | Case 1:
% 177.87/26.57 | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | (5133) all_8_14 = e4
% 177.87/26.57 | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | COMBINE_EQS: (607), (5133) imply:
% 177.87/26.57 | | | | | | | | | | | | | (5134) all_4_21 = e4
% 177.87/26.57 | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | REDUCE: (5128), (5134) imply:
% 177.87/26.57 | | | | | | | | | | | | | (5135) $false
% 177.87/26.57 | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | CLOSE: (5135) is inconsistent.
% 177.87/26.57 | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | Case 2:
% 177.87/26.57 | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | (5136) ~ (all_8_14 = e4)
% 177.87/26.57 | | | | | | | | | | | | | (5137) all_8_14 = e3 | all_8_14 = e2 | all_8_14 = e1 |
% 177.87/26.57 | | | | | | | | | | | | | all_8_14 = e0
% 177.87/26.57 | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | BETA: splitting (239) gives:
% 177.87/26.57 | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | Case 1:
% 177.87/26.57 | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | (5138) all_8_4 = e4
% 177.87/26.57 | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | REF_CLOSE: (603), (5126), (5138) are inconsistent by
% 177.87/26.57 | | | | | | | | | | | | | | sub-proof #787.
% 177.87/26.57 | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | Case 2:
% 177.87/26.57 | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | (5139) ~ (all_8_4 = e4)
% 177.87/26.57 | | | | | | | | | | | | | | (5140) all_8_4 = e3 | all_8_4 = e2 | all_8_4 = e1 |
% 177.87/26.57 | | | | | | | | | | | | | | all_8_4 = e0
% 177.87/26.57 | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 177.87/26.57 | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | Case 1:
% 177.87/26.57 | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | (5141) all_8_10 = e4
% 177.87/26.57 | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | REF_CLOSE: (568), (5091), (5141) are inconsistent by
% 177.87/26.57 | | | | | | | | | | | | | | | sub-proof #781.
% 177.87/26.57 | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | Case 2:
% 177.87/26.57 | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | (5142) ~ (all_8_10 = e4)
% 177.87/26.57 | | | | | | | | | | | | | | | (5143) all_8_10 = e3 | all_8_10 = e2 | all_8_10 = e1 |
% 177.87/26.57 | | | | | | | | | | | | | | | all_8_10 = e0
% 177.87/26.57 | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 177.87/26.57 | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | Case 1:
% 177.87/26.57 | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | (5144) all_8_5 = e4
% 177.87/26.57 | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | REF_CLOSE: (566), (5090), (5144) are inconsistent by
% 177.87/26.57 | | | | | | | | | | | | | | | | sub-proof #784.
% 177.87/26.57 | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | Case 2:
% 177.87/26.57 | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | (5145) ~ (all_8_5 = e4)
% 177.87/26.57 | | | | | | | | | | | | | | | | (5146) all_8_5 = e3 | all_8_5 = e2 | all_8_5 = e1 |
% 177.87/26.57 | | | | | | | | | | | | | | | | all_8_5 = e0
% 177.87/26.57 | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | BETA: splitting (363) gives:
% 177.87/26.57 | | | | | | | | | | | | | | | |
% 177.87/26.57 | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.57 | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | (5147) all_12_16 = e1
% 177.87/26.58 | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (5147) imply:
% 177.87/26.58 | | | | | | | | | | | | | | | | | (5148) all_4_17 = e1
% 177.87/26.58 | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | REDUCE: (674), (5148) imply:
% 177.87/26.58 | | | | | | | | | | | | | | | | | (5149) ~ (all_4_0 = e1)
% 177.87/26.58 | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | REDUCE: (746), (5148) imply:
% 177.87/26.58 | | | | | | | | | | | | | | | | | (5150) ~ (all_4_10 = e1)
% 177.87/26.58 | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | REDUCE: (758), (5148) imply:
% 177.87/26.58 | | | | | | | | | | | | | | | | | (5151) ~ (all_4_21 = e1)
% 177.87/26.58 | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | SIMP: (5151) implies:
% 177.87/26.58 | | | | | | | | | | | | | | | | | (5152) ~ (all_4_21 = e1)
% 177.87/26.58 | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | REDUCE: (5099), (5148) imply:
% 177.87/26.58 | | | | | | | | | | | | | | | | | (5153) op(e1, e4) = e0
% 177.87/26.58 | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | REDUCE: (5097), (5148) imply:
% 177.87/26.58 | | | | | | | | | | | | | | | | | (5154) op(e4, e1) = e4
% 177.87/26.58 | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_9, e0,
% 177.87/26.58 | | | | | | | | | | | | | | | | | e4, e1, simplifying with (26), (5153) gives:
% 177.87/26.58 | | | | | | | | | | | | | | | | | (5155) all_4_9 = e0
% 177.87/26.58 | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_10, e4,
% 177.87/26.58 | | | | | | | | | | | | | | | | | e1, e4, simplifying with (38), (5154) gives:
% 177.87/26.58 | | | | | | | | | | | | | | | | | (5156) all_4_10 = e4
% 177.87/26.58 | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | COMBINE_EQS: (528), (5156) imply:
% 177.87/26.58 | | | | | | | | | | | | | | | | | (5157) all_10_65 = e4
% 177.87/26.58 | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (5155) imply:
% 177.87/26.58 | | | | | | | | | | | | | | | | | (5158) all_12_12 = e0
% 177.87/26.58 | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | REDUCE: (669), (5155) imply:
% 177.87/26.58 | | | | | | | | | | | | | | | | | (5159) ~ (all_4_0 = e0)
% 177.87/26.58 | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | REDUCE: (676), (5155) imply:
% 177.87/26.58 | | | | | | | | | | | | | | | | | (5160) ~ (all_4_1 = e0)
% 177.87/26.58 | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | REDUCE: (702), (5156) imply:
% 177.87/26.58 | | | | | | | | | | | | | | | | | (5161) ~ (all_4_2 = e4)
% 177.87/26.58 | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | REDUCE: (726), (5156) imply:
% 177.87/26.58 | | | | | | | | | | | | | | | | | (5162) ~ (all_4_5 = e4)
% 177.87/26.58 | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | REDUCE: (689), (5155) imply:
% 177.87/26.58 | | | | | | | | | | | | | | | | | (5163) ~ (all_4_11 = e0)
% 177.87/26.58 | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | SIMP: (5163) implies:
% 177.87/26.58 | | | | | | | | | | | | | | | | | (5164) ~ (all_4_11 = e0)
% 177.87/26.58 | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | REDUCE: (5092), (5155) imply:
% 177.87/26.58 | | | | | | | | | | | | | | | | | (5165) ~ (e4 = e0)
% 177.87/26.58 | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | REDUCE: (743), (5156) imply:
% 177.87/26.58 | | | | | | | | | | | | | | | | | (5166) ~ (all_4_14 = e4)
% 177.87/26.58 | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | SIMP: (5166) implies:
% 177.87/26.58 | | | | | | | | | | | | | | | | | (5167) ~ (all_4_14 = e4)
% 177.87/26.58 | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | REDUCE: (795), (5156) imply:
% 177.87/26.58 | | | | | | | | | | | | | | | | | (5168) op(e4, e4) = all_10_28
% 177.87/26.58 | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_0,
% 177.87/26.58 | | | | | | | | | | | | | | | | | all_10_28, e4, e4, simplifying with (41), (5168)
% 177.87/26.58 | | | | | | | | | | | | | | | | | gives:
% 177.87/26.58 | | | | | | | | | | | | | | | | | (5169) all_10_28 = all_4_0
% 177.87/26.58 | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | BETA: splitting (396) gives:
% 177.87/26.58 | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.58 | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | (5170) all_12_1 = e4
% 177.87/26.58 | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (5170) imply:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | (5171) all_4_2 = e4
% 177.87/26.58 | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | REDUCE: (5161), (5171) imply:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | (5172) $false
% 177.87/26.58 | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | CLOSE: (5172) is inconsistent.
% 177.87/26.58 | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.58 | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | (5173) ~ (all_12_1 = e4)
% 177.87/26.58 | | | | | | | | | | | | | | | | | | (5174) all_12_3 = e4 | all_12_7 = e4 | all_12_13 = e4 |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | all_12_21 = e4
% 177.87/26.58 | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | BETA: splitting (323) gives:
% 177.87/26.58 | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | (5175) all_10_55 = e4
% 177.87/26.58 | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (500), (5161), (5175) are inconsistent by
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | sub-proof #415.
% 177.87/26.58 | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | (5176) all_10_56 = e3 | all_10_57 = e2 | all_10_58 = e1 |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | all_10_59 = e0
% 177.87/26.58 | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | BETA: splitting (371) gives:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | (5177) all_12_12 = e4
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5158), (5177) imply:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | (5178) e4 = e0
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (5178) imply:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | (5179) $false
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | CLOSE: (5179) is inconsistent.
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | (5180) all_12_13 = e4 | all_12_14 = e4 | all_12_15 = e4 |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | all_12_19 = e4
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | BETA: splitting (381) gives:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | (5181) all_12_6 = e4
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (665), (5091), (5181) are inconsistent by
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | sub-proof #780.
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | (5182) all_12_7 = e4 | all_12_8 = e4 | all_12_11 = e4 |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | all_12_18 = e4
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (386) gives:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | (5183) all_12_4 = e4
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (5162), (5183) are inconsistent by
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | sub-proof #686.
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | (5184) all_12_5 = e4 | all_12_8 = e4 | all_12_14 = e4 |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | all_12_22 = e4
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5180) gives:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | (5185) all_12_13 = e4
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (662), (5185) imply:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | (5186) all_4_11 = e4
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5186) implies:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | (5187) all_4_11 = e4
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (5187) imply:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | (5188) all_10_58 = e4
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (710), (5187) imply:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | (5189) ~ (all_4_6 = e4)
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5182) gives:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | (5190) all_12_7 = e4
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (462), (5190) imply:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | (5191) all_4_6 = e4
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5189), (5191) imply:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | (5192) $false
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5192) is inconsistent.
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | (5193) all_12_8 = e4 | all_12_11 = e4 | all_12_18 = e4
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5193) gives:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | (5194) all_12_8 = e4
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (664), (5194) imply:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | (5195) all_4_8 = e4
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5195) implies:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | (5196) all_4_8 = e4
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (58), (5196) imply:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | (5197) op(e4, e4) = e2
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_0, e2,
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | e4, e4, simplifying with (41), (5197) gives:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | (5198) all_4_0 = e2
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (5198) imply:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | (5199) all_12_0 = e2
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (667), (5198) imply:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | (5200) ~ (all_4_1 = e2)
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5200) implies:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | (5201) ~ (all_4_1 = e2)
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (671), (5198) imply:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | (5202) ~ (all_4_2 = e2)
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5202) implies:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | (5203) ~ (all_4_2 = e2)
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (668), (5198) imply:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | (5204) ~ (all_4_4 = e2)
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5204) implies:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | (5205) ~ (all_4_4 = e2)
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (672), (5198) imply:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | (5206) ~ (all_4_5 = e2)
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5206) implies:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | (5207) ~ (all_4_5 = e2)
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5110) gives:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (5208) all_10_55 = e3
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (500), (5208) imply:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (5209) all_4_2 = e3
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (697), (5209) imply:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (5210) ~ (all_4_3 = e3)
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5210) implies:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (5211) ~ (all_4_3 = e3)
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (65), (5209) imply:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (5212) op(all_4_1, e3) = e4
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5176) gives:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5213) all_10_56 = e3
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (514), (5213) imply:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5214) all_4_3 = e3
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5211), (5214) imply:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5215) $false
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5215) is inconsistent.
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5216) all_10_57 = e2 | all_10_58 = e1 | all_10_59 = e0
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5115) gives:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5217) all_10_51 = e3
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (512), (5123), (5212), (5217),
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #414.
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5218) ~ (all_10_51 = e3)
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5219) all_10_52 = e2 | all_10_53 = e1 | all_10_54 = e0
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (512), (5218) imply:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5220) ~ (all_4_1 = e3)
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (403) gives:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5221) all_12_0 = e3
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (5199), (5221) are inconsistent by sub-proof
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #413.
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5222) all_12_2 = e3 | all_12_6 = e3 | all_12_12 = e3 |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_20 = e3
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5146) gives:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5223) all_8_5 = e3
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (566), (5220), (5223) are inconsistent by
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #764.
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5224) ~ (all_8_5 = e3)
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5225) all_8_5 = e2 | all_8_5 = e1 | all_8_5 = e0
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5225) gives:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5226) all_8_5 = e2
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (566), (5201), (5226) are inconsistent by
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #763.
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5227) ~ (all_8_5 = e2)
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5228) all_8_5 = e1 | all_8_5 = e0
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5228) gives:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5229) all_8_5 = e1
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (566), (5229) imply:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5230) all_4_1 = e1
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5230) implies:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5231) all_4_1 = e1
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (5231) imply:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5232) all_12_2 = e1
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5090), (5231) imply:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5233) ~ (e4 = e1)
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5220), (5231) imply:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5234) ~ (e3 = e1)
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5222) gives:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5235) all_12_2 = e3
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5232), (5235) imply:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5236) e3 = e1
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (5236) imply:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5237) $false
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5237) is inconsistent.
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5238) all_12_6 = e3 | all_12_12 = e3 | all_12_20 = e3
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5238) gives:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5239) all_12_6 = e3
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (5239) imply:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5240) all_4_4 = e3
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5240) implies:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5241) all_4_4 = e3
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (687), (5241) imply:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5242) ~ (all_4_21 = e3)
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5242) implies:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5243) ~ (all_4_21 = e3)
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5137) gives:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5244) all_8_14 = e3
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (607), (5243), (5244) are inconsistent by
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #678.
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5245) all_8_14 = e2 | all_8_14 = e1 | all_8_14 = e0
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5245) gives:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5246) all_8_14 = e2
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (607), (5246) imply:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5247) all_4_21 = e2
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5247) implies:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5248) all_4_21 = e2
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (5248) imply:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5249) ~ (all_4_6 = e2)
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (420), (523), (822), (5188), (5216), (5249)
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #412.
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5250) all_8_14 = e1 | all_8_14 = e0
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (607), (825), (5152), (5250) are inconsistent by
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #479.
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5251) ~ (all_12_6 = e3)
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (665), (5251) imply:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5252) ~ (all_4_4 = e3)
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (463), (534), (566), (568), (675), (676),
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (682), (5088), (5143), (5146), (5201), (5205),
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5219), (5220), (5252) are inconsistent by
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #409.
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5253) all_8_5 = e0
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (566), (5160), (5253) are inconsistent by
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #659.
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (5254) all_10_60 = e2 | all_10_65 = e1 | all_10_70 = e0
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (37), (488), (516), (528), (5097), (5126), (5150),
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (5207), (5254), (function-axioms) are inconsistent
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #406.
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | (5255) all_12_11 = e4 | all_12_18 = e4
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (454), (658), (5128), (5167), (5255) are
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #772.
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | (5256) ~ (all_12_13 = e4)
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (662), (5256) imply:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | (5257) ~ (all_4_11 = e4)
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5184) gives:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | (5258) all_12_5 = e4
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (5124), (5258) are inconsistent by
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #566.
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | (5259) all_12_8 = e4 | all_12_14 = e4 | all_12_22 = e4
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5259) gives:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | (5260) all_12_8 = e4
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (664), (5260) imply:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | (5261) all_4_8 = e4
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5261) implies:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | (5262) all_4_8 = e4
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (712), (5262) imply:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | (5263) ~ (all_4_6 = e4)
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (462), (482), (656), (662), (5084), (5123),
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | (5174), (5257), (5263) are inconsistent by
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #404.
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | (5264) ~ (all_12_8 = e4)
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (664), (5264) imply:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | (5265) ~ (all_4_8 = e4)
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (29), (35), (37), (66), (402), (404), (488),
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | (500), (506), (516), (564), (671), (672), (5097),
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | (5110), (5118), (5123), (5126), (5149), (5157),
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | (5159), (5265), (function-axioms) are inconsistent
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #400.
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.58 | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.58 | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | End of split
% 177.87/26.58 | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.58 | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | (5266) ~ (all_12_16 = e1)
% 177.87/26.58 | | | | | | | | | | | | | | | | | (5267) all_12_17 = e1 | all_12_18 = e1 | all_12_19 = e1 |
% 177.87/26.58 | | | | | | | | | | | | | | | | | all_12_24 = e1
% 177.87/26.58 | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | REDUCE: (659), (5266) imply:
% 177.87/26.58 | | | | | | | | | | | | | | | | | (5268) ~ (all_4_17 = e1)
% 177.87/26.58 | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | BETA: splitting (376) gives:
% 177.87/26.58 | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.58 | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | (5269) all_12_9 = e4
% 177.87/26.58 | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (5269) imply:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | (5270) all_4_10 = e4
% 177.87/26.58 | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | SIMP: (5270) implies:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | (5271) all_4_10 = e4
% 177.87/26.58 | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | REDUCE: (702), (5271) imply:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | (5272) ~ (all_4_2 = e4)
% 177.87/26.58 | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | REDUCE: (726), (5271) imply:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | (5273) ~ (all_4_5 = e4)
% 177.87/26.58 | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | BETA: splitting (365) gives:
% 177.87/26.58 | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | (5274) all_12_16 = e3
% 177.87/26.58 | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (5274) imply:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | (5275) all_4_17 = e3
% 177.87/26.58 | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (5097), (5272), (5275), (function-axioms)
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #399.
% 177.87/26.58 | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.58 | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | (5276) ~ (all_12_16 = e3)
% 177.87/26.58 | | | | | | | | | | | | | | | | | | |
% 177.87/26.58 | | | | | | | | | | | | | | | | | | | REDUCE: (659), (5276) imply:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | (5277) ~ (all_4_17 = e3)
% 177.87/26.59 | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | BETA: splitting (5140) gives:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | (5278) all_8_4 = e3
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (603), (5277), (5278) are inconsistent by
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | sub-proof #711.
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | (5279) all_8_4 = e2 | all_8_4 = e1 | all_8_4 = e0
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | BETA: splitting (5279) gives:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | (5280) all_8_4 = e2
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (603), (5280) imply:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | (5281) all_4_17 = e2
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | SIMP: (5281) implies:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | (5282) all_4_17 = e2
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (5097), (5273), (5282), (function-axioms)
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #398.
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | (5283) all_8_4 = e1 | all_8_4 = e0
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (603), (821), (5268), (5283) are inconsistent by
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | sub-proof #638.
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.59 | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.59 | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.59 | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | (5284) ~ (all_12_9 = e4)
% 177.87/26.59 | | | | | | | | | | | | | | | | | | (5285) all_12_10 = e4 | all_12_11 = e4 | all_12_15 = e4 |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | all_12_23 = e4
% 177.87/26.59 | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | REDUCE: (494), (5284) imply:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | (5286) ~ (all_4_10 = e4)
% 177.87/26.59 | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | BETA: splitting (406) gives:
% 177.87/26.59 | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | (5287) all_12_0 = e4
% 177.87/26.59 | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (5287) imply:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | (5288) all_4_0 = e4
% 177.87/26.59 | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | REDUCE: (5089), (5288) imply:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | (5289) $false
% 177.87/26.59 | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | CLOSE: (5289) is inconsistent.
% 177.87/26.59 | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | (5290) all_12_1 = e4 | all_12_4 = e4 | all_12_9 = e4 |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | all_12_16 = e4
% 177.87/26.59 | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | BETA: splitting (321) gives:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | (5291) all_10_65 = e4
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (528), (5291) imply:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | (5292) all_4_10 = e4
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | REDUCE: (5286), (5292) imply:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | (5293) $false
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | CLOSE: (5293) is inconsistent.
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | (5294) ~ (all_10_65 = e4)
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | (5295) all_10_66 = e3 | all_10_67 = e2 | all_10_68 = e1 |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | all_10_69 = e0
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | BETA: splitting (396) gives:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | (5296) all_12_1 = e4
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (5296) imply:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | (5297) all_4_2 = e4
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (500), (5297) imply:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | (5298) all_10_55 = e4
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | REDUCE: (701), (5297) imply:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | (5299) ~ (all_4_5 = e4)
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | SIMP: (5299) implies:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | (5300) ~ (all_4_5 = e4)
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | REDUCE: (698), (5297) imply:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | (5301) ~ (all_4_6 = e4)
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | SIMP: (5301) implies:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | (5302) ~ (all_4_6 = e4)
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | REDUCE: (702), (5297) imply:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | (5303) ~ (all_4_10 = e4)
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | REDUCE: (703), (5297) imply:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | (5304) ~ (all_4_17 = e4)
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | REDUCE: (793), (5297) imply:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | (5305) op(e4, e4) = all_10_26
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_0,
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | all_10_26, e4, e4, simplifying with (41), (5305)
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | gives:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | (5306) all_10_26 = all_4_0
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (381) gives:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | (5307) all_12_6 = e4
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (665), (5091), (5307) are inconsistent by
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | sub-proof #780.
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | (5308) all_12_7 = e4 | all_12_8 = e4 | all_12_11 = e4 |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | all_12_18 = e4
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (400) gives:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | (5309) all_12_0 = e1
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (5309) imply:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | (5310) all_4_0 = e1
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (66), (5310) imply:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | (5311) op(e1, e1) = e4
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (398) gives:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | (5312) all_12_0 = e0
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5309), (5312) imply:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | (5313) e1 = e0
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (5313) imply:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | (5314) $false
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5314) is inconsistent.
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | (5315) all_12_1 = e0 | all_12_4 = e0 | all_12_9 = e0 |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | all_12_16 = e0
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5315) gives:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | (5316) all_12_1 = e0
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5296), (5316) imply:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | (5317) e4 = e0
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (5317) imply:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | (5318) $false
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5318) is inconsistent.
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_15, e4,
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | e1, e1, simplifying with (23), (5311) gives:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | (5319) all_4_15 = e4
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (41), (51), (58), (454), (462), (658), (664),
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | (751), (5128), (5302), (5308), (5319),
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | #397.
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | (5320) ~ (all_12_0 = e1)
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (506), (5320) imply:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | (5321) ~ (all_4_0 = e1)
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (365) gives:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | (5322) all_12_16 = e3
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (5322) imply:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | (5323) all_4_17 = e3
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (5323) imply:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | (5324) all_10_70 = e3
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (674), (5323) imply:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | (5325) ~ (all_4_0 = e3)
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5126), (5323) imply:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | (5326) ~ (e4 = e3)
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5099), (5323) imply:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | (5327) op(e3, e4) = e0
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_1, e0,
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | e4, e3, simplifying with (36), (5327) gives:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | (5328) all_4_1 = e0
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (512), (5328) imply:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | (5329) all_10_51 = e0
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (667), (5328) imply:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | (5330) ~ (all_4_0 = e0)
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (675), (5328) imply:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | (5331) ~ (all_4_4 = e0)
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5331) implies:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | (5332) ~ (all_4_4 = e0)
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (676), (5328) imply:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | (5333) ~ (all_4_9 = e0)
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5333) implies:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | (5334) ~ (all_4_9 = e0)
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5090), (5328) imply:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | (5335) ~ (e4 = e0)
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5118) gives:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | (5336) all_8_0 = e3
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (564), (5325), (5336) are inconsistent by
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #703.
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | (5337) all_8_0 = e2 | all_8_0 = e1 | all_8_0 = e0
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5337) gives:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (5338) all_8_0 = e2
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (564), (5338) imply:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (5339) all_4_0 = e2
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5339) implies:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (5340) all_4_0 = e2
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (668), (5340) imply:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (5341) ~ (all_4_4 = e2)
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5341) implies:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (5342) ~ (all_4_4 = e2)
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (672), (5340) imply:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (5343) ~ (all_4_5 = e2)
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5343) implies:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (5344) ~ (all_4_5 = e2)
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5089), (5340) imply:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (5345) ~ (e4 = e2)
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5110) gives:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5346) all_10_55 = e3
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (5298), (5346) are inconsistent by sub-proof
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | #396.
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5347) all_10_60 = e2 | all_10_65 = e1 | all_10_70 = e0
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5347) gives:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5348) all_10_60 = e2
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (516), (5348) imply:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5349) all_4_5 = e2
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5344), (5349) imply:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5350) $false
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5350) is inconsistent.
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5351) all_10_65 = e1 | all_10_70 = e0
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5351) gives:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5352) all_10_65 = e1
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (528), (5352) imply:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5353) all_4_10 = e1
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5353) implies:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5354) all_4_10 = e1
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (742), (5354) imply:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5355) ~ (all_4_12 = e1)
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5355) implies:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5356) ~ (all_4_12 = e1)
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (5354) imply:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5357) ~ (all_4_14 = e1)
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5357) implies:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5358) ~ (all_4_14 = e1)
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5115) gives:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5359) all_10_51 = e3
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5329), (5359) imply:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5360) e3 = e0
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (5360) imply:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5361) $false
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5361) is inconsistent.
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5362) all_10_52 = e2 | all_10_53 = e1 | all_10_54 = e0
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5362) gives:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5363) all_10_52 = e2
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (463), (5342), (5363) are inconsistent by
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #611.
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5364) ~ (all_10_52 = e2)
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5365) all_10_53 = e1 | all_10_54 = e0
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5365) gives:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5366) all_10_53 = e1
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (534), (5366) imply:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5367) all_4_9 = e1
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5367) implies:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5368) all_4_9 = e1
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (691), (5368) imply:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5369) ~ (all_4_15 = e1)
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5369) implies:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5370) ~ (all_4_15 = e1)
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (692), (5368) imply:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5371) ~ (all_4_23 = e1)
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5371) implies:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5372) ~ (all_4_23 = e1)
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5092), (5368) imply:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5373) ~ (e4 = e1)
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5143) gives:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5374) all_8_10 = e3
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (568), (5374) imply:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5375) all_4_4 = e3
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5375) implies:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5376) all_4_4 = e3
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (5376) imply:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5377) ~ (all_4_6 = e3)
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5377) implies:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5378) ~ (all_4_6 = e3)
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5107) gives:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5379) all_10_57 = e3
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (523), (5379) imply:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5380) all_4_6 = e3
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5378), (5380) imply:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5381) $false
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5381) is inconsistent.
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5382) all_10_62 = e2 | all_10_67 = e1 | all_10_72 = e0
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5267) gives:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5383) all_12_17 = e1
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5122), (5383) imply:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5384) e4 = e1
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (5384) imply:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5385) $false
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5385) is inconsistent.
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5386) ~ (all_12_17 = e1)
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5387) all_12_18 = e1 | all_12_19 = e1 | all_12_24 = e1
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5382) gives:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5388) all_10_62 = e2
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (455), (5388) imply:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5389) all_4_8 = e2
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (664), (5389) imply:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5390) all_12_8 = e2
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (728), (5389) imply:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5391) ~ (all_4_7 = e2)
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5308) gives:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5392) all_12_7 = e4
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (462), (5392) imply:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5393) all_4_6 = e4
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5302), (5393) imply:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5394) $false
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5394) is inconsistent.
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5395) all_12_8 = e4 | all_12_11 = e4 | all_12_18 = e4
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5295) gives:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5396) all_10_66 = e3
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (472), (5396) imply:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5397) all_4_12 = e3
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5397) implies:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5398) all_4_12 = e3
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (708), (5398) imply:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5399) ~ (all_4_3 = e3)
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5113) gives:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5400) all_10_56 = e3
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (514), (5399), (5400) are inconsistent by
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #439.
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5401) all_10_61 = e2 | all_10_66 = e1 | all_10_71 = e0
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (472), (518), (547), (823), (5356), (5391), (5401)
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #722.
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5402) all_10_67 = e2 | all_10_68 = e1 | all_10_69 = e0
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5395) gives:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5403) all_12_8 = e4
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (5390), (5403) are inconsistent by sub-proof
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #456.
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5404) ~ (all_12_8 = e4)
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5405) all_12_11 = e4 | all_12_18 = e4
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5405) gives:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5406) all_12_11 = e4
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (454), (5406) imply:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5407) all_4_14 = e4
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5407) implies:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5408) all_4_14 = e4
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (532), (5408) imply:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5409) all_10_67 = e4
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (431), (560), (826), (5370), (5402), (5409)
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #395.
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5410) all_12_18 = e4
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12), (430), (817), (5372), (5387), (5410)
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #431.
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5411) all_10_67 = e1 | all_10_72 = e0
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (448), (532), (825), (5358), (5411) are
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #393.
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5412) all_8_10 = e2 | all_8_10 = e1 | all_8_10 = e0
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (424), (534), (568), (682), (820), (5332), (5342),
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5365), (5412) are inconsistent by sub-proof #392.
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5413) all_10_54 = e0
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (5088), (5413) are inconsistent by sub-proof
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #410.
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5414) all_10_70 = e0
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5324), (5414) are inconsistent by sub-proof
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #391.
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (5415) all_8_0 = e1 | all_8_0 = e0
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5415) gives:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5416) all_8_0 = e1
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (564), (5321), (5416) are inconsistent by
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #701.
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5417) all_8_0 = e0
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (564), (5330), (5417) are inconsistent by
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #609.
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | (5418) ~ (all_12_16 = e3)
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (659), (5418) imply:
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | (5419) ~ (all_4_17 = e3)
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (39), (364), (603), (659), (821), (5097),
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | (5140), (5286), (5300), (5419), (function-axioms)
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #389.
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | End of split
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | (5420) ~ (all_12_1 = e4)
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | REDUCE: (666), (5420) imply:
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | (5421) ~ (all_4_2 = e4)
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5290) gives:
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | (5422) all_12_1 = e4
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (5422) imply:
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | (5423) all_4_2 = e4
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5421), (5423) imply:
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | (5424) $false
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5424) is inconsistent.
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | (5425) all_12_4 = e4 | all_12_9 = e4 | all_12_16 = e4
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5425) gives:
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | (5426) all_12_4 = e4
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (5426) imply:
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | (5427) all_4_5 = e4
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5427) implies:
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | (5428) all_4_5 = e4
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (516), (5428) imply:
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | (5429) all_10_60 = e4
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (727), (5428) imply:
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | (5430) ~ (all_4_17 = e4)
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (61), (5428) imply:
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | (5431) op(e4, all_4_4) = e2
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (777), (5428) imply:
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | (5432) op(e4, e2) = all_10_2
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (794), (5428) imply:
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | (5433) op(e4, e4) = all_10_27
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_0,
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | all_10_27, e4, e4, simplifying with (41), (5433)
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | (5434) all_10_27 = all_4_0
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (365) gives:
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | (5435) all_12_16 = e3
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (5435) imply:
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | (5436) all_4_17 = e3
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (5097), (5421), (5436), (function-axioms)
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #399.
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | (5437) ~ (all_12_16 = e3)
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (659), (5437) imply:
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | (5438) ~ (all_4_17 = e3)
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5140) gives:
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | (5439) all_8_4 = e3
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (603), (5438), (5439) are inconsistent by
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #711.
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | (5440) all_8_4 = e2 | all_8_4 = e1 | all_8_4 = e0
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5440) gives:
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (5441) all_8_4 = e2
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (603), (5441) imply:
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (5442) all_4_17 = e2
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5442) implies:
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (5443) all_4_17 = e2
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (5443) imply:
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (5444) all_10_70 = e2
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (674), (5443) imply:
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (5445) ~ (all_4_0 = e2)
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5126), (5443) imply:
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (5446) ~ (e4 = e2)
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5099), (5443) imply:
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (5447) op(e2, e4) = e0
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5097), (5443) imply:
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (5448) op(e4, e2) = e4
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_4, e0,
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e2, simplifying with (31), (5447) gives:
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (5449) all_4_4 = e0
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (668), (5449) imply:
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (5450) ~ (all_4_0 = e0)
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5091), (5449) imply:
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (5451) ~ (e4 = e0)
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.87/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5452) all_8_13 = e4
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (598), (5452) imply:
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5453) all_4_14 = e4
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5453) implies:
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5454) all_4_14 = e4
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (735), (5454) imply:
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5455) ~ (all_4_8 = e4)
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (751), (5454) imply:
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5456) ~ (all_4_15 = e4)
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5456) implies:
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5457) ~ (all_4_15 = e4)
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13), (23), (29), (35), (66), (400), (402),
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (404), (500), (506), (528), (564), (671), (673),
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5110), (5118), (5123), (5429), (5444), (5445),
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5450), (5455), (5457), (function-axioms) are
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #386.
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5458) ~ (all_8_13 = e4)
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (598), (5458) imply:
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5459) ~ (all_4_14 = e4)
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11), (13), (35), (37), (41), (51), (65),
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (328), (329), (395), (403), (414), (454), (463),
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (486), (488), (500), (506), (508), (512), (528),
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (534), (660), (663), (666), (669), (673), (772),
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2875), (5088), (5089), (5091), (5097), (5123),
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5125), (5126), (5285), (5429), (5431), (5432),
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5433), (5448), (5459), (function-axioms) are
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #383.
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (5460) all_8_4 = e1 | all_8_4 = e0
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (603), (821), (5268), (5460) are inconsistent by
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #638.
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | (5461) all_12_9 = e4 | all_12_16 = e4
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (494), (659), (5126), (5286), (5461) are
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #505.
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.60 | | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.60 | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | End of split
% 178.21/26.60 | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | End of split
% 178.21/26.60 | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | End of split
% 178.21/26.60 | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | End of split
% 178.21/26.60 | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | End of split
% 178.21/26.60 | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | End of split
% 178.21/26.60 | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | Case 2:
% 178.21/26.60 | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | (5462) ~ (all_8_9 = e4)
% 178.21/26.60 | | | | | | | | | | | | (5463) all_8_9 = e3 | all_8_9 = e2 | all_8_9 = e1 |
% 178.21/26.60 | | | | | | | | | | | | all_8_9 = e0
% 178.21/26.60 | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | REDUCE: (606), (5462) imply:
% 178.21/26.60 | | | | | | | | | | | | (5464) ~ (all_4_19 = e4)
% 178.21/26.60 | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | BETA: splitting (224) gives:
% 178.21/26.60 | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | Case 1:
% 178.21/26.60 | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | (5465) all_8_19 = e4
% 178.21/26.60 | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | COMBINE_EQS: (551), (5465) imply:
% 178.21/26.60 | | | | | | | | | | | | | (5466) all_4_23 = e4
% 178.21/26.60 | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | SIMP: (5466) implies:
% 178.21/26.60 | | | | | | | | | | | | | (5467) all_4_23 = e4
% 178.21/26.60 | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | COMBINE_EQS: (654), (5467) imply:
% 178.21/26.60 | | | | | | | | | | | | | (5468) all_10_73 = e4
% 178.21/26.60 | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | REDUCE: (718), (5467) imply:
% 178.21/26.60 | | | | | | | | | | | | | (5469) ~ (all_4_11 = e4)
% 178.21/26.60 | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | REDUCE: (755), (5467) imply:
% 178.21/26.60 | | | | | | | | | | | | | (5470) ~ (all_4_15 = e4)
% 178.21/26.60 | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | REDUCE: (759), (5467) imply:
% 178.21/26.60 | | | | | | | | | | | | | (5471) ~ (all_4_17 = e4)
% 178.21/26.60 | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | REDUCE: (764), (5467) imply:
% 178.21/26.60 | | | | | | | | | | | | | (5472) ~ (all_4_21 = e4)
% 178.21/26.60 | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | REDUCE: (790), (5467) imply:
% 178.21/26.60 | | | | | | | | | | | | | (5473) op(e4, e0) = all_10_19
% 178.21/26.60 | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | REDUCE: (811), (5467) imply:
% 178.21/26.60 | | | | | | | | | | | | | (5474) op(e1, e4) = all_10_44
% 178.21/26.60 | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_9,
% 178.21/26.60 | | | | | | | | | | | | | all_10_44, e4, e1, simplifying with (26), (5474)
% 178.21/26.60 | | | | | | | | | | | | | gives:
% 178.21/26.60 | | | | | | | | | | | | | (5475) all_10_44 = all_4_9
% 178.21/26.60 | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_17,
% 178.21/26.60 | | | | | | | | | | | | | all_10_19, e0, e4, simplifying with (37), (5473)
% 178.21/26.60 | | | | | | | | | | | | | gives:
% 178.21/26.60 | | | | | | | | | | | | | (5476) all_10_19 = all_4_17
% 178.21/26.60 | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | BETA: splitting (239) gives:
% 178.21/26.60 | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | Case 1:
% 178.21/26.60 | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | (5477) all_8_4 = e4
% 178.21/26.60 | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | REF_CLOSE: (603), (5471), (5477) are inconsistent by
% 178.21/26.60 | | | | | | | | | | | | | | sub-proof #787.
% 178.21/26.60 | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | Case 2:
% 178.21/26.60 | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | (5478) all_8_4 = e3 | all_8_4 = e2 | all_8_4 = e1 |
% 178.21/26.60 | | | | | | | | | | | | | | all_8_4 = e0
% 178.21/26.60 | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 178.21/26.60 | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | Case 1:
% 178.21/26.60 | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | (5479) all_8_10 = e4
% 178.21/26.60 | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | COMBINE_EQS: (568), (5479) imply:
% 178.21/26.60 | | | | | | | | | | | | | | | (5480) all_4_4 = e4
% 178.21/26.60 | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | REDUCE: (5091), (5480) imply:
% 178.21/26.60 | | | | | | | | | | | | | | | (5481) $false
% 178.21/26.60 | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | CLOSE: (5481) is inconsistent.
% 178.21/26.60 | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | Case 2:
% 178.21/26.60 | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | (5482) ~ (all_8_10 = e4)
% 178.21/26.60 | | | | | | | | | | | | | | | (5483) all_8_10 = e3 | all_8_10 = e2 | all_8_10 = e1 |
% 178.21/26.60 | | | | | | | | | | | | | | | all_8_10 = e0
% 178.21/26.60 | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 178.21/26.60 | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | Case 1:
% 178.21/26.60 | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | (5484) all_8_5 = e4
% 178.21/26.60 | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | REF_CLOSE: (566), (5090), (5484) are inconsistent by
% 178.21/26.60 | | | | | | | | | | | | | | | | sub-proof #784.
% 178.21/26.60 | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | Case 2:
% 178.21/26.60 | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | (5485) ~ (all_8_5 = e4)
% 178.21/26.60 | | | | | | | | | | | | | | | | (5486) all_8_5 = e3 | all_8_5 = e2 | all_8_5 = e1 |
% 178.21/26.60 | | | | | | | | | | | | | | | | all_8_5 = e0
% 178.21/26.60 | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | BETA: splitting (391) gives:
% 178.21/26.60 | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.60 | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | (5487) all_12_2 = e4
% 178.21/26.60 | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (5090), (5487) are inconsistent by
% 178.21/26.60 | | | | | | | | | | | | | | | | | sub-proof #695.
% 178.21/26.60 | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.60 | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | (5488) ~ (all_12_2 = e4)
% 178.21/26.60 | | | | | | | | | | | | | | | | | (5489) all_12_3 = e4 | all_12_5 = e4 | all_12_10 = e4 |
% 178.21/26.60 | | | | | | | | | | | | | | | | | all_12_17 = e4
% 178.21/26.60 | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | BETA: splitting (396) gives:
% 178.21/26.60 | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.60 | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | (5490) all_12_1 = e4
% 178.21/26.60 | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (5490) imply:
% 178.21/26.60 | | | | | | | | | | | | | | | | | | (5491) all_4_2 = e4
% 178.21/26.60 | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (500), (5491) imply:
% 178.21/26.60 | | | | | | | | | | | | | | | | | | (5492) all_10_55 = e4
% 178.21/26.60 | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | REDUCE: (697), (5491) imply:
% 178.21/26.60 | | | | | | | | | | | | | | | | | | (5493) ~ (all_4_3 = e4)
% 178.21/26.60 | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | SIMP: (5493) implies:
% 178.21/26.60 | | | | | | | | | | | | | | | | | | (5494) ~ (all_4_3 = e4)
% 178.21/26.60 | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | REDUCE: (701), (5491) imply:
% 178.21/26.60 | | | | | | | | | | | | | | | | | | (5495) ~ (all_4_5 = e4)
% 178.21/26.60 | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | SIMP: (5495) implies:
% 178.21/26.60 | | | | | | | | | | | | | | | | | | (5496) ~ (all_4_5 = e4)
% 178.21/26.60 | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | REDUCE: (698), (5491) imply:
% 178.21/26.60 | | | | | | | | | | | | | | | | | | (5497) ~ (all_4_6 = e4)
% 178.21/26.60 | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | SIMP: (5497) implies:
% 178.21/26.60 | | | | | | | | | | | | | | | | | | (5498) ~ (all_4_6 = e4)
% 178.21/26.60 | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | REDUCE: (702), (5491) imply:
% 178.21/26.60 | | | | | | | | | | | | | | | | | | (5499) ~ (all_4_10 = e4)
% 178.21/26.60 | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | SIMP: (5499) implies:
% 178.21/26.60 | | | | | | | | | | | | | | | | | | (5500) ~ (all_4_10 = e4)
% 178.21/26.60 | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | REDUCE: (703), (5491) imply:
% 178.21/26.60 | | | | | | | | | | | | | | | | | | (5501) ~ (all_4_17 = e4)
% 178.21/26.60 | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | REDUCE: (793), (5491) imply:
% 178.21/26.60 | | | | | | | | | | | | | | | | | | (5502) op(e4, e4) = all_10_26
% 178.21/26.60 | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_0,
% 178.21/26.60 | | | | | | | | | | | | | | | | | | all_10_26, e4, e4, simplifying with (41), (5502)
% 178.21/26.60 | | | | | | | | | | | | | | | | | | gives:
% 178.21/26.60 | | | | | | | | | | | | | | | | | | (5503) all_10_26 = all_4_0
% 178.21/26.60 | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | BETA: splitting (381) gives:
% 178.21/26.60 | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.60 | | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | (5504) all_12_6 = e4
% 178.21/26.60 | | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (665), (5091), (5504) are inconsistent by
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | sub-proof #780.
% 178.21/26.60 | | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.60 | | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | (5505) all_12_7 = e4 | all_12_8 = e4 | all_12_11 = e4 |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | all_12_18 = e4
% 178.21/26.60 | | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | BETA: splitting (365) gives:
% 178.21/26.60 | | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | (5506) all_12_16 = e3
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (5506) imply:
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | (5507) all_4_17 = e3
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (5507) imply:
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | (5508) all_10_70 = e3
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | REDUCE: (674), (5507) imply:
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | (5509) ~ (all_4_0 = e3)
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | REDUCE: (5471), (5507) imply:
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | (5510) ~ (e4 = e3)
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | REDUCE: (5099), (5507) imply:
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | (5511) op(e3, e4) = e0
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_1, e0,
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | e4, e3, simplifying with (36), (5511) gives:
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | (5512) all_4_1 = e0
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (512), (5512) imply:
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | (5513) all_10_51 = e0
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | REDUCE: (667), (5512) imply:
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | (5514) ~ (all_4_0 = e0)
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | REDUCE: (675), (5512) imply:
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | (5515) ~ (all_4_4 = e0)
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | SIMP: (5515) implies:
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | (5516) ~ (all_4_4 = e0)
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | (5517) all_8_8 = e4
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (595), (5517) imply:
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | (5518) all_4_12 = e4
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | SIMP: (5518) implies:
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | (5519) all_4_12 = e4
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | REDUCE: (747), (5519) imply:
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | (5520) ~ (all_4_14 = e4)
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | SIMP: (5520) implies:
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | (5521) ~ (all_4_14 = e4)
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5505) gives:
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | (5522) all_12_7 = e4
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (462), (5522) imply:
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | (5523) all_4_6 = e4
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5498), (5523) imply:
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | (5524) $false
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5524) is inconsistent.
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | (5525) all_12_8 = e4 | all_12_11 = e4 | all_12_18 = e4
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5525) gives:
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | (5526) all_12_8 = e4
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (664), (5526) imply:
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | (5527) all_4_8 = e4
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5527) implies:
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | (5528) all_4_8 = e4
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (455), (5528) imply:
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | (5529) all_10_62 = e4
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (58), (5528) imply:
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | (5530) op(e4, e4) = e2
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_0, e2,
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | e4, e4, simplifying with (41), (5530) gives:
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | (5531) all_4_0 = e2
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (668), (5531) imply:
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | (5532) ~ (all_4_4 = e2)
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5532) implies:
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | (5533) ~ (all_4_4 = e2)
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (672), (5531) imply:
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | (5534) ~ (all_4_5 = e2)
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5534) implies:
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | (5535) ~ (all_4_5 = e2)
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5089), (5531) imply:
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | (5536) ~ (e4 = e2)
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.60 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5110) gives:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | (5537) all_10_55 = e3
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5492), (5537) imply:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | (5538) e4 = e3
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (5538) imply:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | (5539) $false
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5539) is inconsistent.
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | (5540) all_10_60 = e2 | all_10_65 = e1 | all_10_70 = e0
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5115) gives:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | (5541) all_10_51 = e3
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5513), (5541) imply:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | (5542) e3 = e0
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (5542) imply:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | (5543) $false
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5543) is inconsistent.
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | (5544) ~ (all_10_51 = e3)
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | (5545) all_10_52 = e2 | all_10_53 = e1 | all_10_54 = e0
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5513), (5544) imply:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | (5546) ~ (e3 = e0)
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5540) gives:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | (5547) all_10_60 = e2
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (516), (5535), (5547) are inconsistent by
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #585.
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | (5548) all_10_65 = e1 | all_10_70 = e0
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5548) gives:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5549) all_10_65 = e1
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (528), (5549) imply:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5550) all_4_10 = e1
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (5550) imply:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5551) ~ (all_4_14 = e1)
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5551) implies:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5552) ~ (all_4_14 = e1)
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5107) gives:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5553) all_10_57 = e3
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (523), (5553) imply:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5554) all_4_6 = e3
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (5554) imply:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5555) ~ (all_4_4 = e3)
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5483) gives:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5556) all_8_10 = e3
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (568), (5555), (5556) are inconsistent by
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #661.
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5557) all_8_10 = e2 | all_8_10 = e1 | all_8_10 = e0
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (424), (463), (534), (568), (682), (820), (5516),
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5533), (5545), (5557) are inconsistent by
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #382.
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5558) all_10_62 = e2 | all_10_67 = e1 | all_10_72 = e0
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5558) gives:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5559) all_10_62 = e2
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (5529), (5559) are inconsistent by sub-proof
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #381.
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5560) all_10_67 = e1 | all_10_72 = e0
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (448), (532), (825), (5552), (5560) are
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #393.
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5561) all_10_70 = e0
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5508), (5561) are inconsistent by sub-proof
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | #391.
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | (5562) all_12_11 = e4 | all_12_18 = e4
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (454), (658), (5472), (5521), (5562) are
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #772.
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | (5563) ~ (all_8_8 = e4)
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | REDUCE: (595), (5563) imply:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | (5564) ~ (all_4_12 = e4)
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5489) gives:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | (5565) all_12_3 = e4
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (482), (5565) imply:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | (5566) all_4_3 = e4
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5494), (5566) imply:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | (5567) $false
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5567) is inconsistent.
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | (5568) all_12_5 = e4 | all_12_10 = e4 | all_12_17 = e4
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5568) gives:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | (5569) all_12_5 = e4
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (5569) imply:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | (5570) all_4_7 = e4
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5570) implies:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | (5571) all_4_7 = e4
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (728), (5571) imply:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | (5572) ~ (all_4_8 = e4)
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5572) implies:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | (5573) ~ (all_4_8 = e4)
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (29), (66), (400), (402), (506), (564),
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | (5118), (5470), (5509), (5514), (5573),
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | #605.
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | (5574) all_12_10 = e4 | all_12_17 = e4
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (470), (663), (5464), (5564), (5574) are
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #627.
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | (5575) ~ (all_12_16 = e3)
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | REDUCE: (659), (5575) imply:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | (5576) ~ (all_4_17 = e3)
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (39), (364), (603), (659), (821), (5097),
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | (5478), (5496), (5500), (5576), (function-axioms)
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #389.
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.61 | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.61 | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.61 | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | (5577) ~ (all_12_1 = e4)
% 178.21/26.61 | | | | | | | | | | | | | | | | | | (5578) all_12_3 = e4 | all_12_7 = e4 | all_12_13 = e4 |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | all_12_21 = e4
% 178.21/26.61 | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | REDUCE: (666), (5577) imply:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | (5579) ~ (all_4_2 = e4)
% 178.21/26.61 | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | BETA: splitting (364) gives:
% 178.21/26.61 | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | (5580) all_12_16 = e2
% 178.21/26.61 | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (5580) imply:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | (5581) all_4_17 = e2
% 178.21/26.61 | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (5581) imply:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | (5582) all_10_70 = e2
% 178.21/26.61 | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | REDUCE: (674), (5581) imply:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | (5583) ~ (all_4_0 = e2)
% 178.21/26.61 | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | REDUCE: (727), (5581) imply:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | (5584) ~ (all_4_5 = e2)
% 178.21/26.61 | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | REDUCE: (757), (5581) imply:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | (5585) ~ (all_4_19 = e2)
% 178.21/26.61 | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | SIMP: (5585) implies:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | (5586) ~ (all_4_19 = e2)
% 178.21/26.61 | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | REDUCE: (5099), (5581) imply:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | (5587) op(e2, e4) = e0
% 178.21/26.61 | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | REDUCE: (5097), (5581) imply:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | (5588) op(e4, e2) = e4
% 178.21/26.61 | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_4, e0,
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | e4, e2, simplifying with (31), (5587) gives:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | (5589) all_4_4 = e0
% 178.21/26.61 | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_5, e4,
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | e2, e4, simplifying with (39), (5588) gives:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | (5590) all_4_5 = e4
% 178.21/26.61 | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (516), (5590) imply:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | (5591) all_10_60 = e4
% 178.21/26.61 | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (5589) imply:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | (5592) all_12_6 = e0
% 178.21/26.61 | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | REDUCE: (668), (5589) imply:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | (5593) ~ (all_4_0 = e0)
% 178.21/26.61 | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | REDUCE: (675), (5589) imply:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | (5594) ~ (all_4_1 = e0)
% 178.21/26.61 | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | REDUCE: (686), (5589) imply:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | (5595) ~ (all_4_14 = e0)
% 178.21/26.61 | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | SIMP: (5595) implies:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | (5596) ~ (all_4_14 = e0)
% 178.21/26.61 | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | REDUCE: (5091), (5589) imply:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | (5597) ~ (e4 = e0)
% 178.21/26.61 | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | REDUCE: (723), (5590) imply:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | (5598) ~ (all_4_8 = e4)
% 178.21/26.61 | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | SIMP: (5598) implies:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | (5599) ~ (all_4_8 = e4)
% 178.21/26.61 | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | REDUCE: (726), (5590) imply:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | (5600) ~ (all_4_10 = e4)
% 178.21/26.61 | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | SIMP: (5600) implies:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | (5601) ~ (all_4_10 = e4)
% 178.21/26.61 | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | REDUCE: (794), (5590) imply:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | (5602) op(e4, e4) = all_10_27
% 178.21/26.61 | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_0,
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | all_10_27, e4, e4, simplifying with (41), (5602)
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | gives:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | (5603) all_10_27 = all_4_0
% 178.21/26.61 | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | BETA: splitting (321) gives:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | (5604) all_10_65 = e4
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (528), (5601), (5604) are inconsistent by
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | sub-proof #790.
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | (5605) all_10_66 = e3 | all_10_67 = e2 | all_10_68 = e1 |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | all_10_69 = e0
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | BETA: splitting (381) gives:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | (5606) all_12_6 = e4
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5592), (5606) imply:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | (5607) e4 = e0
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (5607) imply:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | (5608) $false
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | CLOSE: (5608) is inconsistent.
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | (5609) all_12_7 = e4 | all_12_8 = e4 | all_12_11 = e4 |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | all_12_18 = e4
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | (5610) all_8_11 = e4
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (578), (5610) imply:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | (5611) all_4_6 = e4
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | SIMP: (5611) implies:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | (5612) all_4_6 = e4
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (704), (5612) imply:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | (5613) ~ (all_4_3 = e4)
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13), (23), (29), (35), (66), (400), (402),
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | (404), (500), (506), (528), (564), (671), (673),
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | (5110), (5118), (5470), (5582), (5583), (5591),
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | (5593), (5599), (5613), (function-axioms) are
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #386.
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | (5614) ~ (all_8_11 = e4)
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (578), (5614) imply:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | (5615) ~ (all_4_6 = e4)
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5578) gives:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | (5616) all_12_3 = e4
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (482), (5616) imply:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | (5617) all_4_3 = e4
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (514), (5617) imply:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | (5618) all_10_56 = e4
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (704), (5617) imply:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | (5619) ~ (all_4_6 = e4)
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (63), (5617) imply:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | (5620) op(e4, e4) = e3
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5609) gives:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | (5621) all_12_7 = e4
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (462), (5621) imply:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | (5622) all_4_6 = e4
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5615), (5622) imply:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | (5623) $false
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5623) is inconsistent.
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | (5624) all_12_8 = e4 | all_12_11 = e4 | all_12_18 = e4
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5624) gives:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | (5625) all_12_8 = e4
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (664), (5599), (5625) are inconsistent by
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #681.
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | (5626) all_12_11 = e4 | all_12_18 = e4
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5626) gives:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | (5627) all_12_11 = e4
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (454), (5627) imply:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | (5628) all_4_14 = e4
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5628) implies:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | (5629) all_4_14 = e4
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (532), (5629) imply:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | (5630) all_10_67 = e4
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (747), (5629) imply:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | (5631) ~ (all_4_12 = e4)
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_0, e3,
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e4, simplifying with (41), (5620) gives:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | (5632) all_4_0 = e3
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (671), (5632) imply:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | (5633) ~ (all_4_2 = e3)
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5633) implies:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | (5634) ~ (all_4_2 = e3)
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5110) gives:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5635) all_10_55 = e3
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (500), (5635) imply:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5636) all_4_2 = e3
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5634), (5636) imply:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5637) $false
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5637) is inconsistent.
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5638) all_10_60 = e2 | all_10_65 = e1 | all_10_70 = e0
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5638) gives:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5639) all_10_60 = e2
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (5591), (5639) are inconsistent by sub-proof
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #388.
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5640) ~ (all_10_60 = e2)
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5641) all_10_65 = e1 | all_10_70 = e0
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5641) gives:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5642) all_10_65 = e1
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (528), (5642) imply:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5643) all_4_10 = e1
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (5643) imply:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5644) ~ (all_4_15 = e1)
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5644) implies:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5645) ~ (all_4_15 = e1)
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5605) gives:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5646) all_10_66 = e3
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (472), (5646) imply:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5647) all_4_12 = e3
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5647) implies:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5648) all_4_12 = e3
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (663), (5648) imply:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5649) all_12_10 = e3
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (750), (5648) imply:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5650) ~ (all_4_19 = e3)
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5650) implies:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5651) ~ (all_4_19 = e3)
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5631), (5648) imply:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5652) ~ (e4 = e3)
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5113) gives:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5653) all_10_56 = e3
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5618), (5653) imply:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5654) e4 = e3
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (5654) imply:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5655) $false
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5655) is inconsistent.
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5656) all_10_61 = e2 | all_10_66 = e1 | all_10_71 = e0
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (387) gives:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5657) all_12_2 = e0
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (5657) imply:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5658) all_4_1 = e0
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5658) implies:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5659) all_4_1 = e0
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5594), (5659) imply:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5660) $false
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5660) is inconsistent.
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5661) all_12_3 = e0 | all_12_5 = e0 | all_12_10 = e0 |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_17 = e0
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5661) gives:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5662) all_12_3 = e0
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5616), (5662) imply:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5663) e4 = e0
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (5663) imply:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5664) $false
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5664) is inconsistent.
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5665) all_12_5 = e0 | all_12_10 = e0 | all_12_17 = e0
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5463) gives:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5666) all_8_9 = e3
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (606), (5651), (5666) are inconsistent by
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #526.
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5667) all_8_9 = e2 | all_8_9 = e1 | all_8_9 = e0
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5667) gives:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5668) all_8_9 = e2
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (606), (5586), (5668) are inconsistent by
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #525.
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5669) all_8_9 = e1 | all_8_9 = e0
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5665) gives:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5670) all_12_5 = e0
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (5670) imply:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5671) all_4_7 = e0
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5671) implies:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5672) all_4_7 = e0
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (518), (5672) imply:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5673) all_10_61 = e0
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (732), (5672) imply:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5674) ~ (all_4_19 = e0)
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5656) gives:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5675) all_10_61 = e2
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5673), (5675) imply:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5676) e2 = e0
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (5676) imply:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5677) $false
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5677) is inconsistent.
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5678) all_10_66 = e1 | all_10_71 = e0
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (472), (547), (606), (750), (823), (5669), (5678)
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #380.
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5679) all_12_10 = e0 | all_12_17 = e0
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5679) gives:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5680) all_12_10 = e0
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5649), (5680) imply:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5681) e3 = e0
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5681) implies:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5682) e3 = e0
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (5682) imply:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5683) $false
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5683) is inconsistent.
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5684) all_12_17 = e0
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (470), (5684) imply:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5685) all_4_19 = e0
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (823), (5685) imply:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5686) $false
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5686) is inconsistent.
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5687) all_10_67 = e2 | all_10_68 = e1 | all_10_69 = e0
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (431), (560), (826), (5630), (5645), (5687)
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #395.
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5688) all_10_70 = e0
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5582), (5688) are inconsistent by sub-proof
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #387.
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (5689) all_12_18 = e4
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (658), (5472), (5689) are inconsistent by
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #773.
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | (5690) all_12_7 = e4 | all_12_13 = e4 | all_12_21 = e4
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (462), (656), (662), (5084), (5469), (5615),
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | (5690) are inconsistent by sub-proof #405.
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.62 | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | (5691) ~ (all_12_16 = e2)
% 178.21/26.62 | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | REDUCE: (659), (5691) imply:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | (5692) ~ (all_4_17 = e2)
% 178.21/26.62 | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | BETA: splitting (376) gives:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | (5693) all_12_9 = e4
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (5693) imply:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | (5694) all_4_10 = e4
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | SIMP: (5694) implies:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | (5695) all_4_10 = e4
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (528), (5695) imply:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | (5696) all_10_65 = e4
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | REDUCE: (726), (5695) imply:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | (5697) ~ (all_4_5 = e4)
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | REDUCE: (742), (5695) imply:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | (5698) ~ (all_4_12 = e4)
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | SIMP: (5698) implies:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | (5699) ~ (all_4_12 = e4)
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | REDUCE: (746), (5695) imply:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | (5700) ~ (all_4_17 = e4)
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | REDUCE: (56), (5695) imply:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | (5701) op(e4, all_4_9) = e1
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | (5702) all_8_2 = e4
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (583), (5702) imply:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | (5703) all_4_5 = e4
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | REDUCE: (5697), (5703) imply:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | (5704) $false
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | CLOSE: (5704) is inconsistent.
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | (5705) ~ (all_8_2 = e4)
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | (5706) all_8_2 = e3 | all_8_2 = e2 | all_8_2 = e1 |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | all_8_2 = e0
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (365) gives:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | (5707) all_12_16 = e3
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (5707) imply:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | (5708) all_4_17 = e3
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (5097), (5579), (5708), (function-axioms)
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #399.
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | (5709) ~ (all_12_16 = e3)
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (659), (5709) imply:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | (5710) ~ (all_4_17 = e3)
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5478) gives:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | (5711) all_8_4 = e3
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (603), (5710), (5711) are inconsistent by
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #711.
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | (5712) all_8_4 = e2 | all_8_4 = e1 | all_8_4 = e0
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5712) gives:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | (5713) all_8_4 = e2
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (603), (5692), (5713) are inconsistent by
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #710.
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | (5714) all_8_4 = e1 | all_8_4 = e0
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5714) gives:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | (5715) all_8_4 = e1
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (603), (5715) imply:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | (5716) all_4_17 = e1
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5716) implies:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | (5717) all_4_17 = e1
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (5717) imply:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | (5718) all_10_70 = e1
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (674), (5717) imply:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | (5719) ~ (all_4_0 = e1)
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (703), (5717) imply:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | (5720) ~ (all_4_2 = e1)
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (757), (5717) imply:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | (5721) ~ (all_4_19 = e1)
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5721) implies:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | (5722) ~ (all_4_19 = e1)
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5471), (5717) imply:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | (5723) ~ (e4 = e1)
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5099), (5717) imply:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | (5724) op(e1, e4) = e0
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5097), (5717) imply:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | (5725) op(e4, e1) = e4
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_9, e0,
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | e4, e1, simplifying with (26), (5724) gives:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | (5726) all_4_9 = e0
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (669), (5726) imply:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | (5727) ~ (all_4_0 = e0)
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (676), (5726) imply:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | (5728) ~ (all_4_1 = e0)
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (682), (5726) imply:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | (5729) ~ (all_4_4 = e0)
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5092), (5726) imply:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | (5730) ~ (e4 = e0)
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (399) gives:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (5731) all_12_0 = e1
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (5731) imply:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (5732) all_4_0 = e1
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5719), (5732) imply:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (5733) $false
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5733) is inconsistent.
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (5734) ~ (all_12_0 = e1)
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (5735) all_12_2 = e1 | all_12_6 = e1 | all_12_12 = e1 |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_20 = e1
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (398) gives:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5736) all_12_0 = e0
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (5736) imply:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5737) all_4_0 = e0
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5727), (5737) imply:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5738) $false
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5738) is inconsistent.
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5739) ~ (all_12_0 = e0)
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5740) all_12_1 = e0 | all_12_4 = e0 | all_12_9 = e0 |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_16 = e0
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (401) gives:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5741) all_12_0 = e2
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (5741) imply:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5742) all_4_0 = e2
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (667), (5742) imply:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5743) ~ (all_4_1 = e2)
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5743) implies:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5744) ~ (all_4_1 = e2)
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (671), (5742) imply:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5745) ~ (all_4_2 = e2)
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5745) implies:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5746) ~ (all_4_2 = e2)
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (668), (5742) imply:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5747) ~ (all_4_4 = e2)
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5747) implies:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5748) ~ (all_4_4 = e2)
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (672), (5742) imply:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5749) ~ (all_4_5 = e2)
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5749) implies:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5750) ~ (all_4_5 = e2)
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (66), (5742) imply:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5751) op(e2, e2) = e4
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5110) gives:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5752) all_10_55 = e3
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (500), (5752) imply:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5753) all_4_2 = e3
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5753) implies:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5754) all_4_2 = e3
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (5754) imply:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5755) all_12_1 = e3
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (701), (5754) imply:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5756) ~ (all_4_5 = e3)
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5756) implies:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5757) ~ (all_4_5 = e3)
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (698), (5754) imply:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5758) ~ (all_4_6 = e3)
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5758) implies:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5759) ~ (all_4_6 = e3)
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (699), (5754) imply:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5760) ~ (all_4_11 = e3)
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5760) implies:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5761) ~ (all_4_11 = e3)
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5115) gives:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5762) all_10_51 = e3
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (512), (5762) imply:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5763) all_4_1 = e3
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5763) implies:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5764) all_4_1 = e3
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (5764) imply:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5765) all_12_2 = e3
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (675), (5764) imply:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5766) ~ (all_4_4 = e3)
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5766) implies:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5767) ~ (all_4_4 = e3)
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (681), (5764) imply:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5768) ~ (all_4_19 = e3)
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5768) implies:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5769) ~ (all_4_19 = e3)
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5090), (5764) imply:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5770) ~ (e4 = e3)
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5735) gives:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5771) all_12_2 = e1
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5765), (5771) are inconsistent by sub-proof
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #651.
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5772) all_12_6 = e1 | all_12_12 = e1 | all_12_20 = e1
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5772) gives:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5773) all_12_6 = e1
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (5773) imply:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5774) all_4_4 = e1
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5774) implies:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5775) all_4_4 = e1
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (5775) imply:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5776) ~ (all_4_14 = e1)
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5776) implies:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5777) ~ (all_4_14 = e1)
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5463) gives:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5778) all_8_9 = e3
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (606), (5778) imply:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5779) all_4_19 = e3
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5769), (5779) imply:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5780) $false
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5780) is inconsistent.
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5781) all_8_9 = e2 | all_8_9 = e1 | all_8_9 = e0
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5107) gives:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5782) all_10_57 = e3
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (523), (5782) imply:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5783) all_4_6 = e3
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5759), (5783) imply:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5784) $false
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5784) is inconsistent.
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5785) all_10_62 = e2 | all_10_67 = e1 | all_10_72 = e0
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5706) gives:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5786) all_8_2 = e3
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (5757), (5786) are inconsistent by
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #753.
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5787) all_8_2 = e2 | all_8_2 = e1 | all_8_2 = e0
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5781) gives:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5788) all_8_9 = e2
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (606), (5788) imply:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5789) all_4_19 = e2
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5789) implies:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5790) all_4_19 = e2
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (547), (5790) imply:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5791) all_10_71 = e2
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5787) gives:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5792) all_8_2 = e2
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (5750), (5792) are inconsistent by
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #752.
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5793) all_8_2 = e1 | all_8_2 = e0
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5793) gives:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5794) all_8_2 = e1
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (583), (5794) imply:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5795) all_4_5 = e1
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5795) implies:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5796) all_4_5 = e1
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (5796) imply:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5797) all_12_4 = e1
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (11), (37), (659), (5097), (5471),
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5693), (5740), (5755), (5797), (function-axioms)
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #379.
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5798) all_8_2 = e0
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (583), (5798) imply:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5799) all_4_5 = e0
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5799) implies:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5800) all_4_5 = e0
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (723), (5800) imply:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5801) ~ (all_4_8 = e0)
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5801) implies:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5802) ~ (all_4_8 = e0)
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5113) gives:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5803) all_10_56 = e3
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (29), (470), (478), (482), (514), (663),
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (728), (5464), (5489), (5699), (5751), (5803),
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #378.
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5804) all_10_61 = e2 | all_10_66 = e1 | all_10_71 = e0
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5785) gives:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5805) all_10_62 = e2
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (455), (5805) imply:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5806) all_4_8 = e2
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5806) implies:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5807) all_4_8 = e2
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (728), (5807) imply:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5808) ~ (all_4_7 = e2)
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (733), (5807) imply:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5809) ~ (all_4_13 = e2)
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5809) implies:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5810) ~ (all_4_13 = e2)
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5804) gives:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5811) all_10_61 = e2
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (518), (5811) imply:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5812) all_4_7 = e2
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5808), (5812) imply:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5813) $false
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5813) is inconsistent.
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5814) all_10_66 = e1 | all_10_71 = e0
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5814) gives:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5815) all_10_66 = e1
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (472), (5815) imply:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5816) all_4_12 = e1
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5816) implies:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5817) all_4_12 = e1
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (5817) imply:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5818) ~ (all_4_15 = e1)
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5818) implies:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5819) ~ (all_4_15 = e1)
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5104) gives:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5820) all_10_58 = e3
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (5820) imply:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5821) all_4_11 = e3
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5761), (5821) imply:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5822) $false
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5822) is inconsistent.
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5823) all_10_63 = e2 | all_10_68 = e1 | all_10_73 = e0
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (431), (435), (5468), (5810), (5819), (5823)
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #376.
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5824) all_10_71 = e0
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5791), (5824) are inconsistent by sub-proof
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #375.
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5825) all_10_67 = e1 | all_10_72 = e0
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (448), (532), (825), (5777), (5825) are
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #393.
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5826) all_8_9 = e1 | all_8_9 = e0
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (606), (823), (5722), (5826) are inconsistent by
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #512.
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5827) ~ (all_12_6 = e1)
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (665), (5827) imply:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5828) ~ (all_4_4 = e1)
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (568), (5483), (5729), (5748), (5767), (5828) are
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #554.
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5829) ~ (all_10_51 = e3)
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5830) all_10_52 = e2 | all_10_53 = e1 | all_10_54 = e0
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (512), (5829) imply:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5831) ~ (all_4_1 = e3)
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (403) gives:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5832) all_12_0 = e3
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (5741), (5832) are inconsistent by sub-proof
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #413.
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5833) ~ (all_12_0 = e3)
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5834) all_12_2 = e3 | all_12_6 = e3 | all_12_12 = e3 |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_20 = e3
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5741), (5833) imply:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5835) ~ (e3 = e2)
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5834) gives:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5836) all_12_2 = e3
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (5836) imply:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5837) all_4_1 = e3
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5837) implies:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5838) all_4_1 = e3
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5831), (5838) imply:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5839) $false
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5839) is inconsistent.
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5840) ~ (all_12_2 = e3)
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5841) all_12_6 = e3 | all_12_12 = e3 | all_12_20 = e3
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5841) gives:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5842) all_12_6 = e3
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (5842) imply:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5843) all_4_4 = e3
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5843) implies:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5844) all_4_4 = e3
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (463), (5844) imply:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5845) all_10_52 = e3
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5830) gives:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5846) all_10_52 = e2
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (5845), (5846) are inconsistent by sub-proof
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #374.
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5847) all_10_53 = e1 | all_10_54 = e0
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (424), (534), (820), (5092), (5701), (5725),
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5847), (function-axioms) are inconsistent by
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #372.
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5848) ~ (all_12_6 = e3)
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (665), (5848) imply:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5849) ~ (all_4_4 = e3)
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (463), (534), (566), (568), (675), (676),
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (682), (5088), (5483), (5486), (5744), (5748),
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5830), (5831), (5849) are inconsistent by
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #409.
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5850) all_10_60 = e2 | all_10_65 = e1 | all_10_70 = e0
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5850) gives:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5851) all_10_60 = e2
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (516), (5750), (5851) are inconsistent by
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #585.
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5852) all_10_65 = e1 | all_10_70 = e0
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (37), (488), (5097), (5471), (5696), (5852),
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #401.
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5853) ~ (all_12_0 = e2)
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (506), (5853) imply:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5854) ~ (all_4_0 = e2)
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5118) gives:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5855) all_8_0 = e3
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (564), (5855) imply:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5856) all_4_0 = e3
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5856) implies:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5857) all_4_0 = e3
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (667), (5857) imply:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5858) ~ (all_4_1 = e3)
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5858) implies:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5859) ~ (all_4_1 = e3)
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (671), (5857) imply:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5860) ~ (all_4_2 = e3)
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5860) implies:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5861) ~ (all_4_2 = e3)
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5089), (5857) imply:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5862) ~ (e4 = e3)
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5110) gives:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5863) all_10_55 = e3
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (500), (5861), (5863) are inconsistent by
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #624.
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5864) all_10_60 = e2 | all_10_65 = e1 | all_10_70 = e0
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5864) gives:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5865) all_10_60 = e2
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (516), (5865) imply:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5866) all_4_5 = e2
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5866) implies:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5867) all_4_5 = e2
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (722), (5867) imply:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5868) ~ (all_4_7 = e2)
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5868) implies:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5869) ~ (all_4_7 = e2)
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (5867) imply:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5870) op(all_4_4, e2) = e4
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5115) gives:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5871) all_10_51 = e3
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (512), (5859), (5871) are inconsistent by
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #623.
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5872) ~ (all_10_51 = e3)
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5873) all_10_52 = e2 | all_10_53 = e1 | all_10_54 = e0
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5873) gives:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5874) all_10_52 = e2
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (463), (5874) imply:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5875) all_4_4 = e2
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5875) implies:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5876) all_4_4 = e2
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (675), (5876) imply:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5877) ~ (all_4_1 = e2)
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5870), (5876) imply:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5878) op(e2, e2) = e4
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5486) gives:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5879) all_8_5 = e3
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (566), (5859), (5879) are inconsistent by
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #764.
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5880) all_8_5 = e2 | all_8_5 = e1 | all_8_5 = e0
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5735) gives:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5881) all_12_2 = e1
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (5881) imply:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5882) all_4_1 = e1
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5882) implies:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5883) all_4_1 = e1
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (680), (5883) imply:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5884) ~ (all_4_12 = e1)
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5884) implies:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5885) ~ (all_4_12 = e1)
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5113) gives:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5886) all_10_56 = e3
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (29), (470), (478), (482), (514), (663),
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (728), (5464), (5489), (5699), (5878), (5886),
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #378.
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5887) all_10_61 = e2 | all_10_66 = e1 | all_10_71 = e0
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (472), (518), (547), (823), (5869), (5885), (5887)
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #722.
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5888) ~ (all_12_2 = e1)
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (486), (5888) imply:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5889) ~ (all_4_1 = e1)
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5880) gives:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5890) all_8_5 = e2
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (566), (5877), (5890) are inconsistent by
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #763.
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5891) all_8_5 = e1 | all_8_5 = e0
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (566), (5728), (5889), (5891) are inconsistent by
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #658.
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5892) all_10_53 = e1 | all_10_54 = e0
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (534), (5088), (5092), (5701), (5725),
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5892), (function-axioms) are inconsistent by
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #371.
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5893) all_10_65 = e1 | all_10_70 = e0
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12), (5696), (5718), (5893) are inconsistent
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #369.
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5894) all_8_0 = e2 | all_8_0 = e1 | all_8_0 = e0
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (564), (5719), (5727), (5854), (5894) are
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #608.
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | (5895) all_8_4 = e0
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (603), (821), (5895) are inconsistent by sub-proof
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | | #708.
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | (5896) ~ (all_12_9 = e4)
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | REDUCE: (494), (5896) imply:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | (5897) ~ (all_4_10 = e4)
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | BETA: splitting (363) gives:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | (5898) all_12_16 = e1
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (5898) imply:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | (5899) all_4_17 = e1
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (5097), (5897), (5899), (function-axioms)
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #390.
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | (5900) ~ (all_12_16 = e1)
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | REDUCE: (659), (5900) imply:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | (5901) ~ (all_4_17 = e1)
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5478) gives:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | (5902) all_8_4 = e3
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (603), (5902) imply:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | (5903) all_4_17 = e3
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | SIMP: (5903) implies:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | (5904) all_4_17 = e3
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (5097), (5579), (5904), (function-axioms)
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #399.
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | (5905) all_8_4 = e2 | all_8_4 = e1 | all_8_4 = e0
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (603), (821), (5692), (5901), (5905) are
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #368.
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.63 | | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.63 | | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | | End of split
% 178.21/26.63 | | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | End of split
% 178.21/26.63 | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | End of split
% 178.21/26.63 | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | End of split
% 178.21/26.63 | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | End of split
% 178.21/26.63 | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | Case 2:
% 178.21/26.63 | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | (5906) ~ (all_8_19 = e4)
% 178.21/26.63 | | | | | | | | | | | | | (5907) all_8_19 = e3 | all_8_19 = e2 | all_8_19 = e1 |
% 178.21/26.63 | | | | | | | | | | | | | all_8_19 = e0
% 178.21/26.63 | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | REDUCE: (551), (5906) imply:
% 178.21/26.63 | | | | | | | | | | | | | (5908) ~ (all_4_23 = e4)
% 178.21/26.63 | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | BETA: splitting (366) gives:
% 178.21/26.63 | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | Case 1:
% 178.21/26.63 | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | (5909) all_12_16 = e4
% 178.21/26.63 | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | COMBINE_EQS: (659), (5909) imply:
% 178.21/26.63 | | | | | | | | | | | | | | (5910) all_4_17 = e4
% 178.21/26.63 | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | REDUCE: (5099), (5910) imply:
% 178.21/26.63 | | | | | | | | | | | | | | (5911) op(e4, e4) = e0
% 178.21/26.63 | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | REDUCE: (5097), (5910) imply:
% 178.21/26.63 | | | | | | | | | | | | | | (5912) op(e4, e4) = e4
% 178.21/26.63 | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | REF_CLOSE: (11), (41), (5911), (5912), (function-axioms) are
% 178.21/26.63 | | | | | | | | | | | | | | inconsistent by sub-proof #367.
% 178.21/26.63 | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | Case 2:
% 178.21/26.63 | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | (5913) all_12_17 = e4 | all_12_18 = e4 | all_12_19 = e4 |
% 178.21/26.63 | | | | | | | | | | | | | | all_12_24 = e4
% 178.21/26.63 | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | BETA: splitting (5913) gives:
% 178.21/26.63 | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | Case 1:
% 178.21/26.63 | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | (5914) all_12_17 = e4
% 178.21/26.63 | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | COMBINE_EQS: (470), (5914) imply:
% 178.21/26.63 | | | | | | | | | | | | | | | (5915) all_4_19 = e4
% 178.21/26.63 | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | REDUCE: (5464), (5915) imply:
% 178.21/26.63 | | | | | | | | | | | | | | | (5916) $false
% 178.21/26.63 | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | CLOSE: (5916) is inconsistent.
% 178.21/26.63 | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | Case 2:
% 178.21/26.63 | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | (5917) all_12_18 = e4 | all_12_19 = e4 | all_12_24 = e4
% 178.21/26.63 | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | BETA: splitting (5917) gives:
% 178.21/26.63 | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | Case 1:
% 178.21/26.63 | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | (5918) all_12_18 = e4
% 178.21/26.63 | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | COMBINE_EQS: (658), (5918) imply:
% 178.21/26.63 | | | | | | | | | | | | | | | | (5919) all_4_21 = e4
% 178.21/26.63 | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | SIMP: (5919) implies:
% 178.21/26.63 | | | | | | | | | | | | | | | | (5920) all_4_21 = e4
% 178.21/26.63 | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | COMBINE_EQS: (448), (5920) imply:
% 178.21/26.63 | | | | | | | | | | | | | | | | (5921) all_10_72 = e4
% 178.21/26.63 | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | REDUCE: (714), (5920) imply:
% 178.21/26.63 | | | | | | | | | | | | | | | | (5922) ~ (all_4_6 = e4)
% 178.21/26.63 | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | REDUCE: (736), (5920) imply:
% 178.21/26.63 | | | | | | | | | | | | | | | | (5923) ~ (all_4_8 = e4)
% 178.21/26.63 | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | REDUCE: (753), (5920) imply:
% 178.21/26.63 | | | | | | | | | | | | | | | | (5924) ~ (all_4_14 = e4)
% 178.21/26.63 | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | REDUCE: (758), (5920) imply:
% 178.21/26.63 | | | | | | | | | | | | | | | | (5925) ~ (all_4_17 = e4)
% 178.21/26.63 | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | REDUCE: (764), (5920) imply:
% 178.21/26.63 | | | | | | | | | | | | | | | | (5926) ~ (all_4_23 = e4)
% 178.21/26.63 | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | REDUCE: (789), (5920) imply:
% 178.21/26.63 | | | | | | | | | | | | | | | | (5927) op(e4, e0) = all_10_14
% 178.21/26.63 | | | | | | | | | | | | | | | |
% 178.21/26.63 | | | | | | | | | | | | | | | | REDUCE: (806), (5920) imply:
% 178.21/26.64 | | | | | | | | | | | | | | | | (5928) op(e2, e4) = all_10_39
% 178.21/26.64 | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_4,
% 178.21/26.64 | | | | | | | | | | | | | | | | all_10_39, e4, e2, simplifying with (31), (5928)
% 178.21/26.64 | | | | | | | | | | | | | | | | gives:
% 178.21/26.64 | | | | | | | | | | | | | | | | (5929) all_10_39 = all_4_4
% 178.21/26.64 | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_17,
% 178.21/26.64 | | | | | | | | | | | | | | | | all_10_14, e0, e4, simplifying with (37), (5927)
% 178.21/26.64 | | | | | | | | | | | | | | | | gives:
% 178.21/26.64 | | | | | | | | | | | | | | | | (5930) all_10_14 = all_4_17
% 178.21/26.64 | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 178.21/26.64 | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.64 | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | (5931) all_8_4 = e4
% 178.21/26.64 | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | REF_CLOSE: (603), (5925), (5931) are inconsistent by
% 178.21/26.64 | | | | | | | | | | | | | | | | | sub-proof #787.
% 178.21/26.64 | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.64 | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | (5932) ~ (all_8_4 = e4)
% 178.21/26.64 | | | | | | | | | | | | | | | | | (5933) all_8_4 = e3 | all_8_4 = e2 | all_8_4 = e1 |
% 178.21/26.64 | | | | | | | | | | | | | | | | | all_8_4 = e0
% 178.21/26.64 | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 178.21/26.64 | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.64 | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | (5934) all_8_5 = e4
% 178.21/26.64 | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | REF_CLOSE: (566), (5090), (5934) are inconsistent by
% 178.21/26.64 | | | | | | | | | | | | | | | | | | sub-proof #784.
% 178.21/26.64 | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.64 | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | (5935) ~ (all_8_5 = e4)
% 178.21/26.64 | | | | | | | | | | | | | | | | | | (5936) all_8_5 = e3 | all_8_5 = e2 | all_8_5 = e1 |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | all_8_5 = e0
% 178.21/26.64 | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | BETA: splitting (391) gives:
% 178.21/26.64 | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | (5937) all_12_2 = e4
% 178.21/26.64 | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (5090), (5937) are inconsistent by
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | sub-proof #695.
% 178.21/26.64 | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | (5938) ~ (all_12_2 = e4)
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | (5939) all_12_3 = e4 | all_12_5 = e4 | all_12_10 = e4 |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | all_12_17 = e4
% 178.21/26.64 | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | BETA: splitting (406) gives:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | (5940) all_12_0 = e4
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (5940) imply:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | (5941) all_4_0 = e4
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | REDUCE: (5089), (5941) imply:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | (5942) $false
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | CLOSE: (5942) is inconsistent.
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | (5943) all_12_1 = e4 | all_12_4 = e4 | all_12_9 = e4 |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | all_12_16 = e4
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | BETA: splitting (396) gives:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | (5944) all_12_1 = e4
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (5944) imply:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | (5945) all_4_2 = e4
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (500), (5945) imply:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | (5946) all_10_55 = e4
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | REDUCE: (697), (5945) imply:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | (5947) ~ (all_4_3 = e4)
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | SIMP: (5947) implies:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | (5948) ~ (all_4_3 = e4)
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | REDUCE: (701), (5945) imply:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | (5949) ~ (all_4_5 = e4)
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | SIMP: (5949) implies:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | (5950) ~ (all_4_5 = e4)
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | REDUCE: (702), (5945) imply:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | (5951) ~ (all_4_10 = e4)
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | SIMP: (5951) implies:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | (5952) ~ (all_4_10 = e4)
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | REDUCE: (703), (5945) imply:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | (5953) ~ (all_4_17 = e4)
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | REDUCE: (793), (5945) imply:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | (5954) op(e4, e4) = all_10_26
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_0,
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | all_10_26, e4, e4, simplifying with (41), (5954)
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | gives:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | (5955) all_10_26 = all_4_0
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (376) gives:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | (5956) all_12_9 = e4
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (494), (5952), (5956) are inconsistent by
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | sub-proof #506.
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | (5957) ~ (all_12_9 = e4)
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | (5958) all_12_10 = e4 | all_12_11 = e4 | all_12_15 = e4 |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | all_12_23 = e4
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (386) gives:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | (5959) all_12_4 = e4
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (5950), (5959) are inconsistent by
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #686.
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | (5960) ~ (all_12_4 = e4)
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | (5961) all_12_5 = e4 | all_12_8 = e4 | all_12_14 = e4 |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | all_12_22 = e4
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (322) gives:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | (5962) all_10_60 = e4
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (516), (5950), (5962) are inconsistent by
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #685.
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | (5963) ~ (all_10_60 = e4)
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | (5964) all_10_61 = e3 | all_10_62 = e2 | all_10_63 = e1 |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | all_10_64 = e0
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (365) gives:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | (5965) all_12_16 = e3
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (5965) imply:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | (5966) all_4_17 = e3
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (5966) imply:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | (5967) all_10_70 = e3
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (674), (5966) imply:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | (5968) ~ (all_4_0 = e3)
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (727), (5966) imply:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | (5969) ~ (all_4_5 = e3)
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5925), (5966) imply:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | (5970) ~ (e4 = e3)
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5099), (5966) imply:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | (5971) op(e3, e4) = e0
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_1, e0,
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | e4, e3, simplifying with (36), (5971) gives:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | (5972) all_4_1 = e0
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (512), (5972) imply:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | (5973) all_10_51 = e0
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (667), (5972) imply:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | (5974) ~ (all_4_0 = e0)
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (679), (5972) imply:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | (5975) ~ (all_4_7 = e0)
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5975) implies:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | (5976) ~ (all_4_7 = e0)
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (680), (5972) imply:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | (5977) ~ (all_4_12 = e0)
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5977) implies:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | (5978) ~ (all_4_12 = e0)
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (681), (5972) imply:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | (5979) ~ (all_4_19 = e0)
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (363) gives:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (5980) all_12_16 = e1
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5965), (5980) are inconsistent by sub-proof
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | #366.
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (5981) all_12_17 = e1 | all_12_18 = e1 | all_12_19 = e1 |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_24 = e1
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5982) all_8_7 = e4
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (586), (5982) imply:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5983) all_4_7 = e4
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5983) implies:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5984) all_4_7 = e4
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (518), (5984) imply:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5985) all_10_61 = e4
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (728), (5984) imply:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5986) ~ (all_4_8 = e4)
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (731), (5984) imply:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5987) ~ (all_4_12 = e4)
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5987) implies:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5988) ~ (all_4_12 = e4)
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5958) gives:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5989) all_12_10 = e4
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (663), (5988), (5989) are inconsistent by
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #628.
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5990) all_12_11 = e4 | all_12_15 = e4 | all_12_23 = e4
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5990) gives:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5991) all_12_11 = e4
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (454), (5924), (5991) are inconsistent by
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #774.
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5992) all_12_15 = e4 | all_12_23 = e4
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5992) gives:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5993) all_12_15 = e4
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (660), (5993) imply:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5994) all_4_15 = e4
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (5994) imply:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5995) all_10_68 = e4
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (738), (5994) imply:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5996) ~ (all_4_13 = e4)
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (5994) imply:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5997) op(e4, e4) = e1
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_0, e1,
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e4, simplifying with (41), (5997) gives:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5998) all_4_0 = e1
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (672), (5998) imply:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5999) ~ (all_4_5 = e1)
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5999) implies:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6000) ~ (all_4_5 = e1)
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (669), (5998) imply:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6001) ~ (all_4_9 = e1)
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6001) implies:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6002) ~ (all_4_9 = e1)
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (673), (5998) imply:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6003) ~ (all_4_10 = e1)
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6003) implies:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6004) ~ (all_4_10 = e1)
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5089), (5998) imply:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6005) ~ (e4 = e1)
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5110) gives:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6006) all_10_55 = e3
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5946), (6006) imply:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6007) e4 = e3
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (6007) imply:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6008) $false
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6008) is inconsistent.
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6009) all_10_60 = e2 | all_10_65 = e1 | all_10_70 = e0
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5115) gives:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6010) all_10_51 = e3
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5973), (6010) imply:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6011) e3 = e0
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (6011) imply:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6012) $false
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6012) is inconsistent.
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6013) ~ (all_10_51 = e3)
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6014) all_10_52 = e2 | all_10_53 = e1 | all_10_54 = e0
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5973), (6013) imply:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6015) ~ (e3 = e0)
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6009) gives:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6016) all_10_60 = e2
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (516), (6016) imply:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6017) all_4_5 = e2
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6017) implies:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6018) all_4_5 = e2
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (723), (6018) imply:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6019) ~ (all_4_8 = e2)
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6019) implies:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6020) ~ (all_4_8 = e2)
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5950), (6018) imply:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6021) ~ (e4 = e2)
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (6018) imply:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6022) op(all_4_4, e2) = e4
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5964) gives:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6023) all_10_61 = e3
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5985), (6023) imply:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6024) e4 = e3
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6024) implies:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6025) e4 = e3
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5088), (6025) imply:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6026) all_10_54 = e3
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (29), (463), (534), (5923), (6002), (6014),
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6022), (6026), (function-axioms) are inconsistent
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #598.
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6027) all_10_62 = e2 | all_10_63 = e1 | all_10_64 = e0
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6027) gives:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6028) all_10_62 = e2
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (455), (6020), (6028) are inconsistent by
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #365.
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6029) all_10_63 = e1 | all_10_64 = e0
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5104) gives:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6030) all_10_58 = e3
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (6030) imply:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6031) all_4_11 = e3
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6031) implies:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6032) all_4_11 = e3
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (705), (6032) imply:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6033) ~ (all_4_3 = e3)
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5113) gives:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6034) all_10_56 = e3
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (514), (6034) imply:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6035) all_4_3 = e3
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6033), (6035) imply:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6036) $false
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6036) is inconsistent.
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6037) all_10_61 = e2 | all_10_66 = e1 | all_10_71 = e0
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6029) gives:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6038) all_10_63 = e1
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (435), (6038) imply:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6039) all_4_13 = e1
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6039) implies:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6040) all_4_13 = e1
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (739), (6040) imply:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6041) ~ (all_4_23 = e1)
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6041) implies:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6042) ~ (all_4_23 = e1)
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5981) gives:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6043) all_12_17 = e1
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (470), (6043) imply:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6044) all_4_19 = e1
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (750), (6044) imply:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6045) ~ (all_4_12 = e1)
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (472), (547), (823), (5985), (6037), (6045)
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #463.
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6046) all_12_18 = e1 | all_12_19 = e1 | all_12_24 = e1
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12), (430), (817), (5918), (6042), (6046)
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #431.
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6047) all_10_64 = e0
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (415), (824), (6047) are inconsistent by sub-proof
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #672.
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6048) all_10_63 = e2 | all_10_68 = e1 | all_10_73 = e0
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6048) gives:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6049) all_10_63 = e2
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (415), (824), (6029), (6049) are inconsistent
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #364.
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6050) all_10_68 = e1 | all_10_73 = e0
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6050) gives:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6051) all_10_68 = e1
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (5995), (6051) are inconsistent by sub-proof
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #363.
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6052) all_10_73 = e0
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (654), (827), (6052) are inconsistent by sub-proof
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #646.
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6053) all_10_65 = e1 | all_10_70 = e0
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (488), (528), (821), (6004), (6053) are
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #361.
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6054) all_12_23 = e4
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (414), (2875), (6054) are inconsistent by
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #460.
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6055) ~ (all_8_7 = e4)
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (586), (6055) imply:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6056) ~ (all_4_7 = e4)
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5939) gives:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6057) all_12_3 = e4
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (482), (6057) imply:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6058) all_4_3 = e4
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5948), (6058) imply:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6059) $false
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6059) is inconsistent.
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6060) all_12_5 = e4 | all_12_10 = e4 | all_12_17 = e4
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5961) gives:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6061) all_12_5 = e4
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (6056), (6061) are inconsistent by
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #566.
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6062) all_12_8 = e4 | all_12_14 = e4 | all_12_22 = e4
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6062) gives:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6063) all_12_8 = e4
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (664), (5923), (6063) are inconsistent by
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #681.
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6064) all_12_14 = e4 | all_12_22 = e4
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6064) gives:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6065) all_12_14 = e4
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (661), (6065) imply:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6066) all_4_13 = e4
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6066) implies:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6067) all_4_13 = e4
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (435), (6067) imply:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6068) all_10_63 = e4
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6060) gives:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6069) all_12_5 = e4
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (6056), (6069) are inconsistent by
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #566.
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6070) all_12_10 = e4 | all_12_17 = e4
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6070) gives:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6071) all_12_10 = e4
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (663), (6071) imply:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6072) all_4_12 = e4
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6072) implies:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6073) all_4_12 = e4
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (472), (6073) imply:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6074) all_10_66 = e4
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (382) gives:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6075) all_12_4 = e0
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (6075) imply:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6076) all_4_5 = e0
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6076) implies:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6077) all_4_5 = e0
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (516), (6077) imply:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6078) all_10_60 = e0
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5969), (6077) imply:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6079) ~ (e3 = e0)
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5110) gives:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6080) all_10_55 = e3
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (5946), (6080) are inconsistent by sub-proof
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #396.
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6081) all_10_60 = e2 | all_10_65 = e1 | all_10_70 = e0
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6081) gives:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6082) all_10_60 = e2
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6078), (6082) imply:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6083) e2 = e0
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (6083) imply:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6084) $false
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6084) is inconsistent.
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6085) all_10_65 = e1 | all_10_70 = e0
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6085) gives:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6086) all_10_65 = e1
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (528), (6086) imply:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6087) all_4_10 = e1
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6087) implies:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6088) all_4_10 = e1
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (673), (6088) imply:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6089) ~ (all_4_0 = e1)
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (66), (402), (506), (564), (5118), (5923),
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5968), (5974), (6089), (function-axioms) are
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #606.
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6090) all_10_70 = e0
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5967), (6090) are inconsistent by sub-proof
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #391.
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6091) all_12_5 = e0 | all_12_8 = e0 | all_12_14 = e0 |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_22 = e0
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10), (11), (12), (415), (455), (478), (514),
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (518), (547), (655), (664), (707), (734), (823),
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (824), (5113), (5964), (5976), (6065), (6068),
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6074), (6091) are inconsistent by sub-proof #424.
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6092) all_12_17 = e4
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (470), (5464), (6092) are inconsistent by
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #429.
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6093) all_12_22 = e4
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (655), (5095), (6093) are inconsistent by
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #640.
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | (6094) ~ (all_12_16 = e3)
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (659), (6094) imply:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | (6095) ~ (all_4_17 = e3)
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (39), (364), (603), (659), (821), (5097),
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | (5933), (5950), (5952), (6095), (function-axioms)
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #389.
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | (6096) ~ (all_12_1 = e4)
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | (6097) all_12_3 = e4 | all_12_7 = e4 | all_12_13 = e4 |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | all_12_21 = e4
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | REDUCE: (666), (6096) imply:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | (6098) ~ (all_4_2 = e4)
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (323) gives:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | (6099) all_10_55 = e4
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (500), (6099) imply:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | (6100) all_4_2 = e4
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6098), (6100) imply:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | (6101) $false
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6101) is inconsistent.
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | (6102) ~ (all_10_55 = e4)
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | (6103) all_10_56 = e3 | all_10_57 = e2 | all_10_58 = e1 |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | all_10_59 = e0
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (376) gives:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | (6104) all_12_9 = e4
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (6104) imply:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | (6105) all_4_10 = e4
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6105) implies:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | (6106) all_4_10 = e4
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (528), (6106) imply:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | (6107) all_10_65 = e4
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (726), (6106) imply:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | (6108) ~ (all_4_5 = e4)
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (6106) imply:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | (6109) ~ (all_4_15 = e4)
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6109) implies:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | (6110) ~ (all_4_15 = e4)
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (746), (6106) imply:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | (6111) ~ (all_4_17 = e4)
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (795), (6106) imply:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | (6112) op(e4, e4) = all_10_28
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_0,
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | all_10_28, e4, e4, simplifying with (41), (6112)
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | (6113) all_10_28 = all_4_0
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (322) gives:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | (6114) all_10_60 = e4
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (516), (6108), (6114) are inconsistent by
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #685.
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | (6115) ~ (all_10_60 = e4)
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | (6116) all_10_61 = e3 | all_10_62 = e2 | all_10_63 = e1 |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | all_10_64 = e0
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (371) gives:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | (6117) all_12_12 = e4
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (5092), (6117) are inconsistent by
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #613.
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | (6118) all_12_13 = e4 | all_12_14 = e4 | all_12_15 = e4 |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | all_12_19 = e4
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (365) gives:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (6119) all_12_16 = e3
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (6119) imply:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (6120) all_4_17 = e3
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (5097), (6098), (6120), (function-axioms)
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #399.
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (6121) ~ (all_12_16 = e3)
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (659), (6121) imply:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (6122) ~ (all_4_17 = e3)
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (364) gives:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6123) all_12_16 = e2
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (6123) imply:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6124) all_4_17 = e2
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (5097), (6108), (6124), (function-axioms)
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #398.
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6125) ~ (all_12_16 = e2)
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6126) all_12_17 = e2 | all_12_18 = e2 | all_12_19 = e2 |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_24 = e2
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (659), (6125) imply:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6127) ~ (all_4_17 = e2)
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5933) gives:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6128) all_8_4 = e3
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (603), (6122), (6128) are inconsistent by
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #711.
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6129) all_8_4 = e2 | all_8_4 = e1 | all_8_4 = e0
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6129) gives:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6130) all_8_4 = e2
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (603), (6127), (6130) are inconsistent by
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #710.
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6131) all_8_4 = e1 | all_8_4 = e0
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6131) gives:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6132) all_8_4 = e1
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (603), (6132) imply:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6133) all_4_17 = e1
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6133) implies:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6134) all_4_17 = e1
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (674), (6134) imply:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6135) ~ (all_4_0 = e1)
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (757), (6134) imply:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6136) ~ (all_4_19 = e1)
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6136) implies:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6137) ~ (all_4_19 = e1)
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5925), (6134) imply:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6138) ~ (e4 = e1)
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5099), (6134) imply:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6139) op(e1, e4) = e0
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_9, e0,
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e1, simplifying with (26), (6139) gives:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6140) all_4_9 = e0
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (669), (6140) imply:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6141) ~ (all_4_0 = e0)
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (676), (6140) imply:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6142) ~ (all_4_1 = e0)
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6143) all_8_16 = e4
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (580), (6143) imply:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6144) all_4_11 = e4
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6144) implies:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6145) all_4_11 = e4
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (705), (6145) imply:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6146) ~ (all_4_3 = e4)
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (29), (35), (37), (66), (402), (404), (488),
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (500), (506), (516), (564), (671), (672), (5097),
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5110), (5118), (5923), (5925), (6107), (6135),
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6141), (6146), (function-axioms) are inconsistent
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #400.
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6147) ~ (all_8_16 = e4)
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (580), (6147) imply:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6148) ~ (all_4_11 = e4)
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6118) gives:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6149) all_12_13 = e4
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (662), (6148), (6149) are inconsistent by
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #604.
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6150) ~ (all_12_13 = e4)
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6151) all_12_14 = e4 | all_12_15 = e4 | all_12_19 = e4
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6097) gives:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6152) all_12_3 = e4
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (482), (6152) imply:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6153) all_4_3 = e4
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (514), (6153) imply:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6154) all_10_56 = e4
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (63), (6153) imply:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6155) op(e4, e4) = e3
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6151) gives:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6156) all_12_14 = e4
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (661), (6156) imply:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6157) all_4_13 = e4
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6157) implies:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6158) all_4_13 = e4
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (435), (6158) imply:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6159) all_10_63 = e4
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (729), (6158) imply:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6160) ~ (all_4_7 = e4)
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_0, e3,
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e4, simplifying with (41), (6155) gives:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6161) all_4_0 = e3
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (671), (6161) imply:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6162) ~ (all_4_2 = e3)
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6162) implies:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6163) ~ (all_4_2 = e3)
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5110) gives:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6164) all_10_55 = e3
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (500), (6164) imply:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6165) all_4_2 = e3
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6163), (6165) imply:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6166) $false
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6166) is inconsistent.
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6167) all_10_60 = e2 | all_10_65 = e1 | all_10_70 = e0
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6167) gives:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6168) all_10_60 = e2
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (516), (6168) imply:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6169) all_4_5 = e2
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6169) implies:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6170) all_4_5 = e2
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (722), (6170) imply:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6171) ~ (all_4_7 = e2)
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6171) implies:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6172) ~ (all_4_7 = e2)
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (723), (6170) imply:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6173) ~ (all_4_8 = e2)
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6173) implies:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6174) ~ (all_4_8 = e2)
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6116) gives:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6175) all_10_61 = e3
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (518), (6175) imply:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6176) all_4_7 = e3
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6176) implies:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6177) all_4_7 = e3
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (679), (6177) imply:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6178) ~ (all_4_1 = e3)
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (732), (6177) imply:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6179) ~ (all_4_19 = e3)
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6179) implies:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6180) ~ (all_4_19 = e3)
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6160), (6177) imply:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6181) ~ (e4 = e3)
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5463) gives:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6182) all_8_9 = e3
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (606), (6180), (6182) are inconsistent by
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #526.
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6183) all_8_9 = e2 | all_8_9 = e1 | all_8_9 = e0
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5113) gives:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6184) all_10_56 = e3
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6154), (6184) imply:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6185) e4 = e3
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (6185) imply:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6186) $false
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6186) is inconsistent.
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6187) all_10_61 = e2 | all_10_66 = e1 | all_10_71 = e0
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6187) gives:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6188) all_10_61 = e2
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (6175), (6188) are inconsistent by sub-proof
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #438.
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6189) all_10_66 = e1 | all_10_71 = e0
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6126) gives:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6190) all_12_17 = e2
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (470), (6190) imply:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6191) all_4_19 = e2
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (547), (6191) imply:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6192) all_10_71 = e2
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (681), (6191) imply:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6193) ~ (all_4_1 = e2)
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6189) gives:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6194) all_10_66 = e1
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (472), (6194) imply:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6195) all_4_12 = e1
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6195) implies:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6196) all_4_12 = e1
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (680), (6196) imply:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6197) ~ (all_4_1 = e1)
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (566), (5936), (6142), (6178), (6193), (6197) are
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #657.
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6198) all_10_71 = e0
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6192), (6198) are inconsistent by sub-proof
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #375.
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6199) ~ (all_12_17 = e2)
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (470), (6199) imply:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6200) ~ (all_4_19 = e2)
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (606), (823), (6137), (6183), (6200) are
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #477.
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6201) all_10_62 = e2 | all_10_63 = e1 | all_10_64 = e0
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (415), (455), (824), (6159), (6174), (6201)
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #360.
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6202) all_10_65 = e1 | all_10_70 = e0
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (37), (488), (5097), (5925), (6107), (6202),
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #401.
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6203) all_12_15 = e4 | all_12_19 = e4
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (430), (660), (5908), (6110), (6203) are
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #359.
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6204) all_12_7 = e4 | all_12_13 = e4 | all_12_21 = e4
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (462), (656), (662), (5084), (5922), (6148),
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6204) are inconsistent by sub-proof #405.
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6205) all_8_4 = e0
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (603), (821), (6205) are inconsistent by sub-proof
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #708.
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | (6206) ~ (all_12_9 = e4)
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (494), (6206) imply:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | (6207) ~ (all_4_10 = e4)
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5943) gives:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | (6208) all_12_1 = e4
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (6208) imply:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | (6209) all_4_2 = e4
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6098), (6209) imply:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | (6210) $false
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6210) is inconsistent.
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | (6211) all_12_4 = e4 | all_12_9 = e4 | all_12_16 = e4
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6211) gives:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | (6212) all_12_4 = e4
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (6212) imply:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | (6213) all_4_5 = e4
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6213) implies:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | (6214) all_4_5 = e4
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (516), (6214) imply:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | (6215) all_10_60 = e4
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (726), (6214) imply:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | (6216) ~ (all_4_10 = e4)
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (724), (6214) imply:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | (6217) ~ (all_4_13 = e4)
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6217) implies:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | (6218) ~ (all_4_13 = e4)
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (727), (6214) imply:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | (6219) ~ (all_4_17 = e4)
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (61), (6214) imply:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | (6220) op(e4, all_4_4) = e2
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (794), (6214) imply:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | (6221) op(e4, e4) = all_10_27
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_0,
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | all_10_27, e4, e4, simplifying with (41), (6221)
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | (6222) all_10_27 = all_4_0
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (371) gives:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | (6223) all_12_12 = e4
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (5092), (6223) are inconsistent by
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #613.
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | (6224) all_12_13 = e4 | all_12_14 = e4 | all_12_15 = e4 |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_19 = e4
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (363) gives:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6225) all_12_16 = e1
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (6225) imply:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6226) all_4_17 = e1
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (5097), (6207), (6226), (function-axioms)
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #390.
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6227) ~ (all_12_16 = e1)
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (659), (6227) imply:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6228) ~ (all_4_17 = e1)
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (365) gives:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6229) all_12_16 = e3
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (6229) imply:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6230) all_4_17 = e3
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (5097), (6098), (6230), (function-axioms)
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #399.
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6231) ~ (all_12_16 = e3)
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6232) all_12_17 = e3 | all_12_18 = e3 | all_12_19 = e3 |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_24 = e3
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (659), (6231) imply:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6233) ~ (all_4_17 = e3)
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5933) gives:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6234) all_8_4 = e3
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (603), (6233), (6234) are inconsistent by
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #711.
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6235) all_8_4 = e2 | all_8_4 = e1 | all_8_4 = e0
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6235) gives:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6236) all_8_4 = e2
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (603), (6236) imply:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6237) all_4_17 = e2
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6237) implies:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6238) all_4_17 = e2
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (6238) imply:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6239) all_10_70 = e2
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (674), (6238) imply:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6240) ~ (all_4_0 = e2)
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (703), (6238) imply:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6241) ~ (all_4_2 = e2)
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5925), (6238) imply:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6242) ~ (e4 = e2)
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5099), (6238) imply:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6243) op(e2, e4) = e0
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5097), (6238) imply:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6244) op(e4, e2) = e4
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_4, e0,
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e2, simplifying with (31), (6243) gives:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6245) all_4_4 = e0
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (463), (6245) imply:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6246) all_10_52 = e0
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (6245) imply:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6247) all_12_6 = e0
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (668), (6245) imply:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6248) ~ (all_4_0 = e0)
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (675), (6245) imply:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6249) ~ (all_4_1 = e0)
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5091), (6245) imply:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6250) ~ (e4 = e0)
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (401) gives:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6251) all_12_0 = e2
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (6251) imply:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6252) all_4_0 = e2
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6240), (6252) imply:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6253) $false
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6253) is inconsistent.
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6254) ~ (all_12_0 = e2)
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6255) all_12_2 = e2 | all_12_6 = e2 | all_12_12 = e2 |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_20 = e2
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (399) gives:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6256) all_12_0 = e1
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (6256) imply:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6257) all_4_0 = e1
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (669), (6257) imply:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6258) ~ (all_4_9 = e1)
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6258) implies:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6259) ~ (all_4_9 = e1)
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (673), (6257) imply:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6260) ~ (all_4_10 = e1)
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6260) implies:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6261) ~ (all_4_10 = e1)
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5110) gives:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6262) all_10_55 = e3
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (500), (6262) imply:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6263) all_4_2 = e3
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6263) implies:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6264) all_4_2 = e3
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (698), (6264) imply:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6265) ~ (all_4_6 = e3)
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6265) implies:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6266) ~ (all_4_6 = e3)
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (699), (6264) imply:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6267) ~ (all_4_11 = e3)
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6267) implies:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6268) ~ (all_4_11 = e3)
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5115) gives:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6269) all_10_51 = e3
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (512), (6269) imply:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6270) all_4_1 = e3
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6270) implies:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6271) all_4_1 = e3
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (6271) imply:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6272) all_12_2 = e3
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (678), (6271) imply:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6273) ~ (all_4_3 = e3)
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6273) implies:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6274) ~ (all_4_3 = e3)
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (681), (6271) imply:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6275) ~ (all_4_19 = e3)
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6275) implies:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6276) ~ (all_4_19 = e3)
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5090), (6271) imply:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6277) ~ (e4 = e3)
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6255) gives:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6278) all_12_2 = e2
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (6272), (6278) are inconsistent by sub-proof
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #358.
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6279) all_12_6 = e2 | all_12_12 = e2 | all_12_20 = e2
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6279) gives:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6280) all_12_6 = e2
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6247), (6280) imply:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6281) e2 = e0
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (6281) imply:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6282) $false
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6282) is inconsistent.
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6283) all_12_12 = e2 | all_12_20 = e2
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6283) gives:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6284) all_12_12 = e2
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (6284) imply:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6285) all_4_9 = e2
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6285) implies:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6286) all_4_9 = e2
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (690), (6286) imply:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6287) ~ (all_4_13 = e2)
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6287) implies:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6288) ~ (all_4_13 = e2)
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5104) gives:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6289) all_10_58 = e3
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (6289) imply:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6290) all_4_11 = e3
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6268), (6290) imply:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6291) $false
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6291) is inconsistent.
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6292) all_10_63 = e2 | all_10_68 = e1 | all_10_73 = e0
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6232) gives:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6293) all_12_17 = e3
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (470), (6293) imply:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6294) all_4_19 = e3
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6276), (6294) imply:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6295) $false
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6295) is inconsistent.
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6296) all_12_18 = e3 | all_12_19 = e3 | all_12_24 = e3
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6296) gives:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6297) all_12_18 = e3
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (5918), (6297) are inconsistent by sub-proof
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #527.
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6298) all_12_19 = e3 | all_12_24 = e3
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5907) gives:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6299) all_8_19 = e3
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (551), (6299) imply:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6300) all_4_23 = e3
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6300) implies:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6301) all_4_23 = e3
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (654), (6301) imply:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6302) all_10_73 = e3
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6292) gives:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6303) all_10_63 = e2
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (435), (6288), (6303) are inconsistent by
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #560.
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6304) all_10_68 = e1 | all_10_73 = e0
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6304) gives:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6305) all_10_68 = e1
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (6305) imply:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6306) all_4_15 = e1
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6306) implies:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6307) all_4_15 = e1
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (717), (6307) imply:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6308) ~ (all_4_11 = e1)
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (751), (6307) imply:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6309) ~ (all_4_14 = e1)
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5107) gives:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6310) all_10_57 = e3
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (523), (6310) imply:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6311) all_4_6 = e3
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6266), (6311) imply:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6312) $false
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6312) is inconsistent.
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6313) all_10_62 = e2 | all_10_67 = e1 | all_10_72 = e0
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6103) gives:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6314) all_10_56 = e3
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (514), (6274), (6314) are inconsistent by
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #439.
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6315) all_10_57 = e2 | all_10_58 = e1 | all_10_59 = e0
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6315) gives:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6316) all_10_57 = e2
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (523), (6316) imply:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6317) all_4_6 = e2
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (712), (6317) imply:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6318) ~ (all_4_8 = e2)
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6318) implies:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6319) ~ (all_4_8 = e2)
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (455), (532), (5921), (6309), (6313), (6319)
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #356.
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6320) all_10_58 = e1 | all_10_59 = e0
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6320) gives:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6321) all_10_58 = e1
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (6321) imply:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6322) all_4_11 = e1
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6308), (6322) imply:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6323) $false
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6323) is inconsistent.
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6324) all_10_59 = e0
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (420), (6324) imply:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6325) all_4_18 = e0
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (822), (6325) imply:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6326) $false
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6326) is inconsistent.
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6327) all_10_73 = e0
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6302), (6327) imply:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6328) e3 = e0
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6328) implies:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6329) e3 = e0
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (6329) imply:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6330) $false
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6330) is inconsistent.
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6331) ~ (all_8_19 = e3)
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (551), (6331) imply:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6332) ~ (all_4_23 = e3)
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (430), (817), (6298), (6332) are inconsistent
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #355.
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6333) all_12_20 = e2
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (5085), (6333) are inconsistent by sub-proof
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #354.
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6334) all_10_52 = e2 | all_10_53 = e1 | all_10_54 = e0
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (424), (463), (534), (820), (5091), (6220),
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6244), (6259), (6334), (function-axioms) are
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #416.
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6335) all_10_60 = e2 | all_10_65 = e1 | all_10_70 = e0
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (488), (528), (821), (6215), (6261), (6335)
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #353.
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6336) ~ (all_12_0 = e1)
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (506), (6336) imply:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6337) ~ (all_4_0 = e1)
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5118) gives:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6338) all_8_0 = e3
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (564), (6338) imply:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6339) all_4_0 = e3
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6339) implies:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6340) all_4_0 = e3
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (667), (6340) imply:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6341) ~ (all_4_1 = e3)
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6341) implies:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6342) ~ (all_4_1 = e3)
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (671), (6340) imply:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6343) ~ (all_4_2 = e3)
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6343) implies:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6344) ~ (all_4_2 = e3)
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (669), (6340) imply:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6345) ~ (all_4_9 = e3)
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6345) implies:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6346) ~ (all_4_9 = e3)
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (41), (6340) imply:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6347) op(e4, e4) = e3
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5110) gives:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6348) all_10_55 = e3
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (500), (6344), (6348) are inconsistent by
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #624.
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6349) all_10_60 = e2 | all_10_65 = e1 | all_10_70 = e0
% 178.21/26.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6349) gives:
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6350) all_10_60 = e2
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (6215), (6350) are inconsistent by sub-proof
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #388.
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6351) all_10_65 = e1 | all_10_70 = e0
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6351) gives:
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6352) all_10_65 = e1
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (528), (6352) imply:
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6353) all_4_10 = e1
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6353) implies:
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6354) all_4_10 = e1
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (6354) imply:
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6355) op(all_4_9, e1) = e4
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5115) gives:
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6356) all_10_51 = e3
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (512), (6342), (6356) are inconsistent by
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #623.
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6357) all_10_52 = e2 | all_10_53 = e1 | all_10_54 = e0
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6357) gives:
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6358) all_10_52 = e2
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6246), (6358) imply:
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6359) e2 = e0
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (6359) imply:
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6360) $false
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6360) is inconsistent.
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6361) all_10_53 = e1 | all_10_54 = e0
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6361) gives:
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6362) all_10_53 = e1
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (534), (6362) imply:
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6363) all_4_9 = e1
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6363) implies:
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6364) all_4_9 = e1
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6346), (6364) imply:
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6365) ~ (e3 = e1)
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6355), (6364) imply:
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6366) op(e1, e1) = e4
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6367) all_8_16 = e4
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (580), (6367) imply:
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6368) all_4_11 = e4
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6368) implies:
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6369) all_4_11 = e4
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (717), (6369) imply:
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6370) ~ (all_4_15 = e4)
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6370) implies:
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6371) ~ (all_4_15 = e4)
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (6366), (6371), (function-axioms) are
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #705.
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6372) ~ (all_8_16 = e4)
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (580), (6372) imply:
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6373) ~ (all_4_11 = e4)
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (41), (51), (430), (660), (661), (662),
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5908), (6218), (6224), (6347), (6373),
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #577.
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6374) all_10_54 = e0
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (5088), (6374) are inconsistent by sub-proof
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #410.
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6375) all_10_70 = e0
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6239), (6375) are inconsistent by sub-proof
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #387.
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6376) all_8_0 = e2 | all_8_0 = e1 | all_8_0 = e0
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (564), (6240), (6248), (6337), (6376) are
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #608.
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6377) all_8_4 = e1 | all_8_4 = e0
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (603), (821), (6228), (6377) are inconsistent by
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #638.
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | (6378) all_12_9 = e4 | all_12_16 = e4
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (494), (659), (5925), (6207), (6378) are
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #505.
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.67 | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | End of split
% 178.21/26.67 | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | End of split
% 178.21/26.67 | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | End of split
% 178.21/26.67 | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | Case 2:
% 178.21/26.67 | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | (6379) all_12_19 = e4 | all_12_24 = e4
% 178.21/26.67 | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | REF_CLOSE: (11), (430), (817), (5908), (6379) are
% 178.21/26.67 | | | | | | | | | | | | | | | | inconsistent by sub-proof #500.
% 178.21/26.67 | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | End of split
% 178.21/26.67 | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | End of split
% 178.21/26.67 | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | End of split
% 178.21/26.67 | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | End of split
% 178.21/26.67 | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | End of split
% 178.21/26.67 | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | End of split
% 178.21/26.67 | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | End of split
% 178.21/26.67 | | | | | | | | |
% 178.21/26.67 | | | | | | | | End of split
% 178.21/26.67 | | | | | | | |
% 178.21/26.67 | | | | | | | End of split
% 178.21/26.67 | | | | | | |
% 178.21/26.67 | | | | | | End of split
% 178.21/26.67 | | | | | |
% 178.21/26.67 | | | | | End of split
% 178.21/26.67 | | | | |
% 178.21/26.67 | | | | Case 2:
% 178.21/26.67 | | | | |
% 178.21/26.67 | | | | | (6380) all_12_21 = e4 | all_12_22 = e4 | all_12_23 = e4 | all_12_24
% 178.21/26.67 | | | | | = e4
% 178.21/26.67 | | | | |
% 178.21/26.67 | | | | | BETA: splitting (6380) gives:
% 178.21/26.67 | | | | |
% 178.21/26.67 | | | | | Case 1:
% 178.21/26.67 | | | | | |
% 178.21/26.67 | | | | | | (6381) all_12_21 = e4
% 178.21/26.67 | | | | | |
% 178.21/26.67 | | | | | | REF_CLOSE: (656), (5084), (6381) are inconsistent by sub-proof #592.
% 178.21/26.67 | | | | | |
% 178.21/26.67 | | | | | Case 2:
% 178.21/26.67 | | | | | |
% 178.21/26.67 | | | | | | (6382) all_12_22 = e4 | all_12_23 = e4 | all_12_24 = e4
% 178.21/26.67 | | | | | |
% 178.21/26.67 | | | | | | BETA: splitting (6382) gives:
% 178.21/26.67 | | | | | |
% 178.21/26.67 | | | | | | Case 1:
% 178.21/26.67 | | | | | | |
% 178.21/26.67 | | | | | | | (6383) all_12_22 = e4
% 178.21/26.67 | | | | | | |
% 178.21/26.67 | | | | | | | COMBINE_EQS: (655), (6383) imply:
% 178.21/26.67 | | | | | | | (6384) all_4_20 = e4
% 178.21/26.67 | | | | | | |
% 178.21/26.67 | | | | | | | SIMP: (6384) implies:
% 178.21/26.67 | | | | | | | (6385) all_4_20 = e4
% 178.21/26.67 | | | | | | |
% 178.21/26.67 | | | | | | | COMBINE_EQS: (415), (6385) imply:
% 178.21/26.67 | | | | | | | (6386) all_10_64 = e4
% 178.21/26.67 | | | | | | |
% 178.21/26.67 | | | | | | | REDUCE: (725), (6385) imply:
% 178.21/26.67 | | | | | | | (6387) ~ (all_4_5 = e4)
% 178.21/26.67 | | | | | | |
% 178.21/26.67 | | | | | | | REDUCE: (730), (6385) imply:
% 178.21/26.67 | | | | | | | (6388) ~ (all_4_7 = e4)
% 178.21/26.67 | | | | | | |
% 178.21/26.67 | | | | | | | REDUCE: (734), (6385) imply:
% 178.21/26.67 | | | | | | | (6389) ~ (all_4_8 = e4)
% 178.21/26.67 | | | | | | |
% 178.21/26.67 | | | | | | | REDUCE: (737), (6385) imply:
% 178.21/26.67 | | | | | | | (6390) ~ (all_4_13 = e4)
% 178.21/26.67 | | | | | | |
% 178.21/26.67 | | | | | | | REDUCE: (694), (6385) imply:
% 178.21/26.67 | | | | | | | (6391) ~ (all_4_16 = e4)
% 178.21/26.67 | | | | | | |
% 178.21/26.67 | | | | | | | REDUCE: (740), (6385) imply:
% 178.21/26.67 | | | | | | | (6392) ~ (all_4_22 = e4)
% 178.21/26.67 | | | | | | |
% 178.21/26.67 | | | | | | | REDUCE: (46), (6385) imply:
% 178.21/26.67 | | | | | | | (6393) op(e4, all_4_21) = e2
% 178.21/26.67 | | | | | | |
% 178.21/26.67 | | | | | | | REDUCE: (781), (6385) imply:
% 178.21/26.67 | | | | | | | (6394) op(e4, e2) = all_10_22
% 178.21/26.67 | | | | | | |
% 178.21/26.67 | | | | | | | REDUCE: (45), (6385) imply:
% 178.21/26.67 | | | | | | | (6395) op(all_4_21, e4) = e0
% 178.21/26.67 | | | | | | |
% 178.21/26.67 | | | | | | | REDUCE: (814), (6385) imply:
% 178.21/26.67 | | | | | | | (6396) op(e0, e4) = all_10_47
% 178.21/26.67 | | | | | | |
% 178.21/26.67 | | | | | | | REDUCE: (19), (6385) imply:
% 178.21/26.67 | | | | | | | (6397) op(e0, e2) = e4
% 178.21/26.67 | | | | | | |
% 178.21/26.67 | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_16,
% 178.21/26.67 | | | | | | | all_10_47, e4, e0, simplifying with (21), (6396)
% 178.21/26.67 | | | | | | | gives:
% 178.21/26.67 | | | | | | | (6398) all_10_47 = all_4_16
% 178.21/26.67 | | | | | | |
% 178.21/26.67 | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_5,
% 178.21/26.67 | | | | | | | all_10_22, e2, e4, simplifying with (39), (6394)
% 178.21/26.67 | | | | | | | gives:
% 178.21/26.67 | | | | | | | (6399) all_10_22 = all_4_5
% 178.21/26.67 | | | | | | |
% 178.21/26.67 | | | | | | | BETA: splitting (223) gives:
% 178.21/26.67 | | | | | | |
% 178.21/26.67 | | | | | | | Case 1:
% 178.21/26.67 | | | | | | | |
% 178.21/26.67 | | | | | | | | (6400) all_8_20 = e4
% 178.21/26.67 | | | | | | | |
% 178.21/26.67 | | | | | | | | COMBINE_EQS: (572), (6400) imply:
% 178.21/26.67 | | | | | | | | (6401) all_4_16 = e4
% 178.21/26.67 | | | | | | | |
% 178.21/26.67 | | | | | | | | REDUCE: (6391), (6401) imply:
% 178.21/26.67 | | | | | | | | (6402) $false
% 178.21/26.67 | | | | | | | |
% 178.21/26.67 | | | | | | | | CLOSE: (6402) is inconsistent.
% 178.21/26.67 | | | | | | | |
% 178.21/26.67 | | | | | | | Case 2:
% 178.21/26.67 | | | | | | | |
% 178.21/26.67 | | | | | | | | (6403) ~ (all_8_20 = e4)
% 178.21/26.67 | | | | | | | | (6404) all_8_20 = e3 | all_8_20 = e2 | all_8_20 = e1 |
% 178.21/26.67 | | | | | | | | all_8_20 = e0
% 178.21/26.67 | | | | | | | |
% 178.21/26.67 | | | | | | | | BETA: splitting (322) gives:
% 178.21/26.67 | | | | | | | |
% 178.21/26.67 | | | | | | | | Case 1:
% 178.21/26.67 | | | | | | | | |
% 178.21/26.67 | | | | | | | | | (6405) all_10_60 = e4
% 178.21/26.67 | | | | | | | | |
% 178.21/26.67 | | | | | | | | | REF_CLOSE: (516), (6387), (6405) are inconsistent by sub-proof
% 178.21/26.67 | | | | | | | | | #685.
% 178.21/26.67 | | | | | | | | |
% 178.21/26.67 | | | | | | | | Case 2:
% 178.21/26.67 | | | | | | | | |
% 178.21/26.67 | | | | | | | | | (6406) ~ (all_10_60 = e4)
% 178.21/26.67 | | | | | | | | | (6407) all_10_61 = e3 | all_10_62 = e2 | all_10_63 = e1 |
% 178.21/26.67 | | | | | | | | | all_10_64 = e0
% 178.21/26.67 | | | | | | | | |
% 178.21/26.67 | | | | | | | | | BETA: splitting (234) gives:
% 178.21/26.67 | | | | | | | | |
% 178.21/26.67 | | | | | | | | | Case 1:
% 178.21/26.67 | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | (6408) all_8_9 = e4
% 178.21/26.67 | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | COMBINE_EQS: (606), (6408) imply:
% 178.21/26.67 | | | | | | | | | | (6409) all_4_19 = e4
% 178.21/26.67 | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | SIMP: (6409) implies:
% 178.21/26.67 | | | | | | | | | | (6410) all_4_19 = e4
% 178.21/26.67 | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | COMBINE_EQS: (547), (6410) imply:
% 178.21/26.67 | | | | | | | | | | (6411) all_10_71 = e4
% 178.21/26.67 | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | COMBINE_EQS: (470), (6410) imply:
% 178.21/26.67 | | | | | | | | | | (6412) all_12_17 = e4
% 178.21/26.67 | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | REDUCE: (681), (6410) imply:
% 178.21/26.67 | | | | | | | | | | (6413) ~ (all_4_1 = e4)
% 178.21/26.67 | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | REDUCE: (709), (6410) imply:
% 178.21/26.67 | | | | | | | | | | (6414) ~ (all_4_3 = e4)
% 178.21/26.67 | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | REDUCE: (750), (6410) imply:
% 178.21/26.67 | | | | | | | | | | (6415) ~ (all_4_12 = e4)
% 178.21/26.67 | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | REDUCE: (757), (6410) imply:
% 178.21/26.67 | | | | | | | | | | (6416) ~ (all_4_17 = e4)
% 178.21/26.67 | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | REDUCE: (761), (6410) imply:
% 178.21/26.67 | | | | | | | | | | (6417) ~ (all_4_21 = e4)
% 178.21/26.67 | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | SIMP: (6417) implies:
% 178.21/26.67 | | | | | | | | | | (6418) ~ (all_4_21 = e4)
% 178.21/26.67 | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | REDUCE: (762), (6410) imply:
% 178.21/26.67 | | | | | | | | | | (6419) ~ (all_4_23 = e4)
% 178.21/26.67 | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | SIMP: (6419) implies:
% 178.21/26.67 | | | | | | | | | | (6420) ~ (all_4_23 = e4)
% 178.21/26.67 | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | REDUCE: (48), (6410) imply:
% 178.21/26.67 | | | | | | | | | | (6421) op(all_4_18, e4) = e3
% 178.21/26.67 | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | REDUCE: (788), (6410) imply:
% 178.21/26.67 | | | | | | | | | | (6422) op(e4, e0) = all_10_9
% 178.21/26.67 | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | REDUCE: (801), (6410) imply:
% 178.21/26.67 | | | | | | | | | | (6423) op(e3, e4) = all_10_34
% 178.21/26.67 | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | REDUCE: (32), (6410) imply:
% 178.21/26.67 | | | | | | | | | | (6424) op(e3, e0) = e4
% 178.21/26.67 | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_1,
% 178.21/26.67 | | | | | | | | | | all_10_34, e4, e3, simplifying with (36), (6423)
% 178.21/26.67 | | | | | | | | | | gives:
% 178.21/26.67 | | | | | | | | | | (6425) all_10_34 = all_4_1
% 178.21/26.67 | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_17,
% 178.21/26.67 | | | | | | | | | | all_10_9, e0, e4, simplifying with (37), (6422)
% 178.21/26.67 | | | | | | | | | | gives:
% 178.21/26.67 | | | | | | | | | | (6426) all_10_9 = all_4_17
% 178.21/26.67 | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | BETA: splitting (224) gives:
% 178.21/26.67 | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | Case 1:
% 178.21/26.67 | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | (6427) all_8_19 = e4
% 178.21/26.67 | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | REF_CLOSE: (551), (6420), (6427) are inconsistent by
% 178.21/26.67 | | | | | | | | | | | sub-proof #788.
% 178.21/26.67 | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | Case 2:
% 178.21/26.67 | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | (6428) ~ (all_8_19 = e4)
% 178.21/26.67 | | | | | | | | | | | (6429) all_8_19 = e3 | all_8_19 = e2 | all_8_19 = e1 |
% 178.21/26.67 | | | | | | | | | | | all_8_19 = e0
% 178.21/26.67 | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | BETA: splitting (229) gives:
% 178.21/26.67 | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | Case 1:
% 178.21/26.67 | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | (6430) all_8_14 = e4
% 178.21/26.67 | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | REF_CLOSE: (607), (6418), (6430) are inconsistent by
% 178.21/26.67 | | | | | | | | | | | | sub-proof #786.
% 178.21/26.67 | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | Case 2:
% 178.21/26.67 | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | (6431) ~ (all_8_14 = e4)
% 178.21/26.67 | | | | | | | | | | | | (6432) all_8_14 = e3 | all_8_14 = e2 | all_8_14 = e1 |
% 178.21/26.67 | | | | | | | | | | | | all_8_14 = e0
% 178.21/26.67 | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | BETA: splitting (239) gives:
% 178.21/26.67 | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | Case 1:
% 178.21/26.67 | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | (6433) all_8_4 = e4
% 178.21/26.67 | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | REF_CLOSE: (603), (6416), (6433) are inconsistent by
% 178.21/26.67 | | | | | | | | | | | | | sub-proof #787.
% 178.21/26.67 | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | Case 2:
% 178.21/26.67 | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | (6434) ~ (all_8_4 = e4)
% 178.21/26.67 | | | | | | | | | | | | | (6435) all_8_4 = e3 | all_8_4 = e2 | all_8_4 = e1 |
% 178.21/26.67 | | | | | | | | | | | | | all_8_4 = e0
% 178.21/26.67 | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | BETA: splitting (327) gives:
% 178.21/26.67 | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | Case 1:
% 178.21/26.67 | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | (6436) all_10_51 = e4
% 178.21/26.67 | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | COMBINE_EQS: (512), (6436) imply:
% 178.21/26.67 | | | | | | | | | | | | | | (6437) all_4_1 = e4
% 178.21/26.67 | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | REDUCE: (6413), (6437) imply:
% 178.21/26.67 | | | | | | | | | | | | | | (6438) $false
% 178.21/26.67 | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | CLOSE: (6438) is inconsistent.
% 178.21/26.67 | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | Case 2:
% 178.21/26.67 | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | (6439) ~ (all_10_51 = e4)
% 178.21/26.67 | | | | | | | | | | | | | | (6440) all_10_56 = e3 | all_10_61 = e2 | all_10_66 = e1 |
% 178.21/26.67 | | | | | | | | | | | | | | all_10_71 = e0
% 178.21/26.67 | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 178.21/26.67 | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | Case 1:
% 178.21/26.67 | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | (6441) all_8_5 = e4
% 178.21/26.67 | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | REF_CLOSE: (566), (6413), (6441) are inconsistent by
% 178.21/26.67 | | | | | | | | | | | | | | | sub-proof #784.
% 178.21/26.67 | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | Case 2:
% 178.21/26.67 | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | (6442) ~ (all_8_5 = e4)
% 178.21/26.67 | | | | | | | | | | | | | | | (6443) all_8_5 = e3 | all_8_5 = e2 | all_8_5 = e1 |
% 178.21/26.67 | | | | | | | | | | | | | | | all_8_5 = e0
% 178.21/26.67 | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 178.21/26.67 | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | Case 1:
% 178.21/26.67 | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | (6444) all_8_8 = e4
% 178.21/26.67 | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | REF_CLOSE: (595), (6415), (6444) are inconsistent by
% 178.21/26.67 | | | | | | | | | | | | | | | | sub-proof #563.
% 178.21/26.67 | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | Case 2:
% 178.21/26.67 | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | (6445) ~ (all_8_8 = e4)
% 178.21/26.67 | | | | | | | | | | | | | | | | (6446) all_8_8 = e3 | all_8_8 = e2 | all_8_8 = e1 |
% 178.21/26.67 | | | | | | | | | | | | | | | | all_8_8 = e0
% 178.21/26.67 | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 178.21/26.67 | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.67 | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | (6447) all_8_12 = e4
% 178.21/26.67 | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | REF_CLOSE: (588), (6389), (6447) are inconsistent by
% 178.21/26.67 | | | | | | | | | | | | | | | | | sub-proof #352.
% 178.21/26.67 | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.67 | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | (6448) ~ (all_8_12 = e4)
% 178.21/26.67 | | | | | | | | | | | | | | | | | (6449) all_8_12 = e3 | all_8_12 = e2 | all_8_12 = e1 |
% 178.21/26.67 | | | | | | | | | | | | | | | | | all_8_12 = e0
% 178.21/26.67 | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 178.21/26.67 | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.67 | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | (6450) all_8_2 = e4
% 178.21/26.67 | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (6387), (6450) are inconsistent by
% 178.21/26.67 | | | | | | | | | | | | | | | | | | sub-proof #777.
% 178.21/26.67 | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.67 | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | (6451) ~ (all_8_2 = e4)
% 178.21/26.67 | | | | | | | | | | | | | | | | | | (6452) all_8_2 = e3 | all_8_2 = e2 | all_8_2 = e1 |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | all_8_2 = e0
% 178.21/26.67 | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 178.21/26.67 | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.67 | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | (6453) all_8_17 = e4
% 178.21/26.67 | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (590), (6453) imply:
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | (6454) all_4_13 = e4
% 178.21/26.67 | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | REDUCE: (6390), (6454) imply:
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | (6455) $false
% 178.21/26.67 | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | CLOSE: (6455) is inconsistent.
% 178.21/26.67 | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.67 | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | (6456) ~ (all_8_17 = e4)
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | (6457) all_8_17 = e3 | all_8_17 = e2 | all_8_17 = e1 |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | all_8_17 = e0
% 178.21/26.67 | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | BETA: splitting (360) gives:
% 178.21/26.67 | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | (6458) all_12_20 = e2
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (6458) imply:
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | (6459) all_4_16 = e2
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | SIMP: (6459) implies:
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | (6460) all_4_16 = e2
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (424), (6460) imply:
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | (6461) all_10_54 = e2
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6398), (6460) imply:
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | (6462) all_10_47 = e2
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | REDUCE: (670), (6460) imply:
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | (6463) ~ (all_4_0 = e2)
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | REDUCE: (677), (6460) imply:
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | (6464) ~ (all_4_1 = e2)
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | REDUCE: (683), (6460) imply:
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | (6465) ~ (all_4_4 = e2)
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | REDUCE: (688), (6460) imply:
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | (6466) ~ (all_4_9 = e2)
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | REDUCE: (693), (6460) imply:
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | (6467) ~ (all_4_18 = e2)
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | SIMP: (6467) implies:
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | (6468) ~ (all_4_18 = e2)
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | REDUCE: (6391), (6460) imply:
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | (6469) ~ (e4 = e2)
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | REDUCE: (50), (6460) imply:
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | (6470) op(e2, all_4_17) = e4
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | REDUCE: (49), (6460) imply:
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | (6471) op(all_4_17, e2) = e0
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | REDUCE: (812), (6460) imply:
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | (6472) op(e0, e2) = all_10_45
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4,
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | all_10_45, e2, e0, simplifying with (6397), (6472)
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | gives:
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | (6473) all_10_45 = e4
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | BETA: splitting (359) gives:
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | (6474) all_12_20 = e1
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6458), (6474) imply:
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | (6475) e2 = e1
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | SIMP: (6475) implies:
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | (6476) e2 = e1
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (6476) imply:
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | (6477) $false
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | CLOSE: (6477) is inconsistent.
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | (6478) all_12_21 = e1 | all_12_22 = e1 | all_12_23 = e1 |
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | | all_12_24 = e1
% 178.21/26.67 | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (361) gives:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | (6479) all_12_20 = e3
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6458), (6479) imply:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | (6480) e3 = e2
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (6480) imply:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | (6481) $false
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6481) is inconsistent.
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | (6482) all_12_21 = e3 | all_12_22 = e3 | all_12_23 = e3 |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | all_12_24 = e3
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (329) gives:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | (6483) all_10_50 = e4
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (508), (6483) imply:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | (6484) all_4_0 = e4
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (671), (6484) imply:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | (6485) ~ (all_4_2 = e4)
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6485) implies:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | (6486) ~ (all_4_2 = e4)
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (668), (6484) imply:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | (6487) ~ (all_4_4 = e4)
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6487) implies:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | (6488) ~ (all_4_4 = e4)
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (669), (6484) imply:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | (6489) ~ (all_4_9 = e4)
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6489) implies:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | (6490) ~ (all_4_9 = e4)
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (673), (6484) imply:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | (6491) ~ (all_4_10 = e4)
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6491) implies:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | (6492) ~ (all_4_10 = e4)
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (674), (6484) imply:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | (6493) ~ (all_4_17 = e4)
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (767), (6484) imply:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | (6494) op(e4, e4) = all_10_0
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (792), (6484) imply:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | (6495) op(e4, e4) = all_10_25
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (41), (6484) imply:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | (6496) op(e4, e4) = e4
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_25,
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | all_10_0, e4, e4, simplifying with (6494), (6495)
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | (6497) all_10_0 = all_10_25
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_10_0,
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | e4, e4, simplifying with (6494), (6496) gives:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | (6498) all_10_0 = e4
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6497), (6498) imply:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | (6499) all_10_25 = e4
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6499) implies:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | (6500) all_10_25 = e4
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | (6501) all_8_15 = e4
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (570), (6490), (6501) are inconsistent by
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #782.
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | (6502) ~ (all_8_15 = e4)
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | (6503) all_8_15 = e3 | all_8_15 = e2 | all_8_15 = e1 |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | all_8_15 = e0
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | (6504) all_8_10 = e4
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (568), (6488), (6504) are inconsistent by
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #781.
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | (6505) ~ (all_8_10 = e4)
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | (6506) all_8_10 = e3 | all_8_10 = e2 | all_8_10 = e1 |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | all_8_10 = e0
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (325) gives:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (6507) all_10_53 = e4
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (534), (6490), (6507) are inconsistent by
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #779.
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (6508) ~ (all_10_53 = e4)
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (6509) all_10_58 = e3 | all_10_63 = e2 | all_10_68 = e1 |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_73 = e0
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (371) gives:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6510) all_12_12 = e4
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (6490), (6510) are inconsistent by
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #613.
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6511) all_12_13 = e4 | all_12_14 = e4 | all_12_15 = e4 |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_19 = e4
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (326) gives:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6512) all_10_52 = e4
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (463), (6488), (6512) are inconsistent by
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #778.
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6513) all_10_57 = e3 | all_10_62 = e2 | all_10_67 = e1 |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_72 = e0
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6514) all_8_3 = e4
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (594), (6492), (6514) are inconsistent by
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #789.
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6515) all_8_3 = e3 | all_8_3 = e2 | all_8_3 = e1 |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_3 = e0
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6516) all_8_1 = e4
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (574), (6486), (6516) are inconsistent by
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #776.
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6517) all_8_1 = e3 | all_8_1 = e2 | all_8_1 = e1 |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_1 = e0
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (363) gives:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6518) all_12_16 = e1
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (6518) imply:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6519) all_4_17 = e1
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (727), (6519) imply:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6520) ~ (all_4_5 = e1)
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6416), (6519) imply:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6521) ~ (e4 = e1)
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6471), (6519) imply:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6522) op(e1, e2) = e0
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (796), (6519) imply:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6523) op(e4, e1) = all_10_29
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6470), (6519) imply:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6524) op(e2, e1) = e4
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_13, e0,
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (24), (6522) gives:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6525) all_4_13 = e0
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_14, e4,
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (28), (6524) gives:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6526) all_4_14 = e4
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_10,
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_29, e1, e4, simplifying with (38), (6523)
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6527) all_10_29 = all_4_10
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (532), (6526) imply:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6528) all_10_67 = e4
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (435), (6525) imply:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6529) all_10_63 = e0
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (724), (6525) imply:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6530) ~ (all_4_5 = e0)
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (690), (6525) imply:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6531) ~ (all_4_9 = e0)
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (738), (6525) imply:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6532) ~ (all_4_15 = e0)
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6532) implies:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6533) ~ (all_4_15 = e0)
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (739), (6525) imply:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6534) ~ (all_4_23 = e0)
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (52), (6525), (6526) imply:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6535) op(e4, e0) = e1
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (805), (6526) imply:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6536) op(e2, e4) = all_10_38
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (809), (6525) imply:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6537) op(e1, e0) = all_10_42
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6511) gives:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6538) all_12_13 = e4
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (662), (6538) imply:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6539) all_4_11 = e4
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6539) implies:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6540) all_4_11 = e4
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (6540) imply:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6541) all_10_58 = e4
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (710), (6540) imply:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6542) ~ (all_4_6 = e4)
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (717), (6540) imply:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6543) ~ (all_4_15 = e4)
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6543) implies:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6544) ~ (all_4_15 = e4)
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (6540) imply:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6545) ~ (all_4_18 = e4)
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (55), (6540) imply:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6546) op(e4, all_4_12) = e3
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (775), (6540) imply:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6547) op(e4, e3) = all_10_16
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (54), (6540) imply:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6548) op(all_4_12, e4) = e1
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (808), (6540) imply:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6549) op(e1, e4) = all_10_41
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6509) gives:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6550) all_10_58 = e3
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (6541), (6550) are inconsistent by sub-proof
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #351.
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6551) all_10_63 = e2 | all_10_68 = e1 | all_10_73 = e0
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6551) gives:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6552) all_10_63 = e2
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6529), (6552) imply:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6553) e2 = e0
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (6553) imply:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6554) $false
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6554) is inconsistent.
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6555) all_10_68 = e1 | all_10_73 = e0
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6555) gives:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6556) all_10_68 = e1
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (6556) imply:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6557) all_4_15 = e1
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6557) implies:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6558) all_4_15 = e1
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (691), (6558) imply:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6559) ~ (all_4_9 = e1)
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (6558) imply:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6560) ~ (all_4_10 = e1)
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (6558) imply:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6561) ~ (all_4_12 = e1)
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (754), (6558) imply:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6562) ~ (all_4_22 = e1)
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6562) implies:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6563) ~ (all_4_22 = e1)
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (755), (6558) imply:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6564) ~ (all_4_23 = e1)
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6564) implies:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6565) ~ (all_4_23 = e1)
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (785), (6558) imply:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6566) op(e1, e1) = all_10_18
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (810), (6558) imply:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6567) op(e1, e1) = all_10_43
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23), (6558) imply:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6568) op(e1, e1) = e1
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6503) gives:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6569) all_8_15 = e3
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (570), (6569) imply:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6570) all_4_9 = e3
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (676), (6570) imply:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6571) ~ (all_4_1 = e3)
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (692), (6570) imply:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6572) ~ (all_4_23 = e3)
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6572) implies:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6573) ~ (all_4_23 = e3)
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6490), (6570) imply:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6574) ~ (e4 = e3)
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (6570) imply:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6575) op(e3, all_4_10) = e4
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (56), (6570) imply:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6576) op(all_4_10, e3) = e1
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (807), (6570) imply:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6577) op(e1, e3) = all_10_40
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (365) gives:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6578) all_12_16 = e3
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6518), (6578) are inconsistent by sub-proof
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #366.
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6579) ~ (all_12_16 = e3)
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6580) all_12_17 = e3 | all_12_18 = e3 | all_12_19 = e3 |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_24 = e3
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6518), (6579) imply:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6581) ~ (e3 = e1)
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2874) gives:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6582) all_8_23 = e3
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (602), (6582) imply:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6583) all_4_22 = e3
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (720), (6583) imply:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6584) ~ (all_4_18 = e3)
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (44), (6583) imply:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6585) op(e3, all_4_23) = e1
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (786), (6583) imply:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6586) op(e3, e1) = all_10_23
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (815), (6583) imply:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6587) op(e0, e3) = all_10_48
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6478) gives:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.21/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6588) all_12_21 = e1
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (656), (6588) imply:
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6589) all_4_18 = e1
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6589) implies:
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6590) all_4_18 = e1
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (700), (6590) imply:
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6591) ~ (all_4_2 = e1)
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6421), (6590) imply:
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6592) op(e1, e4) = e3
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (776), (6590) imply:
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6593) op(e1, e3) = all_10_21
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (813), (6590) imply:
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6594) op(e0, e1) = all_10_46
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6429) gives:
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6595) all_8_19 = e3
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (551), (6573), (6595) are inconsistent by
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #668.
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6596) ~ (all_8_19 = e3)
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6597) all_8_19 = e2 | all_8_19 = e1 | all_8_19 = e0
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6580) gives:
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6598) all_12_17 = e3
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6412), (6598) imply:
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6599) e4 = e3
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (6599) imply:
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6600) $false
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6600) is inconsistent.
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6601) all_12_18 = e3 | all_12_19 = e3 | all_12_24 = e3
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6601) gives:
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6602) all_12_18 = e3
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (658), (6602) imply:
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6603) all_4_21 = e3
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (687), (6603) imply:
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6604) ~ (all_4_4 = e3)
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (6603) imply:
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6605) ~ (all_4_6 = e3)
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (789), (6603) imply:
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6606) op(e3, e0) = all_10_14
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (806), (6603) imply:
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6607) op(e2, e3) = all_10_39
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6597) gives:
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6608) all_8_19 = e2
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (551), (6608) imply:
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6609) all_4_23 = e2
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (790), (6609) imply:
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6610) op(e2, e0) = all_10_19
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6585), (6609) imply:
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6611) op(e3, e2) = e1
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (811), (6609) imply:
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6612) op(e1, e2) = all_10_44
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6513) gives:
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6613) all_10_57 = e3
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (523), (6613) imply:
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6614) all_4_6 = e3
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6605), (6614) imply:
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6615) $false
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6615) is inconsistent.
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6616) ~ (all_10_57 = e3)
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6617) all_10_62 = e2 | all_10_67 = e1 | all_10_72 = e0
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6617) gives:
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6618) all_10_62 = e2
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (455), (6618) imply:
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6619) all_4_8 = e2
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6619) implies:
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6620) all_4_8 = e2
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (723), (6620) imply:
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6621) ~ (all_4_5 = e2)
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (712), (6620) imply:
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6622) ~ (all_4_6 = e2)
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (728), (6620) imply:
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6623) ~ (all_4_7 = e2)
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (779), (6620) imply:
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6624) op(e2, e2) = all_10_12
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (804), (6620) imply:
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6625) op(e2, e2) = all_10_37
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (29), (6620) imply:
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6626) op(e2, e2) = e2
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6627) all_8_11 = e4
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (578), (6542), (6627) are inconsistent by
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #562.
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6628) all_8_11 = e3 | all_8_11 = e2 | all_8_11 = e1 |
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_11 = e0
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6628) gives:
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6629) all_8_11 = e3
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (578), (6605), (6629) are inconsistent by
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #558.
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6630) all_8_11 = e2 | all_8_11 = e1 | all_8_11 = e0
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (378) gives:
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6631) all_12_6 = e1
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (6631) imply:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6632) all_4_4 = e1
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6632) implies:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6633) all_4_4 = e1
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (675), (6633) imply:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6634) ~ (all_4_1 = e1)
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (6633) imply:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6635) ~ (all_4_6 = e1)
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6635) implies:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6636) ~ (all_4_6 = e1)
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (6633) imply:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6637) op(e1, all_4_5) = e4
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (769), (6633) imply:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6638) op(e1, e4) = all_10_10
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (802), (6633) imply:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6639) op(e2, e1) = all_10_35
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6440) gives:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6640) all_10_56 = e3
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (514), (6640) imply:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6641) all_4_3 = e3
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (708), (6641) imply:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6642) ~ (all_4_12 = e3)
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6642) implies:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6643) ~ (all_4_12 = e3)
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (773), (6641) imply:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6644) op(e3, e3) = all_10_6
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (798), (6641) imply:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6645) op(e3, e3) = all_10_31
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (35), (6641) imply:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6646) op(e3, e3) = e3
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (383) gives:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6647) all_12_4 = e1
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (6647) imply:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6648) all_4_5 = e1
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6520), (6648) imply:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6649) $false
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6649) is inconsistent.
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6650) all_12_5 = e1 | all_12_8 = e1 | all_12_14 = e1 |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_22 = e1
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (385) gives:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6651) all_12_4 = e3
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (6651) imply:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6652) all_4_5 = e3
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (701), (6652) imply:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6653) ~ (all_4_2 = e3)
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (726), (6652) imply:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6654) ~ (all_4_10 = e3)
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6654) implies:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6655) ~ (all_4_10 = e3)
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (777), (6652) imply:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6656) op(e3, e2) = all_10_2
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (794), (6652) imply:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6657) op(e4, e3) = all_10_27
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6637), (6652) imply:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6658) op(e1, e3) = e4
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6443) gives:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6659) all_8_5 = e3
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (566), (6571), (6659) are inconsistent by
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #764.
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6660) all_8_5 = e2 | all_8_5 = e1 | all_8_5 = e0
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6660) gives:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6661) all_8_5 = e2
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (566), (6464), (6661) are inconsistent by
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #763.
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6662) all_8_5 = e1 | all_8_5 = e0
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6662) gives:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6663) all_8_5 = e1
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (566), (6634), (6663) are inconsistent by
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #762.
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6664) all_8_5 = e0
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (566), (6664) imply:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6665) all_4_1 = e0
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6665) implies:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6666) all_4_1 = e0
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6425), (6666) imply:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6667) all_10_34 = e0
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (64), (6666) imply:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6668) op(all_4_2, e0) = e3
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (797), (6666) imply:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6669) op(e3, e0) = all_10_30
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6446) gives:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6670) all_8_8 = e3
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (595), (6643), (6670) are inconsistent by
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #491.
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6671) all_8_8 = e2 | all_8_8 = e1 | all_8_8 = e0
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (394) gives:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6672) all_12_1 = e2
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (6672) imply:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6673) all_4_2 = e2
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (698), (6673) imply:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6674) ~ (all_4_6 = e2)
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (702), (6673) imply:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6675) ~ (all_4_10 = e2)
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6675) implies:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6676) ~ (all_4_10 = e2)
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (772), (6673) imply:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6677) op(e2, e3) = all_10_1
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6668), (6673) imply:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6678) op(e2, e0) = e3
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (793), (6673) imply:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6679) op(e4, e2) = all_10_26
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (40), (6673) imply:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6680) op(e4, e3) = e2
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (372) gives:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6681) all_12_9 = e0
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (6681) imply:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6682) all_4_10 = e0
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6527), (6682) imply:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6683) all_10_29 = e0
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (742), (6682) imply:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6684) ~ (all_4_12 = e0)
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6684) implies:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6685) ~ (all_4_12 = e0)
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6576), (6682) imply:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6686) op(e0, e3) = e1
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (782), (6682) imply:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6687) op(e0, e1) = all_10_3
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (795), (6682) imply:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6688) op(e4, e0) = all_10_28
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6671) gives:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6689) all_8_8 = e2
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (595), (6689) imply:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6690) all_4_12 = e2
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6690) implies:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6691) all_4_12 = e2
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6548), (6691) imply:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6692) op(e2, e4) = e1
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (783), (6691) imply:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6693) op(e2, e1) = all_10_8
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6546), (6691) imply:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6694) op(e4, e2) = e3
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (800), (6691) imply:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6695) op(e3, e2) = all_10_33
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (33), (6691) imply:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6696) op(e3, e1) = e2
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6630) gives:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6697) all_8_11 = e2
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (578), (6622), (6697) are inconsistent by
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #557.
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6698) all_8_11 = e1 | all_8_11 = e0
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6698) gives:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6699) all_8_11 = e1
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (578), (6636), (6699) are inconsistent by
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #556.
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6700) all_8_11 = e0
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (578), (6700) imply:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6701) all_4_6 = e0
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6701) implies:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6702) all_4_6 = e0
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (60), (6702) imply:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6703) op(e0, all_4_7) = e3
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (774), (6702) imply:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6704) op(e0, e3) = all_10_11
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (59), (6702) imply:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6705) op(all_4_7, e0) = e2
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (803), (6702) imply:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6706) op(e2, e0) = all_10_36
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (30), (6702) imply:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6707) op(e2, e3) = e0
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6650) gives:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6708) all_12_5 = e1
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (6708) imply:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6709) all_4_7 = e1
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6709) implies:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6710) all_4_7 = e1
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (778), (6710) imply:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6711) op(e1, e2) = all_10_7
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6705), (6710) imply:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6712) op(e1, e0) = e2
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (799), (6710) imply:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6713) op(e3, e1) = all_10_32
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6703), (6710) imply:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6714) op(e0, e1) = e3
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_46,
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_3, e1, e0, simplifying with (6594), (6687)
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6715) all_10_3 = all_10_46
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_10_3,
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, simplifying with (6687), (6714) gives:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6716) all_10_3 = e3
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_48,
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_11, e3, e0, simplifying with (6587), (6704)
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6717) all_10_11 = all_10_48
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_11, e3, e0, simplifying with (6686), (6704)
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6718) all_10_11 = e1
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_42, e0, e1, simplifying with (6537), (6712)
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6719) all_10_42 = e2
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_43,
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_18, e1, e1, simplifying with (6566), (6567)
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6720) all_10_18 = all_10_43
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_18, e1, e1, simplifying with (6566), (6568)
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6721) all_10_18 = e1
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_10_7,
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (6522), (6711) gives:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6722) all_10_7 = e0
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_44,
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_7, e2, e1, simplifying with (6612), (6711)
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6723) all_10_7 = all_10_44
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_40,
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_21, e3, e1, simplifying with (6577), (6593)
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6724) all_10_21 = all_10_40
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4,
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_21, e3, e1, simplifying with (6593), (6658)
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6725) all_10_21 = e4
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_41,
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_10, e4, e1, simplifying with (6549), (6638)
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6726) all_10_10 = all_10_41
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_10, e4, e1, simplifying with (6592), (6638)
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6727) all_10_10 = e3
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_36,
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_19, e0, e2, simplifying with (6610), (6706)
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6728) all_10_19 = all_10_36
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_19, e0, e2, simplifying with (6610), (6678)
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6729) all_10_19 = e3
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_10_8,
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (6524), (6693) gives:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6730) all_10_8 = e4
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_35,
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_8, e1, e2, simplifying with (6639), (6693)
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6731) all_10_8 = all_10_35
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_37,
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_12, e2, e2, simplifying with (6624), (6625)
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6732) all_10_12 = all_10_37
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_12, e2, e2, simplifying with (6624), (6626)
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6733) all_10_12 = e2
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_39,
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_1, e3, e2, simplifying with (6607), (6677)
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6734) all_10_1 = all_10_39
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_10_1,
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (6677), (6707) gives:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6735) all_10_1 = e0
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_38, e4, e2, simplifying with (6536), (6692)
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6736) all_10_38 = e1
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4,
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_14, e0, e3, simplifying with (6424), (6606)
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6737) all_10_14 = e4
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_30,
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_14, e0, e3, simplifying with (6606), (6669)
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6738) all_10_14 = all_10_30
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_32,
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_23, e1, e3, simplifying with (6586), (6713)
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6739) all_10_23 = all_10_32
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_23, e1, e3, simplifying with (6586), (6696)
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6740) all_10_23 = e2
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_33,
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_2, e2, e3, simplifying with (6656), (6695)
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6741) all_10_2 = all_10_33
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_10_2,
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (6611), (6656) gives:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6742) all_10_2 = e1
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_31,
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_6, e3, e3, simplifying with (6644), (6645)
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6743) all_10_6 = all_10_31
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_10_6,
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (6644), (6646) gives:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6744) all_10_6 = e3
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_28, e0, e4, simplifying with (6535), (6688)
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6745) all_10_28 = e1
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_26, e2, e4, simplifying with (6679), (6694)
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6746) all_10_26 = e3
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_27,
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_16, e3, e4, simplifying with (6547), (6657)
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6747) all_10_16 = all_10_27
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_16, e3, e4, simplifying with (6547), (6680)
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6748) all_10_16 = e2
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6734), (6735) imply:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6749) all_10_39 = e0
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6749) implies:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6750) all_10_39 = e0
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6741), (6742) imply:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6751) all_10_33 = e1
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6751) implies:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6752) all_10_33 = e1
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6715), (6716) imply:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6753) all_10_46 = e3
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6753) implies:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6754) all_10_46 = e3
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6743), (6744) imply:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6755) all_10_31 = e3
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6755) implies:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6756) all_10_31 = e3
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6722), (6723) imply:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6757) all_10_44 = e0
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6730), (6731) imply:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6758) all_10_35 = e4
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6758) implies:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6759) all_10_35 = e4
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6726), (6727) imply:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6760) all_10_41 = e3
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6760) implies:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6761) all_10_41 = e3
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6717), (6718) imply:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6762) all_10_48 = e1
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6762) implies:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6763) all_10_48 = e1
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6732), (6733) imply:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6764) all_10_37 = e2
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6764) implies:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6765) all_10_37 = e2
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6737), (6738) imply:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6766) all_10_30 = e4
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6766) implies:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6767) all_10_30 = e4
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6747), (6748) imply:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6768) all_10_27 = e2
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6768) implies:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6769) all_10_27 = e2
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6720), (6721) imply:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6770) all_10_43 = e1
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6770) implies:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6771) all_10_43 = e1
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6728), (6729) imply:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6772) all_10_36 = e3
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6772) implies:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6773) all_10_36 = e3
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6724), (6725) imply:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6774) all_10_40 = e4
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6774) implies:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6775) all_10_40 = e4
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6739), (6740) imply:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6776) all_10_32 = e2
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6776) implies:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6777) all_10_32 = e2
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (330) gives:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6778) ~ (all_10_25 = e4)
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6500), (6778) imply:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6779) $false
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6779) is inconsistent.
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6780) ~ (all_10_26 = e3) | ~ (all_10_27 = e2) | ~
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_28 = e1) | ~ (all_10_29 = e0) | ~
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_30 = e4) | ~ (all_10_31 = e3) | ~
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_32 = e2) | ~ (all_10_33 = e1) | ~
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_34 = e0) | ~ (all_10_35 = e4) | ~
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_36 = e3) | ~ (all_10_37 = e2) | ~
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_38 = e1) | ~ (all_10_39 = e0) | ~
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_40 = e4) | ~ (all_10_41 = e3) | ~
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_42 = e2) | ~ (all_10_43 = e1) | ~
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_44 = e0) | ~ (all_10_45 = e4) | ~
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_46 = e3) | ~ (all_10_47 = e2) | ~
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_48 = e1) | ~ (all_10_49 = e0)
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (834), (6462), (6473), (6667), (6683), (6719),
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6736), (6745), (6746), (6750), (6752), (6754),
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6756), (6757), (6759), (6761), (6763), (6765),
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6767), (6769), (6771), (6773), (6775), (6777),
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6780) are inconsistent by sub-proof #759.
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6781) ~ (all_12_5 = e1)
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (6781) imply:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6782) ~ (all_4_7 = e1)
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (6611), (6782), (function-axioms) are
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #350.
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6783) all_8_8 = e1 | all_8_8 = e0
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (595), (6546), (6655), (6685), (6783),
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #519.
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6784) ~ (all_12_9 = e0)
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (494), (6784) imply:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6785) ~ (all_4_10 = e0)
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (594), (6515), (6560), (6655), (6676), (6785) are
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #734.
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6786) ~ (all_12_1 = e2)
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (666), (6786) imply:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6787) ~ (all_4_2 = e2)
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6630) gives:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6788) all_8_11 = e2
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (578), (6622), (6788) are inconsistent by
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #557.
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6789) all_8_11 = e1 | all_8_11 = e0
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6789) gives:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6790) all_8_11 = e1
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (578), (6636), (6790) are inconsistent by
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #556.
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6791) all_8_11 = e0
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (578), (6791) imply:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6792) all_4_6 = e0
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6792) implies:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6793) all_4_6 = e0
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (698), (6793) imply:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6794) ~ (all_4_2 = e0)
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (574), (6517), (6591), (6653), (6787), (6794) are
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #542.
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6795) ~ (all_12_4 = e3)
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (498), (6795) imply:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6796) ~ (all_4_5 = e3)
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (583), (722), (6452), (6530), (6611),
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6621), (6796), (function-axioms) are inconsistent
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #349.
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6797) all_10_61 = e2 | all_10_66 = e1 | all_10_71 = e0
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (472), (518), (547), (823), (6561), (6623), (6797)
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #722.
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6798) ~ (all_12_6 = e1)
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (665), (6798) imply:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6799) ~ (all_4_4 = e1)
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (383) gives:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6800) all_12_4 = e1
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (6800) imply:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6801) all_4_5 = e1
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6520), (6801) imply:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6802) $false
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6802) is inconsistent.
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6803) all_12_5 = e1 | all_12_8 = e1 | all_12_14 = e1 |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_22 = e1
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (478), (566), (568), (675), (679), (6443),
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6464), (6465), (6506), (6571), (6604), (6611),
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6799), (6803), (function-axioms) are inconsistent
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #348.
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6804) all_10_67 = e1 | all_10_72 = e0
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (448), (825), (6528), (6804) are
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #461.
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6805) all_8_19 = e1 | all_8_19 = e0
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (551), (827), (6565), (6805) are inconsistent by
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #721.
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6806) all_12_19 = e3 | all_12_24 = e3
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (430), (817), (6573), (6806) are inconsistent
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #355.
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6807) ~ (all_12_21 = e1)
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (656), (6807) imply:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6808) ~ (all_4_18 = e1)
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (582), (822), (5083), (6468), (6584), (6808) are
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #347.
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6809) ~ (all_8_23 = e3)
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (602), (6809) imply:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6810) ~ (all_4_22 = e3)
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6478) gives:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6811) all_12_21 = e1
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6482) gives:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6812) all_12_21 = e3
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6811), (6812) imply:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6813) e3 = e1
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (6813) imply:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6814) $false
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6814) is inconsistent.
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6815) all_12_22 = e3 | all_12_23 = e3 | all_12_24 = e3
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6815) gives:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6816) all_12_22 = e3
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (6383), (6816) are inconsistent by sub-proof
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #346.
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6817) all_12_23 = e3 | all_12_24 = e3
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (414), (817), (6810), (6817) are inconsistent
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #481.
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6818) all_12_22 = e1 | all_12_23 = e1 | all_12_24 = e1
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12), (414), (817), (6383), (6563), (6818)
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #344.
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6819) all_8_15 = e2 | all_8_15 = e1 | all_8_15 = e0
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (570), (6466), (6531), (6559), (6819) are
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #728.
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6820) all_10_73 = e0
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (654), (827), (6820) are inconsistent by sub-proof
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #646.
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6821) all_12_14 = e4 | all_12_15 = e4 | all_12_19 = e4
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (41), (51), (430), (660), (661), (6390),
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6420), (6496), (6821), (function-axioms) are
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #508.
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6822) ~ (all_12_16 = e1)
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (659), (6822) imply:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6823) ~ (all_4_17 = e1)
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (364) gives:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6824) all_12_16 = e2
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (6824) imply:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6825) all_4_17 = e2
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6470), (6825) imply:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6826) op(e2, e2) = e4
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (6389), (6826), (function-axioms) are
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #736.
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6827) ~ (all_12_16 = e2)
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (659), (6827) imply:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6828) ~ (all_4_17 = e2)
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6435) gives:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6829) all_8_4 = e3
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (603), (6829) imply:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6830) all_4_17 = e3
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6830) implies:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6831) all_4_17 = e3
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6470), (6831) imply:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6832) op(e2, e3) = e4
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_6, e4,
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (30), (6832) gives:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6833) all_4_6 = e4
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (710), (6833) imply:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6834) ~ (all_4_11 = e4)
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6834) implies:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6835) ~ (all_4_11 = e4)
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (41), (51), (430), (660), (661), (662),
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6390), (6420), (6496), (6511), (6835),
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #427.
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6836) all_8_4 = e2 | all_8_4 = e1 | all_8_4 = e0
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (603), (821), (6823), (6828), (6836) are
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #368.
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | (6837) ~ (all_10_50 = e4)
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | (6838) all_10_51 = e3 | all_10_52 = e2 | all_10_53 = e1 |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | all_10_54 = e0
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (508), (6837) imply:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | (6839) ~ (all_4_0 = e4)
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | (6840) all_8_0 = e4
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (564), (6839), (6840) are inconsistent by
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #706.
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | (6841) ~ (all_8_0 = e4)
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | (6842) all_8_0 = e3 | all_8_0 = e2 | all_8_0 = e1 |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | all_8_0 = e0
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (328) gives:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | (6843) all_10_50 = e4
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (508), (6843) imply:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | (6844) all_4_0 = e4
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6839), (6844) imply:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | (6845) $false
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6845) is inconsistent.
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | (6846) all_10_55 = e3 | all_10_60 = e2 | all_10_65 = e1 |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | all_10_70 = e0
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (405) gives:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | (6847) all_12_0 = e4
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (6847) imply:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | (6848) all_4_0 = e4
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6839), (6848) imply:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | (6849) $false
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6849) is inconsistent.
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | (6850) ~ (all_12_0 = e4)
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | (6851) all_12_2 = e4 | all_12_6 = e4 | all_12_12 = e4 |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_20 = e4
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (406) gives:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6852) all_12_0 = e4
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (6852) imply:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6853) all_4_0 = e4
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6839), (6853) imply:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6854) $false
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6854) is inconsistent.
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6855) all_12_1 = e4 | all_12_4 = e4 | all_12_9 = e4 |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_16 = e4
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6856) all_8_10 = e4
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (568), (6856) imply:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6857) all_4_4 = e4
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (682), (6857) imply:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6858) ~ (all_4_9 = e4)
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6858) implies:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6859) ~ (all_4_9 = e4)
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (6857) imply:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6860) op(e4, all_4_5) = e4
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (769), (6857) imply:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6861) op(e4, e4) = all_10_10
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (61), (6857) imply:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6862) op(all_4_5, e4) = e2
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_0,
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_10, e4, e4, simplifying with (41), (6861)
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6863) all_10_10 = all_4_0
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_27,
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, all_4_5, e4, simplifying with (794), (6860)
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6864) all_10_27 = e4
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (376) gives:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6865) all_12_9 = e4
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (6865) imply:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6866) all_4_10 = e4
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6866) implies:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6867) all_4_10 = e4
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (6867) imply:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6868) ~ (all_4_15 = e4)
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6868) implies:
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6869) ~ (all_4_15 = e4)
% 178.55/26.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (35), (66), (399), (404), (506), (564),
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (830), (6414), (6463), (6839), (6842), (6869),
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #637.
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6870) ~ (all_12_9 = e4)
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (494), (6870) imply:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6871) ~ (all_4_10 = e4)
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6855) gives:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6872) all_12_1 = e4
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (6872) imply:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6873) all_4_2 = e4
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (500), (6873) imply:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6874) all_10_55 = e4
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (701), (6873) imply:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6875) ~ (all_4_5 = e4)
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (699), (6873) imply:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6876) ~ (all_4_11 = e4)
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6876) implies:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6877) ~ (all_4_11 = e4)
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (371) gives:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6878) all_12_12 = e4
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (6859), (6878) are inconsistent by
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #613.
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6879) all_12_13 = e4 | all_12_14 = e4 | all_12_15 = e4 |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_19 = e4
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11), (14), (39), (41), (51), (62), (321),
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (326), (381), (430), (431), (446), (448), (454),
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (455), (462), (463), (472), (486), (488), (514),
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (516), (518), (523), (528), (532), (560), (657),
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (658), (660), (661), (662), (664), (665), (668),
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (673), (684), (685), (686), (687), (704), (722),
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (723), (743), (748), (769), (794), (821), (825),
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (826), (6387), (6390), (6391), (6411), (6413),
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6420), (6440), (6846), (6851), (6859), (6874),
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6877), (6879), (function-axioms) are inconsistent
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #343.
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6880) all_12_4 = e4 | all_12_9 = e4 | all_12_16 = e4
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (494), (498), (659), (6416), (6860), (6862),
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6871), (6880), (function-axioms) are inconsistent
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #342.
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6881) ~ (all_8_10 = e4)
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (568), (6881) imply:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6882) ~ (all_4_4 = e4)
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6851) gives:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6883) all_12_2 = e4
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (6413), (6883) are inconsistent by
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #695.
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6884) all_12_6 = e4 | all_12_12 = e4 | all_12_20 = e4
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12), (13), (40), (41), (56), (57), (64),
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (396), (446), (463), (494), (498), (512), (534),
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (659), (665), (666), (676), (770), (772), (795),
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6387), (6416), (6458), (6461), (6465), (6838),
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6855), (6882), (6884), (function-axioms) are
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #341.
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | (6885) ~ (all_12_20 = e2)
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | (6886) all_12_21 = e2 | all_12_22 = e2 | all_12_23 = e2 |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | all_12_24 = e2
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | REDUCE: (657), (6885) imply:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | (6887) ~ (all_4_16 = e2)
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | BETA: splitting (363) gives:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | (6888) all_12_16 = e1
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (6888) imply:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | (6889) all_4_17 = e1
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | REDUCE: (50), (6889) imply:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | (6890) op(all_4_16, e1) = e4
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | REDUCE: (49), (6889) imply:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | (6891) op(e1, all_4_16) = e0
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (23), (33), (361), (572), (657), (820),
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | (6404), (6415), (6887), (6890), (6891),
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | #475.
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | (6892) ~ (all_12_16 = e1)
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | (6893) all_12_17 = e1 | all_12_18 = e1 | all_12_19 = e1 |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | all_12_24 = e1
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | REDUCE: (659), (6892) imply:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | (6894) ~ (all_4_17 = e1)
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (376) gives:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | (6895) all_12_9 = e4
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (6895) imply:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | (6896) all_4_10 = e4
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | SIMP: (6896) implies:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | (6897) all_4_10 = e4
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (673), (6897) imply:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | (6898) ~ (all_4_0 = e4)
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (6897) imply:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | (6899) op(all_4_9, e4) = e4
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (56), (6897) imply:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | (6900) op(e4, all_4_9) = e1
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (782), (6897) imply:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | (6901) op(e4, e1) = all_10_3
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (795), (6897) imply:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | (6902) op(e4, e4) = all_10_28
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (38), (6897) imply:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | (6903) op(e4, e1) = e4
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_10_3,
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | e1, e4, simplifying with (6901), (6903) gives:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | (6904) all_10_3 = e4
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_0,
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | all_10_28, e4, e4, simplifying with (41), (6902)
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | (6905) all_10_28 = all_4_0
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_15,
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | e4, e4, all_4_9, simplifying with (770), (6899)
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | (6906) all_10_15 = e4
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (405) gives:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | (6907) all_12_0 = e4
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (6907) imply:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | (6908) all_4_0 = e4
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6898), (6908) imply:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | (6909) $false
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6909) is inconsistent.
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | (6910) all_12_2 = e4 | all_12_6 = e4 | all_12_12 = e4 |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | all_12_20 = e4
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (381) gives:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | (6911) all_12_6 = e4
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (6911) imply:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | (6912) all_4_4 = e4
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6912) implies:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | (6913) all_4_4 = e4
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (463), (6913) imply:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | (6914) all_10_52 = e4
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (6913) imply:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | (6915) ~ (all_4_8 = e4)
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (682), (6913) imply:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | (6916) ~ (all_4_9 = e4)
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6916) implies:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | (6917) ~ (all_4_9 = e4)
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (329) gives:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | (6918) all_10_50 = e4
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (508), (6898), (6918) are inconsistent by
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #631.
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | (6919) ~ (all_10_50 = e4)
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | (6920) all_10_51 = e3 | all_10_52 = e2 | all_10_53 = e1 |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | all_10_54 = e0
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | (6921) all_8_0 = e4
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (564), (6898), (6921) are inconsistent by
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #706.
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | (6922) ~ (all_8_0 = e4)
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | (6923) all_8_0 = e3 | all_8_0 = e2 | all_8_0 = e1 |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_0 = e0
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (361) gives:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6924) all_12_20 = e3
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (6924) imply:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6925) all_4_16 = e3
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6925) implies:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6926) all_4_16 = e3
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (677), (6926) imply:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6927) ~ (all_4_1 = e3)
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (424), (512), (534), (820), (6900), (6903),
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6914), (6917), (6920), (6927), (function-axioms)
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #340.
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6928) ~ (all_12_20 = e3)
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (657), (6928) imply:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6929) ~ (all_4_16 = e3)
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6404) gives:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6930) all_8_20 = e3
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (572), (6929), (6930) are inconsistent by
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #579.
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6931) all_8_20 = e2 | all_8_20 = e1 | all_8_20 = e0
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (35), (66), (401), (404), (506), (564),
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (572), (670), (820), (830), (6389), (6414),
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6887), (6898), (6923), (6931), (function-axioms)
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #589.
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | (6932) ~ (all_12_6 = e4)
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (665), (6932) imply:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | (6933) ~ (all_4_4 = e4)
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (41), (446), (486), (657), (665), (6391),
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | (6413), (6899), (6900), (6910), (6933),
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | #339.
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | (6934) ~ (all_12_9 = e4)
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | (6935) all_12_10 = e4 | all_12_11 = e4 | all_12_15 = e4 |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | all_12_23 = e4
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (494), (6934) imply:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | (6936) ~ (all_4_10 = e4)
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (406) gives:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | (6937) all_12_0 = e4
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (6937) imply:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | (6938) all_4_0 = e4
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (671), (6938) imply:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | (6939) ~ (all_4_2 = e4)
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6939) implies:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | (6940) ~ (all_4_2 = e4)
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (668), (6938) imply:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | (6941) ~ (all_4_4 = e4)
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6941) implies:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | (6942) ~ (all_4_4 = e4)
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (669), (6938) imply:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | (6943) ~ (all_4_9 = e4)
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6943) implies:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | (6944) ~ (all_4_9 = e4)
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (673), (6938) imply:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | (6945) ~ (all_4_10 = e4)
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (674), (6938) imply:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | (6946) ~ (all_4_17 = e4)
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (767), (6938) imply:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | (6947) op(e4, e4) = all_10_0
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (41), (6938) imply:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | (6948) op(e4, e4) = e4
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_10_0,
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | e4, e4, simplifying with (6947), (6948) gives:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | (6949) all_10_0 = e4
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (321) gives:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | (6950) all_10_65 = e4
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (528), (6936), (6950) are inconsistent by
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #790.
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | (6951) ~ (all_10_65 = e4)
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | (6952) all_10_66 = e3 | all_10_67 = e2 | all_10_68 = e1 |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | all_10_69 = e0
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (323) gives:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | (6953) all_10_55 = e4
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (500), (6953) imply:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | (6954) all_4_2 = e4
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6940), (6954) imply:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | (6955) $false
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6955) is inconsistent.
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | (6956) ~ (all_10_55 = e4)
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | (6957) all_10_56 = e3 | all_10_57 = e2 | all_10_58 = e1 |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | all_10_59 = e0
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (326) gives:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | (6958) all_10_52 = e4
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (463), (6942), (6958) are inconsistent by
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #778.
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | (6959) ~ (all_10_52 = e4)
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | (6960) all_10_57 = e3 | all_10_62 = e2 | all_10_67 = e1 |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_72 = e0
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (381) gives:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6961) all_12_6 = e4
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (665), (6942), (6961) are inconsistent by
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #780.
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6962) ~ (all_12_6 = e4)
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6963) all_12_7 = e4 | all_12_8 = e4 | all_12_11 = e4 |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_18 = e4
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6964) all_8_15 = e4
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (570), (6944), (6964) are inconsistent by
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #782.
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6965) all_8_15 = e3 | all_8_15 = e2 | all_8_15 = e1 |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_15 = e0
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6966) all_8_1 = e4
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (574), (6940), (6966) are inconsistent by
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #776.
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6967) all_8_1 = e3 | all_8_1 = e2 | all_8_1 = e1 |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_1 = e0
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6968) all_8_3 = e4
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (594), (6936), (6968) are inconsistent by
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #789.
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6969) all_8_3 = e3 | all_8_3 = e2 | all_8_3 = e1 |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_3 = e0
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6970) all_8_10 = e4
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (568), (6942), (6970) are inconsistent by
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #781.
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6971) all_8_10 = e3 | all_8_10 = e2 | all_8_10 = e1 |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_10 = e0
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (364) gives:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6972) all_12_16 = e2
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (6972) imply:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6973) all_4_17 = e2
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6973) implies:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6974) all_4_17 = e2
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (50), (6974) imply:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6975) op(all_4_16, e2) = e4
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (361) gives:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6976) all_12_20 = e3
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (6976) imply:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6977) all_4_16 = e3
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6975), (6977) imply:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6978) op(e3, e2) = e4
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (6388), (6978), (function-axioms) are
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #689.
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6979) ~ (all_12_20 = e3)
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (657), (6979) imply:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6980) ~ (all_4_16 = e3)
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6404) gives:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6981) all_8_20 = e3
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (572), (6981) imply:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6982) all_4_16 = e3
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6980), (6982) imply:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6983) $false
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6983) is inconsistent.
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6984) all_8_20 = e2 | all_8_20 = e1 | all_8_20 = e0
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6984) gives:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6985) all_8_20 = e2
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (572), (6985) imply:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6986) all_4_16 = e2
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6887), (6986) imply:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6987) $false
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6987) is inconsistent.
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6988) all_8_20 = e1 | all_8_20 = e0
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6988) gives:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6989) all_8_20 = e1
% 178.55/26.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (572), (6989) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6990) all_4_16 = e1
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6975), (6990) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6991) op(e1, e2) = e4
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (6390), (6991), (function-axioms) are
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #693.
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6992) all_8_20 = e0
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (572), (6992) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6993) all_4_16 = e0
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (820), (6993) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6994) $false
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6994) is inconsistent.
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6995) ~ (all_12_16 = e2)
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (659), (6995) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6996) ~ (all_4_17 = e2)
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6435) gives:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6997) all_8_4 = e3
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (603), (6997) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6998) all_4_17 = e3
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6998) implies:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6999) all_4_17 = e3
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6426), (6999) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7000) all_10_9 = e3
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (727), (6999) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7001) ~ (all_4_5 = e3)
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (746), (6999) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7002) ~ (all_4_10 = e3)
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (758), (6999) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7003) ~ (all_4_21 = e3)
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7003) implies:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7004) ~ (all_4_21 = e3)
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (759), (6999) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7005) ~ (all_4_23 = e3)
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7005) implies:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7006) ~ (all_4_23 = e3)
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6416), (6999) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7007) ~ (e4 = e3)
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (50), (6999) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7008) op(all_4_16, e3) = e4
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (49), (6999) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7009) op(e3, all_4_16) = e0
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (787), (6999) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7010) op(e3, e0) = all_10_4
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_10_4,
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e3, simplifying with (6424), (7010) gives:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7011) all_10_4 = e4
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (359) gives:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7012) all_12_20 = e1
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (7012) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7013) all_4_16 = e1
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7013) implies:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7014) all_4_16 = e1
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (677), (7014) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7015) ~ (all_4_1 = e1)
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (693), (7014) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7016) ~ (all_4_18 = e1)
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7016) implies:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7017) ~ (all_4_18 = e1)
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (771), (7014) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7018) op(e1, e4) = all_10_20
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7008), (7014) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7019) op(e1, e3) = e4
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7009), (7014) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7020) op(e3, e1) = e0
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_11, e4,
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (25), (7019) gives:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7021) all_4_11 = e4
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_9,
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_20, e4, e1, simplifying with (26), (7018)
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7022) all_10_20 = all_4_9
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_12, e0,
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (33), (7020) gives:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7023) all_4_12 = e0
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (472), (7023) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7024) all_10_66 = e0
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (7021) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7025) all_10_58 = e4
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (663), (7023) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7026) all_12_10 = e0
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (680), (7023) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7027) ~ (all_4_1 = e0)
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (710), (7021) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7028) ~ (all_4_6 = e4)
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (742), (7023) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7029) ~ (all_4_10 = e0)
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (7023) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7030) ~ (all_4_15 = e0)
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7030) implies:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7031) ~ (all_4_15 = e0)
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (749), (7023) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7032) ~ (all_4_22 = e0)
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (775), (7021) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7033) op(e4, e3) = all_10_16
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (54), (7021), (7023) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7034) op(e0, e4) = e1
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (783), (7023) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7035) op(e0, e1) = all_10_8
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6963) gives:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7036) all_12_7 = e4
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (462), (7036) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7037) all_4_6 = e4
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7028), (7037) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7038) $false
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7038) is inconsistent.
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7039) all_12_8 = e4 | all_12_11 = e4 | all_12_18 = e4
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7039) gives:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7040) all_12_8 = e4
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (664), (6389), (7040) are inconsistent by
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #681.
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7041) all_12_11 = e4 | all_12_18 = e4
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7041) gives:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7042) all_12_11 = e4
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (454), (7042) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7043) all_4_14 = e4
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7043) implies:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7044) all_4_14 = e4
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (532), (7044) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7045) all_10_67 = e4
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (751), (7044) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7046) ~ (all_4_15 = e4)
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7046) implies:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7047) ~ (all_4_15 = e4)
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (53), (7044) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7048) op(all_4_13, e4) = e2
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (52), (7044) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7049) op(e4, all_4_13) = e1
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (784), (7044) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7050) op(e4, e1) = all_10_13
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (805), (7044) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7051) op(e2, e4) = all_10_38
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6952) gives:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7052) all_10_66 = e3
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7024), (7052) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7053) e3 = e0
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (7053) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7054) $false
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7054) is inconsistent.
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7055) ~ (all_10_66 = e3)
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7056) all_10_67 = e2 | all_10_68 = e1 | all_10_69 = e0
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7024), (7055) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7057) ~ (e3 = e0)
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7056) gives:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7058) all_10_67 = e2
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (7045), (7058) are inconsistent by sub-proof
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #493.
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7059) all_10_68 = e1 | all_10_69 = e0
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7059) gives:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7060) all_10_68 = e1
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (7060) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7061) all_4_15 = e1
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7061) implies:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7062) all_4_15 = e1
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (660), (7062) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7063) all_12_15 = e1
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (691), (7062) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7064) ~ (all_4_9 = e1)
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (7062) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7065) ~ (all_4_10 = e1)
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (738), (7062) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7066) ~ (all_4_13 = e1)
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (755), (7062) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7067) ~ (all_4_23 = e1)
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7067) implies:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7068) ~ (all_4_23 = e1)
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7047), (7062) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7069) ~ (e4 = e1)
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (785), (7062) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7070) op(e1, e1) = all_10_18
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23), (7062) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7071) op(e1, e1) = e1
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (375) gives:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7072) all_12_9 = e3
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (494), (7002), (7072) are inconsistent by
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #338.
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7073) ~ (all_12_9 = e3)
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7074) all_12_10 = e3 | all_12_11 = e3 | all_12_15 = e3 |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_23 = e3
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7074) gives:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7075) all_12_10 = e3
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7026), (7075) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7076) e3 = e0
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (7076) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7077) $false
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7077) is inconsistent.
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7078) all_12_11 = e3 | all_12_15 = e3 | all_12_23 = e3
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6893) gives:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7079) all_12_17 = e1
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6412), (7079) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7080) e4 = e1
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (7080) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7081) $false
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7081) is inconsistent.
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7082) all_12_18 = e1 | all_12_19 = e1 | all_12_24 = e1
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7082) gives:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7083) all_12_18 = e1
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (658), (7083) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7084) all_4_21 = e1
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7084) implies:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7085) all_4_21 = e1
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (687), (7085) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7086) ~ (all_4_4 = e1)
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7004), (7085) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7087) ~ (e3 = e1)
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (789), (7085) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7088) op(e1, e0) = all_10_14
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (806), (7085) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7089) op(e2, e1) = all_10_39
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6429) gives:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7090) all_8_19 = e3
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (551), (7006), (7090) are inconsistent by
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #668.
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7091) ~ (all_8_19 = e3)
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7092) all_8_19 = e2 | all_8_19 = e1 | all_8_19 = e0
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7078) gives:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7093) all_12_11 = e3
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (7042), (7093) are inconsistent by sub-proof
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #469.
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7094) all_12_15 = e3 | all_12_23 = e3
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6969) gives:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7095) all_8_3 = e3
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (594), (7002), (7095) are inconsistent by
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #735.
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7096) all_8_3 = e2 | all_8_3 = e1 | all_8_3 = e0
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7092) gives:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7097) all_8_19 = e2
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (551), (7097) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7098) all_4_23 = e2
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7098) implies:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7099) all_4_23 = e2
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (44), (7099) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7100) op(all_4_22, e2) = e1
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (790), (7099) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7101) op(e2, e0) = all_10_19
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7094) gives:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7102) all_12_15 = e3
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7063), (7102) are inconsistent by sub-proof
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #419.
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7103) all_12_23 = e3
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (414), (7103) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7104) all_4_22 = e3
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7104) implies:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7105) all_4_22 = e3
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (720), (7105) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7106) ~ (all_4_18 = e3)
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7100), (7105) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7107) op(e3, e2) = e1
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (786), (7105) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7108) op(e3, e1) = all_10_23
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (815), (7105) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7109) op(e0, e3) = all_10_48
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7096) gives:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7110) all_8_3 = e2
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (594), (7110) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7111) all_4_10 = e2
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7111) implies:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7112) all_4_10 = e2
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (7112) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7113) op(all_4_9, e2) = e4
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (56), (7112) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7114) op(e2, all_4_9) = e1
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (782), (7112) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7115) op(e2, e1) = all_10_3
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (38), (7112) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7116) op(e4, e1) = e2
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6886) gives:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7117) all_12_21 = e2
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (656), (7117) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7118) all_4_18 = e2
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7118) implies:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7119) all_4_18 = e2
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (700), (7119) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7120) ~ (all_4_2 = e2)
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (711), (7119) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7121) ~ (all_4_6 = e2)
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (776), (7119) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7122) op(e2, e3) = all_10_21
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (813), (7119) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7123) op(e0, e2) = all_10_46
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6957) gives:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7124) all_10_56 = e3
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (514), (7124) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7125) all_4_3 = e3
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (482), (7125) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7126) all_12_3 = e3
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (678), (7125) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7127) ~ (all_4_1 = e3)
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (697), (7125) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7128) ~ (all_4_2 = e3)
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (704), (7125) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7129) ~ (all_4_6 = e3)
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7129) implies:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7130) ~ (all_4_6 = e3)
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (773), (7125) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7131) op(e3, e3) = all_10_6
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (35), (7125) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7132) op(e3, e3) = e3
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7133) all_8_11 = e4
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (578), (7028), (7133) are inconsistent by
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #562.
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7134) all_8_11 = e3 | all_8_11 = e2 | all_8_11 = e1 |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_11 = e0
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (393) gives:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7135) all_12_1 = e1
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (7135) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7136) all_4_2 = e1
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (701), (7136) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7137) ~ (all_4_5 = e1)
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7137) implies:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7138) ~ (all_4_5 = e1)
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (698), (7136) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7139) ~ (all_4_6 = e1)
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7139) implies:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7140) ~ (all_4_6 = e1)
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (65), (7136) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7141) op(all_4_1, e1) = e4
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (64), (7136) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7142) op(e1, all_4_1) = e3
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (772), (7136) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7143) op(e1, e3) = all_10_1
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (793), (7136) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7144) op(e4, e1) = all_10_26
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6960) gives:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7145) all_10_57 = e3
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (523), (7145) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7146) all_4_6 = e3
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7130), (7146) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7147) $false
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7147) is inconsistent.
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7148) ~ (all_10_57 = e3)
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7149) all_10_62 = e2 | all_10_67 = e1 | all_10_72 = e0
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7149) gives:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7150) all_10_62 = e2
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (455), (7150) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7151) all_4_8 = e2
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (723), (7151) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7152) ~ (all_4_5 = e2)
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (733), (7151) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7153) ~ (all_4_13 = e2)
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7153) implies:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7154) ~ (all_4_13 = e2)
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (779), (7151) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7155) op(e2, e2) = all_10_12
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (29), (7151) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7156) op(e2, e2) = e2
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7134) gives:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7157) all_8_11 = e3
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (578), (7130), (7157) are inconsistent by
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #558.
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7158) all_8_11 = e2 | all_8_11 = e1 | all_8_11 = e0
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (389) gives:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7159) all_12_2 = e2
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (7159) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7160) all_4_1 = e2
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7160) implies:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7161) all_4_1 = e2
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (675), (7161) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7162) ~ (all_4_4 = e2)
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7162) implies:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7163) ~ (all_4_4 = e2)
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (676), (7161) imply:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7164) ~ (all_4_9 = e2)
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7164) implies:
% 178.55/26.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7165) ~ (all_4_9 = e2)
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (768), (7161) imply:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7166) op(e2, e4) = all_10_5
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7141), (7161) imply:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7167) op(e2, e1) = e4
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (388) gives:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7168) all_12_2 = e1
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7159), (7168) are inconsistent by sub-proof
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #337.
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7169) all_12_3 = e1 | all_12_5 = e1 | all_12_10 = e1 |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_17 = e1
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6452) gives:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7170) all_8_2 = e3
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (7001), (7170) are inconsistent by
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #753.
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7171) all_8_2 = e2 | all_8_2 = e1 | all_8_2 = e0
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7171) gives:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7172) all_8_2 = e2
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (7152), (7172) are inconsistent by
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #752.
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7173) all_8_2 = e1 | all_8_2 = e0
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7158) gives:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7174) all_8_11 = e2
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (578), (7121), (7174) are inconsistent by
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #557.
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7175) all_8_11 = e1 | all_8_11 = e0
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (380) gives:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7176) all_12_6 = e3
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (7176) imply:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7177) all_4_4 = e3
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7177) implies:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7178) all_4_4 = e3
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (682), (7178) imply:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7179) ~ (all_4_9 = e3)
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7179) implies:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7180) ~ (all_4_9 = e3)
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (769), (7178) imply:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7181) op(e3, e4) = all_10_10
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (61), (7178) imply:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7182) op(all_4_5, e3) = e2
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (31), (7178) imply:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7183) op(e2, e4) = e3
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7169) gives:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7184) all_12_3 = e1
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7126), (7184) imply:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7185) e3 = e1
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (7185) imply:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7186) $false
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7186) is inconsistent.
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7187) all_12_5 = e1 | all_12_10 = e1 | all_12_17 = e1
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7187) gives:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7188) all_12_5 = e1
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (7188) imply:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7189) all_4_7 = e1
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7189) implies:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7190) all_4_7 = e1
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (729), (7190) imply:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7191) ~ (all_4_13 = e1)
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (60), (7190) imply:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7192) op(all_4_6, e1) = e3
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (59), (7190) imply:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7193) op(e1, all_4_6) = e2
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (778), (7190) imply:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7194) op(e1, e2) = all_10_7
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (799), (7190) imply:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7195) op(e3, e1) = all_10_32
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6965) gives:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7196) all_8_15 = e3
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (570), (7180), (7196) are inconsistent by
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #732.
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7197) all_8_15 = e2 | all_8_15 = e1 | all_8_15 = e0
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7197) gives:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7198) all_8_15 = e2
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (570), (7165), (7198) are inconsistent by
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #731.
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7199) all_8_15 = e1 | all_8_15 = e0
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7173) gives:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7200) all_8_2 = e1
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (7138), (7200) are inconsistent by
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #751.
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7201) all_8_2 = e0
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (583), (7201) imply:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7202) all_4_5 = e0
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7202) implies:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7203) all_4_5 = e0
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6399), (7203) imply:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7204) all_10_22 = e0
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7182), (7203) imply:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7205) op(e0, e3) = e2
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (777), (7203) imply:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7206) op(e0, e2) = all_10_2
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (367) gives:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7207) all_12_12 = e0
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (7207) imply:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7208) all_4_9 = e0
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7208) implies:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7209) all_4_9 = e0
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7022), (7209) imply:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7210) all_10_20 = e0
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (690), (7209) imply:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7211) ~ (all_4_13 = e0)
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7211) implies:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7212) ~ (all_4_13 = e0)
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (770), (7209) imply:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7213) op(e0, e4) = all_10_15
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7114), (7209) imply:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7214) op(e2, e0) = e1
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6457) gives:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7215) all_8_17 = e3
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (590), (7215) imply:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7216) all_4_13 = e3
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7216) implies:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7217) all_4_13 = e3
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7048), (7217) imply:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7218) op(e3, e4) = e2
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (780), (7217) imply:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7219) op(e3, e2) = all_10_17
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7049), (7217) imply:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7220) op(e4, e3) = e1
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (809), (7217) imply:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7221) op(e1, e3) = all_10_42
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (24), (7217) imply:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7222) op(e1, e2) = e3
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7175) gives:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7223) all_8_11 = e1
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (578), (7140), (7223) are inconsistent by
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #556.
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7224) all_8_11 = e0
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (578), (7224) imply:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7225) all_4_6 = e0
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7225) implies:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7226) all_4_6 = e0
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (774), (7226) imply:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7227) op(e0, e3) = all_10_11
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7192), (7226) imply:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7228) op(e0, e1) = e3
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (30), (7226) imply:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7229) op(e2, e3) = e0
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7193), (7226) imply:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7230) op(e1, e0) = e2
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_10_8,
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, simplifying with (7035), (7228) gives:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7231) all_10_8 = e3
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_10_2,
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (6397), (7206) gives:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7232) all_10_2 = e4
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_46,
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_2, e2, e0, simplifying with (7123), (7206)
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7233) all_10_2 = all_10_46
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_48,
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_11, e3, e0, simplifying with (7109), (7227)
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7234) all_10_11 = all_10_48
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_11, e3, e0, simplifying with (7205), (7227)
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7235) all_10_11 = e2
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_15, e4, e0, simplifying with (7034), (7213)
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7236) all_10_15 = e1
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_14, e0, e1, simplifying with (7088), (7230)
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7237) all_10_14 = e2
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_18, e1, e1, simplifying with (7070), (7071)
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7238) all_10_18 = e1
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_10_7,
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (7194), (7222) gives:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7239) all_10_7 = e3
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_10_1,
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (7019), (7143) gives:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7240) all_10_1 = e4
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_42,
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_1, e3, e1, simplifying with (7143), (7221)
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7241) all_10_1 = all_10_42
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_19, e0, e2, simplifying with (7101), (7214)
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7242) all_10_19 = e1
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_39,
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_3, e1, e2, simplifying with (7089), (7115)
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7243) all_10_3 = all_10_39
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_10_3,
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (7115), (7167) gives:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7244) all_10_3 = e4
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_12, e2, e2, simplifying with (7155), (7156)
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7245) all_10_12 = e2
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_21, e3, e2, simplifying with (7122), (7229)
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7246) all_10_21 = e0
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_38,
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_5, e4, e2, simplifying with (7051), (7166)
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7247) all_10_5 = all_10_38
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_10_5,
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e2, simplifying with (7166), (7183) gives:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7248) all_10_5 = e3
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_23, e1, e3, simplifying with (7020), (7108)
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7249) all_10_23 = e0
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_32,
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_23, e1, e3, simplifying with (7108), (7195)
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7250) all_10_23 = all_10_32
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_17, e2, e3, simplifying with (7107), (7219)
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7251) all_10_17 = e1
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_10_6,
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (7131), (7132) gives:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7252) all_10_6 = e3
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_10, e4, e3, simplifying with (7181), (7218)
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7253) all_10_10 = e2
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_26,
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_13, e1, e4, simplifying with (7050), (7144)
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7254) all_10_13 = all_10_26
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_13, e1, e4, simplifying with (7050), (7116)
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7255) all_10_13 = e2
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_16, e3, e4, simplifying with (7033), (7220)
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7256) all_10_16 = e1
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7240), (7241) imply:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7257) all_10_42 = e4
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7232), (7233) imply:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7258) all_10_46 = e4
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7243), (7244) imply:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7259) all_10_39 = e4
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7247), (7248) imply:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7260) all_10_38 = e3
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7234), (7235) imply:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7261) all_10_48 = e2
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7254), (7255) imply:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7262) all_10_26 = e2
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7249), (7250) imply:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7263) all_10_32 = e0
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (331) gives:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7264) ~ (all_10_0 = e4)
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6949), (7264) imply:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7265) $false
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7265) is inconsistent.
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7266) ~ (all_10_1 = e4) | ~ (all_10_2 = e4) | ~
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_3 = e4) | ~ (all_10_4 = e4) | ~
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_5 = e3) | ~ (all_10_6 = e3) | ~
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e3) | ~ (all_10_8 = e3) | ~
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_9 = e3) | ~ (all_10_10 = e2) | ~
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e2) | ~ (all_10_12 = e2) | ~
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e2) | ~ (all_10_14 = e2) | ~
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e1) | ~ (all_10_16 = e1) | ~
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_17 = e1) | ~ (all_10_18 = e1) | ~
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_19 = e1) | ~ (all_10_20 = e0) | ~
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_21 = e0) | ~ (all_10_22 = e0) | ~
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e0) | ~ (all_10_24 = e0)
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (832), (7000), (7011), (7204), (7210), (7231),
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7232), (7235), (7236), (7237), (7238), (7239),
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7240), (7242), (7244), (7245), (7246), (7248),
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7249), (7251), (7252), (7253), (7255), (7256),
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7266) are inconsistent by sub-proof #667.
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7267) all_8_17 = e2 | all_8_17 = e1 | all_8_17 = e0
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (590), (7066), (7154), (7212), (7267) are
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #547.
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7268) ~ (all_12_12 = e0)
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (446), (7268) imply:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7269) ~ (all_4_9 = e0)
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (570), (7064), (7199), (7269) are inconsistent by
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #729.
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7270) ~ (all_12_5 = e1)
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (7270) imply:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7271) ~ (all_4_7 = e1)
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (7107), (7271), (function-axioms) are
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #350.
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7272) ~ (all_12_6 = e3)
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (665), (7272) imply:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7273) ~ (all_4_4 = e3)
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7173) gives:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7274) all_8_2 = e1
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (7138), (7274) are inconsistent by
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #751.
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7275) all_8_2 = e0
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (583), (7275) imply:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7276) all_4_5 = e0
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7276) implies:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7277) all_4_5 = e0
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (724), (7277) imply:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7278) ~ (all_4_13 = e0)
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7278) implies:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7279) ~ (all_4_13 = e0)
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (29), (367), (446), (568), (570), (590),
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (682), (690), (6457), (6965), (6971), (7064),
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7066), (7086), (7113), (7114), (7154), (7163),
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7273), (7279), (function-axioms) are inconsistent
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #546.
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7280) ~ (all_12_2 = e2)
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (486), (7280) imply:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7281) ~ (all_4_1 = e2)
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (566), (6443), (7006), (7015), (7127),
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7142), (7281), (function-axioms) are inconsistent
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #334.
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7282) all_10_67 = e1 | all_10_72 = e0
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (448), (825), (7045), (7282) are
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #461.
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7283) ~ (all_12_1 = e1)
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (666), (7283) imply:
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7284) ~ (all_4_2 = e1)
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (27), (65), (566), (574), (6418), (6443), (6967),
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7015), (7027), (7120), (7127), (7128), (7284),
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #486.
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7285) all_10_57 = e2 | all_10_58 = e1 | all_10_59 = e0
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (420), (523), (822), (7025), (7121), (7285)
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #412.
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7286) ~ (all_12_21 = e2)
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (656), (7286) imply:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7287) ~ (all_4_18 = e2)
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (582), (822), (5083), (7017), (7106), (7287) are
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #347.
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7288) all_8_3 = e1 | all_8_3 = e0
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (594), (7029), (7065), (7288) are inconsistent by
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #741.
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7289) all_8_19 = e1 | all_8_19 = e0
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (551), (827), (7068), (7289) are inconsistent by
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #721.
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7290) all_12_19 = e1 | all_12_24 = e1
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (430), (817), (7068), (7290) are inconsistent
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #432.
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7291) all_10_69 = e0
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (560), (826), (7291) are inconsistent by sub-proof
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #430.
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7292) all_12_18 = e4
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (658), (6418), (7292) are inconsistent by
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #773.
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7293) ~ (all_12_20 = e1)
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (657), (7293) imply:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7294) ~ (all_4_16 = e1)
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6404) gives:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7295) all_8_20 = e3
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (572), (7295) imply:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7296) all_4_16 = e3
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7008), (7296) imply:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7297) op(e3, e3) = e4
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (6414), (7297), (function-axioms) are
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #704.
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7298) all_8_20 = e2 | all_8_20 = e1 | all_8_20 = e0
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (572), (820), (6887), (7294), (7298) are
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #615.
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7299) all_8_4 = e2 | all_8_4 = e1 | all_8_4 = e0
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (603), (821), (6894), (6996), (7299) are
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #368.
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | (7300) all_12_1 = e4 | all_12_4 = e4 | all_12_9 = e4 |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | all_12_16 = e4
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7300) gives:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | (7301) all_12_1 = e4
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (7301) imply:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | (7302) all_4_2 = e4
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (500), (7302) imply:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | (7303) all_10_55 = e4
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (671), (7302) imply:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | (7304) ~ (all_4_0 = e4)
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (697), (7302) imply:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | (7305) ~ (all_4_3 = e4)
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (701), (7302) imply:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | (7306) ~ (all_4_5 = e4)
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (699), (7302) imply:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | (7307) ~ (all_4_11 = e4)
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7307) implies:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | (7308) ~ (all_4_11 = e4)
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (793), (7302) imply:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | (7309) op(e4, e4) = all_10_26
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_0,
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | all_10_26, e4, e4, simplifying with (41), (7309)
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | (7310) all_10_26 = all_4_0
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (328) gives:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | (7311) all_10_50 = e4
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (508), (7304), (7311) are inconsistent by
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #631.
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | (7312) ~ (all_10_50 = e4)
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | (7313) all_10_55 = e3 | all_10_60 = e2 | all_10_65 = e1 |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | all_10_70 = e0
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (405) gives:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (7314) all_12_0 = e4
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (7314) imply:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (7315) all_4_0 = e4
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7304), (7315) imply:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (7316) $false
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7316) is inconsistent.
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (7317) ~ (all_12_0 = e4)
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (7318) all_12_2 = e4 | all_12_6 = e4 | all_12_12 = e4 |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_20 = e4
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (329) gives:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7319) all_10_50 = e4
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (508), (7304), (7319) are inconsistent by
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #631.
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7320) all_10_51 = e3 | all_10_52 = e2 | all_10_53 = e1 |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_54 = e0
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (371) gives:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7321) all_12_12 = e4
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (7321) imply:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7322) all_4_9 = e4
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7322) implies:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7323) all_4_9 = e4
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (534), (7323) imply:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7324) all_10_53 = e4
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (691), (7323) imply:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7325) ~ (all_4_15 = e4)
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7325) implies:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7326) ~ (all_4_15 = e4)
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6935) gives:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7327) all_12_10 = e4
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (663), (6415), (7327) are inconsistent by
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #628.
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7328) all_12_11 = e4 | all_12_15 = e4 | all_12_23 = e4
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7328) gives:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7329) all_12_11 = e4
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (454), (7329) imply:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7330) all_4_14 = e4
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7330) implies:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7331) all_4_14 = e4
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (532), (7331) imply:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7332) all_10_67 = e4
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (7331) imply:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7333) ~ (all_4_4 = e4)
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (326) gives:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7334) all_10_52 = e4
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (463), (7333), (7334) are inconsistent by
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #778.
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7335) all_10_57 = e3 | all_10_62 = e2 | all_10_67 = e1 |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_72 = e0
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7336) all_8_0 = e4
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (564), (7304), (7336) are inconsistent by
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #706.
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7337) ~ (all_8_0 = e4)
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7338) all_8_0 = e3 | all_8_0 = e2 | all_8_0 = e1 |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_0 = e0
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (361) gives:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7339) all_12_20 = e3
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (7339) imply:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7340) all_4_16 = e3
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7340) implies:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7341) all_4_16 = e3
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (424), (7341) imply:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7342) all_10_54 = e3
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (677), (7341) imply:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7343) ~ (all_4_1 = e3)
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7320) gives:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7344) all_10_51 = e3
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (512), (7343), (7344) are inconsistent by
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #623.
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7345) all_10_52 = e2 | all_10_53 = e1 | all_10_54 = e0
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7345) gives:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7346) all_10_52 = e2
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (463), (7346) imply:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7347) all_4_4 = e2
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7347) implies:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7348) all_4_4 = e2
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (7348) imply:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7349) all_12_6 = e2
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (7348) imply:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7350) ~ (all_4_8 = e2)
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7350) implies:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7351) ~ (all_4_8 = e2)
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (687), (7348) imply:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7352) ~ (all_4_21 = e2)
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7352) implies:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7353) ~ (all_4_21 = e2)
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7335) gives:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7354) all_10_57 = e3
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (523), (7354) imply:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7355) all_4_6 = e3
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (462), (7355) imply:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7356) all_12_7 = e3
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (712), (7355) imply:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7357) ~ (all_4_8 = e3)
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7357) implies:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7358) ~ (all_4_8 = e3)
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (7355) imply:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7359) ~ (all_4_21 = e3)
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7359) implies:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7360) ~ (all_4_21 = e3)
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (377) gives:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7361) all_12_6 = e0
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7349), (7361) imply:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7362) e2 = e0
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7362) implies:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7363) e2 = e0
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (7363) imply:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7364) $false
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7364) is inconsistent.
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7365) all_12_7 = e0 | all_12_8 = e0 | all_12_11 = e0 |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_18 = e0
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7365) gives:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7366) all_12_7 = e0
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7356), (7366) imply:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7367) e3 = e0
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (7367) imply:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7368) $false
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7368) is inconsistent.
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7369) all_12_8 = e0 | all_12_11 = e0 | all_12_18 = e0
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7369) gives:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7370) all_12_8 = e0
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (664), (7370) imply:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7371) all_4_8 = e0
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7371) implies:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7372) all_4_8 = e0
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7351), (7372) imply:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7373) ~ (e2 = e0)
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (58), (7372) imply:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7374) op(e0, e0) = e2
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e2, e0,
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (830), (7374) gives:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7375) e2 = e0
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (7375) imply:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7376) $false
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7376) is inconsistent.
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7377) ~ (all_12_8 = e0)
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (664), (7377) imply:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7378) ~ (all_4_8 = e0)
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6432) gives:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7379) all_8_14 = e3
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (607), (7360), (7379) are inconsistent by
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #678.
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7380) all_8_14 = e2 | all_8_14 = e1 | all_8_14 = e0
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7380) gives:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7381) all_8_14 = e2
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (607), (7353), (7381) are inconsistent by
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #674.
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7382) all_8_14 = e1 | all_8_14 = e0
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6449) gives:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7383) all_8_12 = e3
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (588), (7358), (7383) are inconsistent by
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #333.
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7384) all_8_12 = e2 | all_8_12 = e1 | all_8_12 = e0
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7382) gives:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7385) all_8_14 = e1
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (607), (7385) imply:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7386) all_4_21 = e1
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7386) implies:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7387) all_4_21 = e1
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (736), (7387) imply:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7388) ~ (all_4_8 = e1)
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (588), (7351), (7378), (7384), (7388) are
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #329.
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7389) all_8_14 = e0
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (607), (825), (7389) are inconsistent by sub-proof
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #665.
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7390) all_10_62 = e2 | all_10_67 = e1 | all_10_72 = e0
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (448), (455), (825), (7332), (7351), (7390)
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #452.
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7391) all_10_53 = e1 | all_10_54 = e0
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12), (7324), (7342), (7391) are inconsistent
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #504.
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7392) ~ (all_12_20 = e3)
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (657), (7392) imply:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7393) ~ (all_4_16 = e3)
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6404) gives:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7394) all_8_20 = e3
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (572), (7393), (7394) are inconsistent by
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #579.
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7395) all_8_20 = e2 | all_8_20 = e1 | all_8_20 = e0
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (35), (66), (401), (404), (506), (564),
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (572), (670), (820), (830), (6389), (6414),
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6887), (7304), (7338), (7395), (function-axioms)
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #589.
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7396) all_12_15 = e4 | all_12_23 = e4
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (414), (660), (2875), (7326), (7396) are
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #459.
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7397) ~ (all_12_12 = e4)
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7398) all_12_13 = e4 | all_12_14 = e4 | all_12_15 = e4 |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_19 = e4
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (446), (7397) imply:
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7399) ~ (all_4_9 = e4)
% 178.55/26.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11), (14), (39), (41), (51), (62), (321),
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (326), (381), (430), (431), (446), (448), (454),
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (455), (462), (463), (472), (486), (488), (514),
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (516), (518), (523), (528), (532), (560), (657),
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (658), (660), (661), (662), (664), (665), (668),
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (673), (684), (685), (686), (687), (704), (722),
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (723), (743), (748), (769), (794), (821), (825),
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (826), (6387), (6390), (6391), (6411), (6413),
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6420), (6440), (7303), (7308), (7313), (7318),
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7398), (7399), (function-axioms) are inconsistent
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #343.
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | (7400) all_12_4 = e4 | all_12_9 = e4 | all_12_16 = e4
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (494), (498), (659), (6387), (6416), (6936),
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | (7400) are inconsistent by sub-proof #328.
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.75 | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.75 | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | End of split
% 178.55/26.75 | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | End of split
% 178.55/26.75 | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | End of split
% 178.55/26.75 | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | End of split
% 178.55/26.75 | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | End of split
% 178.55/26.75 | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | End of split
% 178.55/26.75 | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | End of split
% 178.55/26.75 | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | End of split
% 178.55/26.75 | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | Case 2:
% 178.55/26.75 | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | (7401) ~ (all_8_9 = e4)
% 178.55/26.75 | | | | | | | | | | (7402) all_8_9 = e3 | all_8_9 = e2 | all_8_9 = e1 |
% 178.55/26.75 | | | | | | | | | | all_8_9 = e0
% 178.55/26.75 | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | REDUCE: (606), (7401) imply:
% 178.55/26.75 | | | | | | | | | | (7403) ~ (all_4_19 = e4)
% 178.55/26.75 | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | BETA: splitting (241) gives:
% 178.55/26.75 | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | Case 1:
% 178.55/26.75 | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | (7404) all_8_2 = e4
% 178.55/26.75 | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | REF_CLOSE: (583), (6387), (7404) are inconsistent by
% 178.55/26.75 | | | | | | | | | | | sub-proof #777.
% 178.55/26.75 | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | Case 2:
% 178.55/26.75 | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | (7405) ~ (all_8_2 = e4)
% 178.55/26.75 | | | | | | | | | | | (7406) all_8_2 = e3 | all_8_2 = e2 | all_8_2 = e1 |
% 178.55/26.75 | | | | | | | | | | | all_8_2 = e0
% 178.55/26.75 | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | BETA: splitting (224) gives:
% 178.55/26.75 | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | Case 1:
% 178.55/26.75 | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | (7407) all_8_19 = e4
% 178.55/26.75 | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | COMBINE_EQS: (551), (7407) imply:
% 178.55/26.75 | | | | | | | | | | | | (7408) all_4_23 = e4
% 178.55/26.75 | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | COMBINE_EQS: (654), (7408) imply:
% 178.55/26.75 | | | | | | | | | | | | (7409) all_10_73 = e4
% 178.55/26.75 | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | REDUCE: (692), (7408) imply:
% 178.55/26.75 | | | | | | | | | | | | (7410) ~ (all_4_9 = e4)
% 178.55/26.75 | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | REDUCE: (718), (7408) imply:
% 178.55/26.75 | | | | | | | | | | | | (7411) ~ (all_4_11 = e4)
% 178.55/26.75 | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | REDUCE: (755), (7408) imply:
% 178.55/26.75 | | | | | | | | | | | | (7412) ~ (all_4_15 = e4)
% 178.55/26.75 | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | REDUCE: (759), (7408) imply:
% 178.55/26.75 | | | | | | | | | | | | (7413) ~ (all_4_17 = e4)
% 178.55/26.75 | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | REDUCE: (764), (7408) imply:
% 178.55/26.75 | | | | | | | | | | | | (7414) ~ (all_4_21 = e4)
% 178.55/26.75 | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | REDUCE: (44), (7408) imply:
% 178.55/26.75 | | | | | | | | | | | | (7415) op(all_4_22, e4) = e1
% 178.55/26.75 | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | REDUCE: (790), (7408) imply:
% 178.55/26.75 | | | | | | | | | | | | (7416) op(e4, e0) = all_10_19
% 178.55/26.75 | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | REDUCE: (811), (7408) imply:
% 178.55/26.75 | | | | | | | | | | | | (7417) op(e1, e4) = all_10_44
% 178.55/26.75 | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | REDUCE: (22), (7408) imply:
% 178.55/26.75 | | | | | | | | | | | | (7418) op(e1, e0) = e4
% 178.55/26.75 | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_9,
% 178.55/26.75 | | | | | | | | | | | | all_10_44, e4, e1, simplifying with (26), (7417)
% 178.55/26.75 | | | | | | | | | | | | gives:
% 178.55/26.75 | | | | | | | | | | | | (7419) all_10_44 = all_4_9
% 178.55/26.75 | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_17,
% 178.55/26.75 | | | | | | | | | | | | all_10_19, e0, e4, simplifying with (37), (7416)
% 178.55/26.75 | | | | | | | | | | | | gives:
% 178.55/26.75 | | | | | | | | | | | | (7420) all_10_19 = all_4_17
% 178.55/26.75 | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | BETA: splitting (229) gives:
% 178.55/26.75 | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | Case 1:
% 178.55/26.75 | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | (7421) all_8_14 = e4
% 178.55/26.75 | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | COMBINE_EQS: (607), (7421) imply:
% 178.55/26.75 | | | | | | | | | | | | | (7422) all_4_21 = e4
% 178.55/26.75 | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | REDUCE: (7414), (7422) imply:
% 178.55/26.75 | | | | | | | | | | | | | (7423) $false
% 178.55/26.75 | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | CLOSE: (7423) is inconsistent.
% 178.55/26.75 | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | Case 2:
% 178.55/26.75 | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | (7424) ~ (all_8_14 = e4)
% 178.55/26.75 | | | | | | | | | | | | | (7425) all_8_14 = e3 | all_8_14 = e2 | all_8_14 = e1 |
% 178.55/26.75 | | | | | | | | | | | | | all_8_14 = e0
% 178.55/26.75 | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | BETA: splitting (239) gives:
% 178.55/26.75 | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | Case 1:
% 178.55/26.75 | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | (7426) all_8_4 = e4
% 178.55/26.75 | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | REF_CLOSE: (603), (7413), (7426) are inconsistent by
% 178.55/26.75 | | | | | | | | | | | | | | sub-proof #787.
% 178.55/26.75 | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | Case 2:
% 178.55/26.75 | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | (7427) ~ (all_8_4 = e4)
% 178.55/26.75 | | | | | | | | | | | | | | (7428) all_8_4 = e3 | all_8_4 = e2 | all_8_4 = e1 |
% 178.55/26.75 | | | | | | | | | | | | | | all_8_4 = e0
% 178.55/26.75 | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | BETA: splitting (325) gives:
% 178.55/26.75 | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | Case 1:
% 178.55/26.75 | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | (7429) all_10_53 = e4
% 178.55/26.75 | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | COMBINE_EQS: (534), (7429) imply:
% 178.55/26.75 | | | | | | | | | | | | | | | (7430) all_4_9 = e4
% 178.55/26.75 | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | REDUCE: (7410), (7430) imply:
% 178.55/26.75 | | | | | | | | | | | | | | | (7431) $false
% 178.55/26.75 | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | CLOSE: (7431) is inconsistent.
% 178.55/26.75 | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | Case 2:
% 178.55/26.75 | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | (7432) ~ (all_10_53 = e4)
% 178.55/26.75 | | | | | | | | | | | | | | | (7433) all_10_58 = e3 | all_10_63 = e2 | all_10_68 = e1 |
% 178.55/26.75 | | | | | | | | | | | | | | | all_10_73 = e0
% 178.55/26.75 | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 178.55/26.75 | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | Case 1:
% 178.55/26.75 | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | (7434) all_8_7 = e4
% 178.55/26.75 | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | REF_CLOSE: (586), (6388), (7434) are inconsistent by
% 178.55/26.75 | | | | | | | | | | | | | | | | sub-proof #783.
% 178.55/26.75 | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | Case 2:
% 178.55/26.75 | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | (7435) ~ (all_8_7 = e4)
% 178.55/26.75 | | | | | | | | | | | | | | | | (7436) all_8_7 = e3 | all_8_7 = e2 | all_8_7 = e1 |
% 178.55/26.75 | | | | | | | | | | | | | | | | all_8_7 = e0
% 178.55/26.75 | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 178.55/26.75 | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.75 | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | (7437) all_8_17 = e4
% 178.55/26.75 | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | COMBINE_EQS: (590), (7437) imply:
% 178.55/26.75 | | | | | | | | | | | | | | | | | (7438) all_4_13 = e4
% 178.55/26.75 | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | REDUCE: (6390), (7438) imply:
% 178.55/26.75 | | | | | | | | | | | | | | | | | (7439) $false
% 178.55/26.75 | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | CLOSE: (7439) is inconsistent.
% 178.55/26.75 | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.75 | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | (7440) ~ (all_8_17 = e4)
% 178.55/26.75 | | | | | | | | | | | | | | | | | (7441) all_8_17 = e3 | all_8_17 = e2 | all_8_17 = e1 |
% 178.55/26.75 | | | | | | | | | | | | | | | | | all_8_17 = e0
% 178.55/26.75 | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 178.55/26.75 | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.75 | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | (7442) all_8_16 = e4
% 178.55/26.75 | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (580), (7442) imply:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | (7443) all_4_11 = e4
% 178.55/26.75 | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | REDUCE: (7411), (7443) imply:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | (7444) $false
% 178.55/26.75 | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | CLOSE: (7444) is inconsistent.
% 178.55/26.75 | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.75 | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | (7445) ~ (all_8_16 = e4)
% 178.55/26.75 | | | | | | | | | | | | | | | | | | (7446) all_8_16 = e3 | all_8_16 = e2 | all_8_16 = e1 |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | all_8_16 = e0
% 178.55/26.75 | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 178.55/26.75 | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | (7447) all_8_15 = e4
% 178.55/26.75 | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (570), (7410), (7447) are inconsistent by
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | sub-proof #782.
% 178.55/26.75 | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | (7448) ~ (all_8_15 = e4)
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | (7449) all_8_15 = e3 | all_8_15 = e2 | all_8_15 = e1 |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | all_8_15 = e0
% 178.55/26.75 | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | BETA: splitting (361) gives:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | (7450) all_12_20 = e3
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (7450) imply:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | (7451) all_4_16 = e3
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | SIMP: (7451) implies:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | (7452) all_4_16 = e3
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (424), (7452) imply:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | (7453) all_10_54 = e3
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | REDUCE: (677), (7452) imply:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | (7454) ~ (all_4_1 = e3)
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | REDUCE: (688), (7452) imply:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | (7455) ~ (all_4_9 = e3)
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | REDUCE: (695), (7452) imply:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | (7456) ~ (all_4_22 = e3)
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | SIMP: (7456) implies:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | (7457) ~ (all_4_22 = e3)
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | REDUCE: (50), (7452) imply:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | (7458) op(e3, all_4_17) = e4
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | REDUCE: (771), (7452) imply:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | (7459) op(e3, e4) = all_10_20
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | REDUCE: (49), (7452) imply:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | (7460) op(all_4_17, e3) = e0
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_1,
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | all_10_20, e4, e3, simplifying with (36), (7459)
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | gives:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | (7461) all_10_20 = all_4_1
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | BETA: splitting (329) gives:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | (7462) all_10_50 = e4
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (508), (7462) imply:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | (7463) all_4_0 = e4
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | SIMP: (7463) implies:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | (7464) all_4_0 = e4
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (7464) imply:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | (7465) all_12_0 = e4
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | REDUCE: (667), (7464) imply:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | (7466) ~ (all_4_1 = e4)
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | SIMP: (7466) implies:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | (7467) ~ (all_4_1 = e4)
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | REDUCE: (671), (7464) imply:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | (7468) ~ (all_4_2 = e4)
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | SIMP: (7468) implies:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | (7469) ~ (all_4_2 = e4)
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | REDUCE: (668), (7464) imply:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | (7470) ~ (all_4_4 = e4)
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | SIMP: (7470) implies:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | (7471) ~ (all_4_4 = e4)
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | REDUCE: (672), (7464) imply:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | (7472) ~ (all_4_5 = e4)
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | REDUCE: (673), (7464) imply:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | (7473) ~ (all_4_10 = e4)
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | SIMP: (7473) implies:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | (7474) ~ (all_4_10 = e4)
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | REDUCE: (767), (7464) imply:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | (7475) op(e4, e4) = all_10_0
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | REDUCE: (792), (7464) imply:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | (7476) op(e4, e4) = all_10_25
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | REDUCE: (41), (7464) imply:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | (7477) op(e4, e4) = e4
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_25,
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | all_10_0, e4, e4, simplifying with (7475), (7476)
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | gives:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | (7478) all_10_0 = all_10_25
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_10_0,
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | e4, e4, simplifying with (7475), (7477) gives:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | (7479) all_10_0 = e4
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7478), (7479) imply:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | (7480) all_10_25 = e4
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | SIMP: (7480) implies:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | (7481) all_10_25 = e4
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | (7482) all_8_10 = e4
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (568), (7471), (7482) are inconsistent by
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | sub-proof #781.
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | (7483) ~ (all_8_10 = e4)
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | (7484) all_8_10 = e3 | all_8_10 = e2 | all_8_10 = e1 |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | all_8_10 = e0
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | (7485) all_8_5 = e4
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (566), (7485) imply:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | (7486) all_4_1 = e4
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7467), (7486) imply:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | (7487) $false
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7487) is inconsistent.
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | (7488) all_8_5 = e3 | all_8_5 = e2 | all_8_5 = e1 |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | all_8_5 = e0
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (321) gives:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | (7489) all_10_65 = e4
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (528), (7474), (7489) are inconsistent by
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #790.
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | (7490) ~ (all_10_65 = e4)
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | (7491) all_10_66 = e3 | all_10_67 = e2 | all_10_68 = e1 |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | all_10_69 = e0
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (360) gives:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | (7492) all_12_20 = e2
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (7450), (7492) are inconsistent by sub-proof
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | #515.
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | (7493) all_12_21 = e2 | all_12_22 = e2 | all_12_23 = e2 |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | all_12_24 = e2
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (381) gives:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | (7494) all_12_6 = e4
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (665), (7471), (7494) are inconsistent by
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #780.
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | (7495) all_12_7 = e4 | all_12_8 = e4 | all_12_11 = e4 |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_18 = e4
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (323) gives:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7496) all_10_55 = e4
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (500), (7469), (7496) are inconsistent by
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #415.
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7497) ~ (all_10_55 = e4)
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7498) all_10_56 = e3 | all_10_57 = e2 | all_10_58 = e1 |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_59 = e0
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7499) all_8_3 = e4
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (594), (7474), (7499) are inconsistent by
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #789.
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7500) all_8_3 = e3 | all_8_3 = e2 | all_8_3 = e1 |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_3 = e0
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7501) all_8_1 = e4
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (574), (7469), (7501) are inconsistent by
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #776.
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7502) all_8_1 = e3 | all_8_1 = e2 | all_8_1 = e1 |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_1 = e0
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (370) gives:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7503) all_12_12 = e3
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (7455), (7503) are inconsistent by
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #650.
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7504) ~ (all_12_12 = e3)
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7505) all_12_13 = e3 | all_12_14 = e3 | all_12_15 = e3 |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_19 = e3
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (364) gives:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7506) all_12_16 = e2
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (7506) imply:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7507) all_4_17 = e2
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7507) implies:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7508) all_4_17 = e2
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7458), (7508) imply:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7509) op(e3, e2) = e4
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (6388), (7509), (function-axioms) are
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #689.
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7510) ~ (all_12_16 = e2)
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (659), (7510) imply:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7511) ~ (all_4_17 = e2)
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (363) gives:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7512) all_12_16 = e1
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (7512) imply:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7513) all_4_17 = e1
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7513) implies:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7514) all_4_17 = e1
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7420), (7514) imply:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7515) all_10_19 = e1
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (703), (7514) imply:
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7516) ~ (all_4_2 = e1)
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (727), (7514) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7517) ~ (all_4_5 = e1)
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (757), (7514) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7518) ~ (all_4_19 = e1)
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7518) implies:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7519) ~ (all_4_19 = e1)
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (758), (7514) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7520) ~ (all_4_21 = e1)
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7520) implies:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7521) ~ (all_4_21 = e1)
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7460), (7514) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7522) op(e1, e3) = e0
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (787), (7514) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7523) op(e1, e0) = all_10_4
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7458), (7514) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7524) op(e3, e1) = e4
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_10_4,
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e1, simplifying with (7418), (7523) gives:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7525) all_10_4 = e4
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_11, e0,
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (25), (7522) gives:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7526) all_4_11 = e0
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_12, e4,
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (33), (7524) gives:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7527) all_4_12 = e4
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (472), (7527) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7528) all_10_66 = e4
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (7526) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7529) all_10_58 = e0
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (662), (7526) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7530) all_12_13 = e0
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (663), (7527) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7531) all_12_10 = e4
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (699), (7526) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7532) ~ (all_4_2 = e0)
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (710), (7526) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7533) ~ (all_4_6 = e0)
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (7526) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7534) ~ (all_4_13 = e0)
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7534) implies:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7535) ~ (all_4_13 = e0)
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (7526) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7536) ~ (all_4_18 = e0)
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (747), (7527) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7537) ~ (all_4_14 = e4)
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7537) implies:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7538) ~ (all_4_14 = e4)
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (750), (7527) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7539) ~ (all_4_19 = e4)
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (55), (7526), (7527) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7540) op(e0, e4) = e3
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (775), (7526) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7541) op(e0, e3) = all_10_16
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (783), (7527) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7542) op(e4, e1) = all_10_8
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7495) gives:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7543) all_12_7 = e4
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (462), (7543) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7544) all_4_6 = e4
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (523), (7544) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7545) all_10_57 = e4
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (7544) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7546) ~ (all_4_21 = e4)
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (60), (7544) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7547) op(e4, all_4_7) = e3
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (774), (7544) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7548) op(e4, e3) = all_10_11
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (59), (7544) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7549) op(all_4_7, e4) = e2
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7498) gives:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7550) all_10_56 = e3
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (514), (7550) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7551) all_4_3 = e3
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (697), (7551) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7552) ~ (all_4_2 = e3)
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (707), (7551) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7553) ~ (all_4_7 = e3)
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7553) implies:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7554) ~ (all_4_7 = e3)
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (706), (7551) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7555) ~ (all_4_18 = e3)
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7555) implies:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7556) ~ (all_4_18 = e3)
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (709), (7551) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7557) ~ (all_4_19 = e3)
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7557) implies:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7558) ~ (all_4_19 = e3)
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (773), (7551) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7559) op(e3, e3) = all_10_6
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (35), (7551) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7560) op(e3, e3) = e3
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7502) gives:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7561) all_8_1 = e3
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (574), (7552), (7561) are inconsistent by
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #747.
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7562) all_8_1 = e2 | all_8_1 = e1 | all_8_1 = e0
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7562) gives:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7563) all_8_1 = e2
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (574), (7563) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7564) all_4_2 = e2
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7564) implies:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7565) all_4_2 = e2
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (701), (7565) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7566) ~ (all_4_5 = e2)
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7566) implies:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7567) ~ (all_4_5 = e2)
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (700), (7565) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7568) ~ (all_4_18 = e2)
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7568) implies:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7569) ~ (all_4_18 = e2)
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (65), (7565) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7570) op(all_4_1, e2) = e4
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (64), (7565) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7571) op(e2, all_4_1) = e3
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (772), (7565) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7572) op(e2, e3) = all_10_1
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7402) gives:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7573) all_8_9 = e3
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (606), (7558), (7573) are inconsistent by
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #526.
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7574) all_8_9 = e2 | all_8_9 = e1 | all_8_9 = e0
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5083) gives:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7575) all_8_21 = e3
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (582), (7575) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7576) all_4_18 = e3
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7556), (7576) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7577) $false
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7577) is inconsistent.
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7578) all_8_21 = e2 | all_8_21 = e1 | all_8_21 = e0
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7578) gives:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7579) all_8_21 = e2
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (582), (7579) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7580) all_4_18 = e2
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7569), (7580) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7581) $false
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7581) is inconsistent.
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7582) all_8_21 = e1 | all_8_21 = e0
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7582) gives:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7583) all_8_21 = e1
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (582), (7583) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7584) all_4_18 = e1
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (656), (7584) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7585) all_12_21 = e1
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (776), (7584) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7586) op(e1, e3) = all_10_21
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7574) gives:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7587) all_8_9 = e2
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (606), (7587) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7588) all_4_19 = e2
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7588) implies:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7589) all_4_19 = e2
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (761), (7589) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7590) ~ (all_4_21 = e2)
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7590) implies:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7591) ~ (all_4_21 = e2)
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7403), (7589) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7592) ~ (e4 = e2)
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (788), (7589) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7593) op(e2, e0) = all_10_9
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7425) gives:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7594) all_8_14 = e3
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (607), (7594) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7595) all_4_21 = e3
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7595) implies:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7596) all_4_21 = e3
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (687), (7596) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7597) ~ (all_4_4 = e3)
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (753), (7596) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7598) ~ (all_4_14 = e3)
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7414), (7596) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7599) ~ (e4 = e3)
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (789), (7596) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7600) op(e3, e0) = all_10_14
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6393), (7596) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7601) op(e4, e3) = e2
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (806), (7596) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7602) op(e2, e3) = all_10_39
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7493) gives:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7603) all_12_21 = e2
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7585), (7603) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7604) e2 = e1
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (7604) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7605) $false
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7605) is inconsistent.
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7606) all_12_22 = e2 | all_12_23 = e2 | all_12_24 = e2
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7606) gives:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7607) all_12_22 = e2
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6383), (7607) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7608) e4 = e2
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7608) implies:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7609) e4 = e2
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13), (7609) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7610) $false
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7610) is inconsistent.
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7611) all_12_23 = e2 | all_12_24 = e2
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2874) gives:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7612) all_8_23 = e3
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (602), (7612) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7613) all_4_22 = e3
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7457), (7613) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7614) $false
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7614) is inconsistent.
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7615) all_8_23 = e2 | all_8_23 = e1 | all_8_23 = e0
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7615) gives:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7616) all_8_23 = e2
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (602), (7616) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7617) all_4_22 = e2
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (560), (7617) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7618) all_10_69 = e2
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (745), (7617) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7619) ~ (all_4_10 = e2)
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (752), (7617) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7620) ~ (all_4_14 = e2)
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (786), (7617) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7621) op(e2, e1) = all_10_23
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (815), (7617) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7622) op(e0, e2) = all_10_48
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7491) gives:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7623) all_10_66 = e3
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (7528), (7623) are inconsistent by sub-proof
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #445.
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7624) all_10_67 = e2 | all_10_68 = e1 | all_10_69 = e0
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7624) gives:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7625) all_10_67 = e2
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (532), (7620), (7625) are inconsistent by
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #453.
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7626) ~ (all_10_67 = e2)
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7627) all_10_68 = e1 | all_10_69 = e0
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7627) gives:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7628) all_10_68 = e1
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (7628) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7629) all_4_15 = e1
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7629) implies:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7630) all_4_15 = e1
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (691), (7630) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7631) ~ (all_4_9 = e1)
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (7630) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7632) ~ (all_4_10 = e1)
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (738), (7630) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7633) ~ (all_4_13 = e1)
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (751), (7630) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7634) ~ (all_4_14 = e1)
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (785), (7630) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7635) op(e1, e1) = all_10_18
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23), (7630) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7636) op(e1, e1) = e1
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7637) all_8_13 = e4
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (598), (7538), (7637) are inconsistent by
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #785.
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7638) ~ (all_8_13 = e4)
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7639) all_8_13 = e3 | all_8_13 = e2 | all_8_13 = e1 |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_13 = e0
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (375) gives:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7640) all_12_9 = e3
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (7640) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7641) all_4_10 = e3
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7641) implies:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7642) all_4_10 = e3
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (7642) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7643) ~ (all_4_14 = e3)
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (7642) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7644) op(all_4_9, e3) = e4
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (56), (7642) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7645) op(e3, all_4_9) = e1
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (782), (7642) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7646) op(e3, e1) = all_10_3
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (372) gives:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7647) all_12_9 = e0
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7640), (7647) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7648) e3 = e0
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (7648) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7649) $false
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7649) is inconsistent.
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7650) ~ (all_12_9 = e0)
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7651) all_12_10 = e0 | all_12_11 = e0 | all_12_15 = e0 |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_23 = e0
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7505) gives:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7652) all_12_13 = e3
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7530), (7652) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7653) e3 = e0
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (7653) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7654) $false
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7654) is inconsistent.
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7655) all_12_14 = e3 | all_12_15 = e3 | all_12_19 = e3
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7639) gives:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7656) all_8_13 = e3
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (598), (7598), (7656) are inconsistent by
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #327.
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7657) all_8_13 = e2 | all_8_13 = e1 | all_8_13 = e0
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7449) gives:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7658) all_8_15 = e3
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (570), (7455), (7658) are inconsistent by
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #732.
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7659) all_8_15 = e2 | all_8_15 = e1 | all_8_15 = e0
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7659) gives:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7660) all_8_15 = e2
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (570), (7660) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7661) all_4_9 = e2
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7661) implies:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7662) all_4_9 = e2
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (676), (7662) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7663) ~ (all_4_1 = e2)
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (682), (7662) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7664) ~ (all_4_4 = e2)
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (690), (7662) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7665) ~ (all_4_13 = e2)
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7665) implies:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7666) ~ (all_4_13 = e2)
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (770), (7662) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7667) op(e2, e4) = all_10_15
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7644), (7662) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7668) op(e2, e3) = e4
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7645), (7662) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7669) op(e3, e2) = e1
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6407) gives:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7670) all_10_61 = e3
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (518), (7670) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7671) all_4_7 = e3
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7554), (7671) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7672) $false
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7672) is inconsistent.
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7673) all_10_62 = e2 | all_10_63 = e1 | all_10_64 = e0
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7651) gives:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7674) all_12_10 = e0
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (7531), (7674) are inconsistent by sub-proof
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #326.
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7675) all_12_11 = e0 | all_12_15 = e0 | all_12_23 = e0
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7675) gives:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7676) all_12_11 = e0
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (454), (7676) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7677) all_4_14 = e0
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7677) implies:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7678) all_4_14 = e0
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (7678) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7679) ~ (all_4_4 = e0)
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7538), (7678) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7680) ~ (e4 = e0)
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (53), (7678) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7681) op(all_4_13, e0) = e2
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (52), (7678) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7682) op(e0, all_4_13) = e1
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (784), (7678) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7683) op(e0, e1) = all_10_13
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (28), (7678) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7684) op(e2, e1) = e0
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (397) gives:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7685) all_12_0 = e0
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7465), (7685) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7686) e4 = e0
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (7686) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7687) $false
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7687) is inconsistent.
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7688) all_12_2 = e0 | all_12_6 = e0 | all_12_12 = e0 |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_20 = e0
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7655) gives:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7689) all_12_14 = e3
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (661), (7689) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7690) all_4_13 = e3
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7690) implies:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7691) all_4_13 = e3
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (724), (7691) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7692) ~ (all_4_5 = e3)
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (780), (7691) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7693) op(e3, e2) = all_10_17
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7681), (7691) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7694) op(e3, e0) = e2
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (809), (7691) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7695) op(e1, e3) = all_10_42
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (24), (7691) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7696) op(e1, e2) = e3
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7682), (7691) imply:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7697) op(e0, e3) = e1
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7688) gives:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7698) all_12_2 = e0
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (7698) imply:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7699) all_4_1 = e0
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7699) implies:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7700) all_4_1 = e0
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7461), (7700) imply:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7701) all_10_20 = e0
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (768), (7700) imply:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7702) op(e0, e4) = all_10_5
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7571), (7700) imply:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7703) op(e2, e0) = e3
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (382) gives:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7704) all_12_4 = e0
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (7704) imply:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7705) all_4_5 = e0
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6399), (7705) imply:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7706) all_10_22 = e0
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (722), (7705) imply:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7707) ~ (all_4_7 = e0)
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7707) implies:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7708) ~ (all_4_7 = e0)
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7517), (7705) imply:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7709) ~ (e1 = e0)
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (61), (7705) imply:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7710) op(e0, all_4_4) = e2
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (777), (7705) imply:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7711) op(e0, e2) = all_10_2
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7673) gives:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7712) all_10_62 = e2
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (455), (7712) imply:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7713) all_4_8 = e2
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (728), (7713) imply:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7714) ~ (all_4_7 = e2)
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (779), (7713) imply:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7715) op(e2, e2) = all_10_12
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (29), (7713) imply:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7716) op(e2, e2) = e2
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (383) gives:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7717) all_12_4 = e1
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7704), (7717) are inconsistent by sub-proof
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #325.
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7718) all_12_5 = e1 | all_12_8 = e1 | all_12_14 = e1 |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_22 = e1
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (378) gives:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7719) all_12_6 = e1
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (7719) imply:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7720) all_4_4 = e1
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7720) implies:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7721) all_4_4 = e1
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (769), (7721) imply:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7722) op(e1, e4) = all_10_10
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (802), (7721) imply:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7723) op(e2, e1) = all_10_35
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (31), (7721) imply:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7724) op(e2, e4) = e1
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7710), (7721) imply:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7725) op(e0, e1) = e2
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7436) gives:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7726) all_8_7 = e3
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (586), (7554), (7726) are inconsistent by
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #761.
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7727) all_8_7 = e2 | all_8_7 = e1 | all_8_7 = e0
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7727) gives:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7728) all_8_7 = e2
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (586), (7714), (7728) are inconsistent by
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #760.
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7729) all_8_7 = e1 | all_8_7 = e0
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7729) gives:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7730) all_8_7 = e1
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (586), (7730) imply:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7731) all_4_7 = e1
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7731) implies:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7732) all_4_7 = e1
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7549), (7732) imply:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7733) op(e1, e4) = e2
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (778), (7732) imply:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7734) op(e1, e2) = all_10_7
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7547), (7732) imply:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7735) op(e4, e1) = e3
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (799), (7732) imply:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7736) op(e3, e1) = all_10_32
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_13, e1, e0, simplifying with (7683), (7725)
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7737) all_10_13 = e2
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_10_2,
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (6397), (7711) gives:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7738) all_10_2 = e4
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_48,
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_2, e2, e0, simplifying with (7622), (7711)
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7739) all_10_2 = all_10_48
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_16, e3, e0, simplifying with (7541), (7697)
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7740) all_10_16 = e1
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_10_5,
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e0, simplifying with (7540), (7702) gives:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7741) all_10_5 = e3
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_18, e1, e1, simplifying with (7635), (7636)
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7742) all_10_18 = e1
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_10_7,
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (7696), (7734) gives:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7743) all_10_7 = e3
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_21, e3, e1, simplifying with (7522), (7586)
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7744) all_10_21 = e0
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_42,
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_21, e3, e1, simplifying with (7586), (7695)
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7745) all_10_21 = all_10_42
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_10, e4, e1, simplifying with (7722), (7733)
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7746) all_10_10 = e2
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_10_9,
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e2, simplifying with (7593), (7703) gives:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7747) all_10_9 = e3
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_35,
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_23, e1, e2, simplifying with (7621), (7723)
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7748) all_10_23 = all_10_35
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_23, e1, e2, simplifying with (7621), (7684)
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7749) all_10_23 = e0
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_12, e2, e2, simplifying with (7715), (7716)
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7750) all_10_12 = e2
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_39,
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_1, e3, e2, simplifying with (7572), (7602)
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7751) all_10_1 = all_10_39
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_10_1,
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (7572), (7668) gives:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7752) all_10_1 = e4
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_15, e4, e2, simplifying with (7667), (7724)
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7753) all_10_15 = e1
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_14, e0, e3, simplifying with (7600), (7694)
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7754) all_10_14 = e2
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_10_3,
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (7524), (7646) gives:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7755) all_10_3 = e4
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_32,
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_3, e1, e3, simplifying with (7646), (7736)
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7756) all_10_3 = all_10_32
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_17, e2, e3, simplifying with (7669), (7693)
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7757) all_10_17 = e1
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_10_6,
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (7559), (7560) gives:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7758) all_10_6 = e3
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_10_8,
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e4, simplifying with (7542), (7735) gives:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7759) all_10_8 = e3
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_11, e3, e4, simplifying with (7548), (7601)
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7760) all_10_11 = e2
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7751), (7752) imply:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7761) all_10_39 = e4
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7738), (7739) imply:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7762) all_10_48 = e4
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7755), (7756) imply:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7763) all_10_32 = e4
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7744), (7745) imply:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7764) all_10_42 = e0
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7748), (7749) imply:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7765) all_10_35 = e0
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (331), (832), (7479), (7515), (7525), (7701),
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7706), (7737), (7738), (7740), (7741), (7742),
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7743), (7744), (7746), (7747), (7749), (7750),
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7752), (7753), (7754), (7755), (7757), (7758),
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7759), (7760) are inconsistent by sub-proof #666.
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7766) all_8_7 = e0
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (586), (7708), (7766) are inconsistent by
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #757.
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7767) ~ (all_12_6 = e1)
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (665), (7767) imply:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7768) ~ (all_4_4 = e1)
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (478), (566), (568), (675), (679), (7454),
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7484), (7488), (7597), (7663), (7664), (7669),
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7718), (7768), (function-axioms) are inconsistent
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #348.
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7769) all_10_63 = e1 | all_10_64 = e0
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (435), (6386), (7633), (7769) are
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #323.
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7770) ~ (all_12_4 = e0)
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (498), (7770) imply:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7771) ~ (all_4_5 = e0)
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (583), (722), (7406), (7567), (7669),
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7692), (7771), (function-axioms) are inconsistent
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #349.
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7772) ~ (all_12_2 = e0)
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (486), (7772) imply:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7773) ~ (all_4_1 = e0)
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (378), (566), (568), (665), (675), (7454), (7484),
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7488), (7597), (7663), (7664), (7679), (7773) are
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #654.
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7774) ~ (all_12_14 = e3)
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (661), (7774) imply:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7775) ~ (all_4_13 = e3)
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (590), (7441), (7535), (7633), (7666), (7775) are
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #540.
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7776) ~ (all_12_11 = e0)
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (454), (7776) imply:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7777) ~ (all_4_14 = e0)
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (598), (7620), (7634), (7657), (7777) are
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #544.
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7778) all_8_15 = e1 | all_8_15 = e0
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (570), (7519), (7631), (7645), (7778),
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #322.
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7779) ~ (all_12_9 = e3)
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (494), (7779) imply:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7780) ~ (all_4_10 = e3)
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7500) gives:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7781) all_8_3 = e3
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (594), (7780), (7781) are inconsistent by
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #735.
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7782) all_8_3 = e2 | all_8_3 = e1 | all_8_3 = e0
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7639) gives:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7783) all_8_13 = e3
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (598), (7598), (7783) are inconsistent by
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #327.
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7784) all_8_13 = e2 | all_8_13 = e1 | all_8_13 = e0
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (594), (598), (743), (7619), (7620), (7632),
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7634), (7782), (7784) are inconsistent by
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #662.
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7785) all_10_69 = e0
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7618), (7785) imply:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7786) e2 = e0
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7786) implies:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7787) e2 = e0
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (7787) imply:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7788) $false
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7788) is inconsistent.
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7789) ~ (all_8_23 = e2)
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (602), (7789) imply:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7790) ~ (all_4_22 = e2)
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7611) gives:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7791) all_12_23 = e2
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (414), (7791) imply:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7792) all_4_22 = e2
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7792) implies:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7793) all_4_22 = e2
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7790), (7793) imply:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7794) $false
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7794) is inconsistent.
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7795) all_12_24 = e2
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (817), (7795) imply:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7796) e2 = e0
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (7796) imply:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7797) $false
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7797) is inconsistent.
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7798) all_8_14 = e2 | all_8_14 = e1 | all_8_14 = e0
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (607), (825), (7521), (7591), (7798) are
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #478.
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7799) all_8_9 = e1 | all_8_9 = e0
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (606), (823), (7519), (7799) are inconsistent by
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #512.
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7800) all_8_21 = e0
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (582), (7800) imply:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7801) all_4_18 = e0
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (822), (7801) imply:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7802) $false
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7802) is inconsistent.
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7803) all_8_1 = e1 | all_8_1 = e0
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (574), (7516), (7532), (7803) are inconsistent by
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #543.
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7804) all_10_57 = e2 | all_10_58 = e1 | all_10_59 = e0
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7804) gives:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7805) all_10_57 = e2
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7545), (7805) imply:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7806) e4 = e2
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13), (7806) imply:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7807) $false
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7807) is inconsistent.
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7808) all_10_58 = e1 | all_10_59 = e0
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7808) gives:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7809) all_10_58 = e1
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7529), (7809) imply:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7810) e1 = e0
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7810) implies:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7811) e1 = e0
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (7811) imply:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7812) $false
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7812) is inconsistent.
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7813) all_10_59 = e0
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (420), (7813) imply:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7814) all_4_18 = e0
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7814) implies:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7815) all_4_18 = e0
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (822), (7815) imply:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7816) $false
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7816) is inconsistent.
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7817) all_12_8 = e4 | all_12_11 = e4 | all_12_18 = e4
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (58), (454), (658), (664), (7414), (7477),
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7538), (7817), (function-axioms) are inconsistent
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #771.
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7818) ~ (all_12_16 = e1)
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (659), (7818) imply:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7819) ~ (all_4_17 = e1)
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7428) gives:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7820) all_8_4 = e3
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (603), (7820) imply:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7821) all_4_17 = e3
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7821) implies:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7822) all_4_17 = e3
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7460), (7822) imply:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7823) op(e3, e3) = e0
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7458), (7822) imply:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7824) op(e3, e3) = e4
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (35), (7823), (7824), (function-axioms) are
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #528.
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7825) all_8_4 = e2 | all_8_4 = e1 | all_8_4 = e0
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (603), (821), (7511), (7819), (7825) are
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #368.
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | (7826) ~ (all_10_50 = e4)
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | (7827) all_10_51 = e3 | all_10_52 = e2 | all_10_53 = e1 |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | all_10_54 = e0
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | REDUCE: (508), (7826) imply:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | (7828) ~ (all_4_0 = e4)
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | (7829) all_8_0 = e4
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (564), (7828), (7829) are inconsistent by
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | sub-proof #706.
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | (7830) ~ (all_8_0 = e4)
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | (7831) all_8_0 = e3 | all_8_0 = e2 | all_8_0 = e1 |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | all_8_0 = e0
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (405) gives:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | (7832) all_12_0 = e4
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (7832) imply:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | (7833) all_4_0 = e4
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7828), (7833) imply:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | (7834) $false
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7834) is inconsistent.
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | (7835) ~ (all_12_0 = e4)
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | (7836) all_12_2 = e4 | all_12_6 = e4 | all_12_12 = e4 |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | all_12_20 = e4
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (406) gives:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | (7837) all_12_0 = e4
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (7837) imply:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | (7838) all_4_0 = e4
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7828), (7838) imply:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | (7839) $false
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7839) is inconsistent.
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | (7840) all_12_1 = e4 | all_12_4 = e4 | all_12_9 = e4 |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | all_12_16 = e4
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | (7841) all_8_10 = e4
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (568), (7841) imply:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | (7842) all_4_4 = e4
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7842) implies:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | (7843) all_4_4 = e4
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (463), (7843) imply:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | (7844) all_10_52 = e4
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (7843) imply:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | (7845) ~ (all_4_8 = e4)
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (682), (7843) imply:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | (7846) ~ (all_4_9 = e4)
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7827) gives:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | (7847) all_10_51 = e3
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (512), (7454), (7847) are inconsistent by
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #623.
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | (7848) all_10_52 = e2 | all_10_53 = e1 | all_10_54 = e0
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7848) gives:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7849) all_10_52 = e2
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (7844), (7849) are inconsistent by sub-proof
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | #575.
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7850) all_10_53 = e1 | all_10_54 = e0
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7850) gives:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7851) all_10_53 = e1
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (534), (7851) imply:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7852) all_4_9 = e1
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (669), (7852) imply:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7853) ~ (all_4_0 = e1)
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7410), (7852) imply:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7854) ~ (e4 = e1)
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (56), (7852) imply:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7855) op(all_4_10, e1) = e1
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_3, e1,
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, all_4_10, simplifying with (782), (7855)
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7856) all_10_3 = e1
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (396) gives:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7857) all_12_1 = e4
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (7857) imply:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7858) all_4_2 = e4
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (697), (7858) imply:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7859) ~ (all_4_3 = e4)
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7859) implies:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7860) ~ (all_4_3 = e4)
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (35), (66), (243), (401), (404), (506),
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (564), (830), (6389), (7828), (7853), (7860),
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #428.
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7861) ~ (all_12_1 = e4)
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (666), (7861) imply:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7862) ~ (all_4_2 = e4)
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (376) gives:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7863) all_12_9 = e4
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (7863) imply:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7864) all_4_10 = e4
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7864) implies:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7865) all_4_10 = e4
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7855), (7865) imply:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7866) op(e4, e1) = e1
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (38), (7865) imply:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7867) op(e4, e1) = e4
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (7866), (7867), (function-axioms) are
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #584.
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7868) ~ (all_12_9 = e4)
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (494), (7868) imply:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7869) ~ (all_4_10 = e4)
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (494), (498), (659), (666), (6387), (7413),
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7840), (7862), (7869) are inconsistent by
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #321.
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7870) all_10_54 = e0
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7453), (7870) imply:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7871) e3 = e0
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (7871) imply:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7872) $false
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7872) is inconsistent.
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | (7873) ~ (all_8_10 = e4)
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (568), (7873) imply:
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | (7874) ~ (all_4_4 = e4)
% 178.55/26.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (29), (35), (66), (399), (401), (404),
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | (446), (486), (506), (564), (657), (665), (667),
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | (678), (830), (6389), (6391), (7410), (7412),
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | (7831), (7836), (7874), (function-axioms) are
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #530.
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | End of split
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | End of split
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | |
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | Case 2:
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | |
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | (7875) ~ (all_12_20 = e3)
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | (7876) all_12_21 = e3 | all_12_22 = e3 | all_12_23 = e3 |
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | all_12_24 = e3
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | |
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | REDUCE: (657), (7875) imply:
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | (7877) ~ (all_4_16 = e3)
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | |
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | BETA: splitting (359) gives:
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | |
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | (7878) all_12_20 = e1
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (7878) imply:
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | (7879) all_4_16 = e1
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | SIMP: (7879) implies:
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | (7880) all_4_16 = e1
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | REDUCE: (50), (7880) imply:
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | (7881) op(e1, all_4_17) = e4
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (24), (25), (365), (603), (659), (821),
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | (6390), (7411), (7412), (7428), (7881),
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | #691.
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | (7882) ~ (all_12_20 = e1)
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | (7883) all_12_21 = e1 | all_12_22 = e1 | all_12_23 = e1 |
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | all_12_24 = e1
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | REDUCE: (657), (7882) imply:
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | (7884) ~ (all_4_16 = e1)
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6404) gives:
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | (7885) all_8_20 = e3
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (572), (7877), (7885) are inconsistent by
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | sub-proof #579.
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | (7886) ~ (all_8_20 = e3)
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | (7887) all_8_20 = e2 | all_8_20 = e1 | all_8_20 = e0
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7887) gives:
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | (7888) all_8_20 = e2
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (572), (7888) imply:
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | (7889) all_4_16 = e2
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7889) implies:
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | (7890) all_4_16 = e2
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (424), (7890) imply:
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | (7891) all_10_54 = e2
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6398), (7890) imply:
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | (7892) all_10_47 = e2
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (7890) imply:
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | (7893) all_12_20 = e2
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (670), (7890) imply:
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | (7894) ~ (all_4_0 = e2)
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (677), (7890) imply:
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | (7895) ~ (all_4_1 = e2)
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (683), (7890) imply:
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | (7896) ~ (all_4_4 = e2)
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (688), (7890) imply:
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | (7897) ~ (all_4_9 = e2)
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (693), (7890) imply:
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | (7898) ~ (all_4_18 = e2)
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7898) implies:
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | (7899) ~ (all_4_18 = e2)
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6391), (7890) imply:
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | (7900) ~ (e4 = e2)
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7877), (7890) imply:
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | (7901) ~ (e3 = e2)
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (50), (7890) imply:
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | (7902) op(e2, all_4_17) = e4
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (771), (7890) imply:
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | (7903) op(e2, e4) = all_10_20
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (49), (7890) imply:
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | (7904) op(all_4_17, e2) = e0
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (812), (7890) imply:
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | (7905) op(e0, e2) = all_10_45
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4,
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | all_10_45, e2, e0, simplifying with (6397), (7905)
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | (7906) all_10_45 = e4
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_4,
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | all_10_20, e4, e2, simplifying with (31), (7903)
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | (7907) all_10_20 = all_4_4
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (329) gives:
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | | (7908) all_10_50 = e4
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (508), (7908) imply:
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | | (7909) all_4_0 = e4
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (667), (7909) imply:
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | | (7910) ~ (all_4_1 = e4)
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7910) implies:
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | | (7911) ~ (all_4_1 = e4)
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (671), (7909) imply:
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | | (7912) ~ (all_4_2 = e4)
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7912) implies:
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | | (7913) ~ (all_4_2 = e4)
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (668), (7909) imply:
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | | (7914) ~ (all_4_4 = e4)
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7914) implies:
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | | (7915) ~ (all_4_4 = e4)
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (672), (7909) imply:
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | | (7916) ~ (all_4_5 = e4)
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (669), (7909) imply:
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | | (7917) ~ (all_4_9 = e4)
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (673), (7909) imply:
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | | (7918) ~ (all_4_10 = e4)
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7918) implies:
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | | (7919) ~ (all_4_10 = e4)
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (767), (7909) imply:
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | | (7920) op(e4, e4) = all_10_0
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (792), (7909) imply:
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | | (7921) op(e4, e4) = all_10_25
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (41), (7909) imply:
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | | (7922) op(e4, e4) = e4
% 178.98/26.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_25,
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | all_10_0, e4, e4, simplifying with (7920), (7921)
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | (7923) all_10_0 = all_10_25
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_10_0,
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | e4, e4, simplifying with (7920), (7922) gives:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | (7924) all_10_0 = e4
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7923), (7924) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | (7925) all_10_25 = e4
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7925) implies:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | (7926) all_10_25 = e4
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | (7927) all_8_10 = e4
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (568), (7927) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | (7928) all_4_4 = e4
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7915), (7928) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | (7929) $false
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7929) is inconsistent.
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | (7930) ~ (all_8_10 = e4)
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | (7931) all_8_10 = e3 | all_8_10 = e2 | all_8_10 = e1 |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | all_8_10 = e0
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (7932) all_8_5 = e4
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (566), (7932) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (7933) all_4_1 = e4
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7911), (7933) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (7934) $false
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7934) is inconsistent.
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (7935) ~ (all_8_5 = e4)
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (7936) all_8_5 = e3 | all_8_5 = e2 | all_8_5 = e1 |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_5 = e0
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (391) gives:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7937) all_12_2 = e4
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (7911), (7937) are inconsistent by
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #695.
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7938) ~ (all_12_2 = e4)
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7939) all_12_3 = e4 | all_12_5 = e4 | all_12_10 = e4 |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_17 = e4
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (327) gives:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7940) all_10_51 = e4
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (512), (7940) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7941) all_4_1 = e4
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7911), (7941) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7942) $false
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7942) is inconsistent.
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7943) all_10_56 = e3 | all_10_61 = e2 | all_10_66 = e1 |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_71 = e0
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (321) gives:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7944) all_10_65 = e4
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (528), (7919), (7944) are inconsistent by
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #790.
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7945) ~ (all_10_65 = e4)
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7946) all_10_66 = e3 | all_10_67 = e2 | all_10_68 = e1 |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_69 = e0
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (376) gives:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7947) all_12_9 = e4
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (494), (7919), (7947) are inconsistent by
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #506.
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7948) ~ (all_12_9 = e4)
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7949) all_12_10 = e4 | all_12_11 = e4 | all_12_15 = e4 |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_23 = e4
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (326) gives:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7950) all_10_52 = e4
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (463), (7915), (7950) are inconsistent by
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #778.
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7951) all_10_57 = e3 | all_10_62 = e2 | all_10_67 = e1 |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_72 = e0
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7952) all_8_3 = e4
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (594), (7919), (7952) are inconsistent by
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #789.
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7953) all_8_3 = e3 | all_8_3 = e2 | all_8_3 = e1 |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_3 = e0
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7954) all_8_1 = e4
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (574), (7913), (7954) are inconsistent by
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #776.
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7955) all_8_1 = e3 | all_8_1 = e2 | all_8_1 = e1 |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_1 = e0
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (363) gives:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7956) all_12_16 = e1
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (7956) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7957) all_4_17 = e1
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7902), (7957) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7958) op(e2, e1) = e4
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_14, e4,
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (28), (7958) gives:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7959) all_4_14 = e4
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (747), (7959) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7960) ~ (all_4_12 = e4)
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (63), (470), (478), (482), (663), (6388),
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7403), (7922), (7939), (7960), (function-axioms)
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #532.
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7961) ~ (all_12_16 = e1)
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7962) all_12_17 = e1 | all_12_18 = e1 | all_12_19 = e1 |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_24 = e1
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (659), (7961) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7963) ~ (all_4_17 = e1)
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (365) gives:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7964) all_12_16 = e3
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (7964) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7965) all_4_17 = e3
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7965) implies:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7966) all_4_17 = e3
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (727), (7966) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7967) ~ (all_4_5 = e3)
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (746), (7966) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7968) ~ (all_4_10 = e3)
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (758), (7966) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7969) ~ (all_4_21 = e3)
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7969) implies:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7970) ~ (all_4_21 = e3)
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7904), (7966) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7971) op(e3, e2) = e0
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (796), (7966) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7972) op(e4, e3) = all_10_29
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7902), (7966) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7973) op(e2, e3) = e4
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_6, e4,
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (30), (7973) gives:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7974) all_4_6 = e4
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_7, e0,
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (34), (7971) gives:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7975) all_4_7 = e0
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_2,
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_29, e3, e4, simplifying with (40), (7972)
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7976) all_10_29 = all_4_2
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (518), (7975) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7977) all_10_61 = e0
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (523), (7974) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7978) all_10_57 = e4
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (462), (7974) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7979) all_12_7 = e4
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (7975) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7980) all_12_5 = e0
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (679), (7975) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7981) ~ (all_4_1 = e0)
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (704), (7974) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7982) ~ (all_4_3 = e4)
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (707), (7975) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7983) ~ (all_4_3 = e0)
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (722), (7975) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7984) ~ (all_4_5 = e0)
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (728), (7975) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7985) ~ (all_4_8 = e0)
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7985) implies:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7986) ~ (all_4_8 = e0)
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (731), (7975) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7987) ~ (all_4_12 = e0)
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7987) implies:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7988) ~ (all_4_12 = e0)
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (729), (7975) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7989) ~ (all_4_13 = e0)
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7989) implies:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7990) ~ (all_4_13 = e0)
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (732), (7975) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7991) ~ (all_4_19 = e0)
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (60), (7974), (7975) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7992) op(e4, e0) = e3
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (799), (7975) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7993) op(e3, e0) = all_10_32
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (803), (7974) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7994) op(e2, e4) = all_10_36
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7939) gives:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7995) all_12_3 = e4
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (482), (7995) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7996) all_4_3 = e4
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7982), (7996) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7997) $false
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7997) is inconsistent.
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7998) all_12_5 = e4 | all_12_10 = e4 | all_12_17 = e4
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7949) gives:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7999) all_12_10 = e4
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (663), (7999) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8000) all_4_12 = e4
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8000) implies:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8001) all_4_12 = e4
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (472), (8001) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8002) all_10_66 = e4
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (747), (8001) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8003) ~ (all_4_14 = e4)
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8003) implies:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8004) ~ (all_4_14 = e4)
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (54), (8001) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8005) op(e4, all_4_11) = e1
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (783), (8001) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8006) op(e4, e1) = all_10_8
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (800), (8001) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8007) op(e3, e4) = all_10_33
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7943) gives:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8008) all_10_56 = e3
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (514), (8008) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8009) all_4_3 = e3
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (482), (8009) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8010) all_12_3 = e3
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (678), (8009) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8011) ~ (all_4_1 = e3)
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (697), (8009) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8012) ~ (all_4_2 = e3)
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (706), (8009) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8013) ~ (all_4_18 = e3)
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8013) implies:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8014) ~ (all_4_18 = e3)
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7982), (8009) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8015) ~ (e4 = e3)
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (773), (8009) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8016) op(e3, e3) = all_10_6
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (798), (8009) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8017) op(e3, e3) = all_10_31
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (35), (8009) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8018) op(e3, e3) = e3
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7936) gives:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8019) all_8_5 = e3
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (566), (8011), (8019) are inconsistent by
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #764.
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8020) all_8_5 = e2 | all_8_5 = e1 | all_8_5 = e0
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8020) gives:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8021) all_8_5 = e2
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (566), (7895), (8021) are inconsistent by
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #763.
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8022) ~ (all_8_5 = e2)
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8023) all_8_5 = e1 | all_8_5 = e0
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8023) gives:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8024) all_8_5 = e1
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (566), (8024) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8025) all_4_1 = e1
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8025) implies:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8026) all_4_1 = e1
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (8026) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8027) all_12_2 = e1
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (681), (8026) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8028) ~ (all_4_19 = e1)
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8028) implies:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8029) ~ (all_4_19 = e1)
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7895), (8026) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8030) ~ (e2 = e1)
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (65), (8026) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8031) op(e1, all_4_2) = e4
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (797), (8026) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8032) op(e3, e1) = all_10_30
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (389) gives:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8033) all_12_2 = e2
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8027), (8033) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8034) e2 = e1
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (8034) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8035) $false
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8035) is inconsistent.
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8036) all_12_3 = e2 | all_12_5 = e2 | all_12_10 = e2 |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_17 = e2
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8036) gives:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8037) all_12_3 = e2
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8010), (8037) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8038) e3 = e2
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (8038) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8039) $false
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8039) is inconsistent.
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8040) all_12_5 = e2 | all_12_10 = e2 | all_12_17 = e2
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8040) gives:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8041) all_12_5 = e2
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7980), (8041) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8042) e2 = e0
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (8042) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8043) $false
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8043) is inconsistent.
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8044) all_12_10 = e2 | all_12_17 = e2
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8044) gives:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8045) all_12_10 = e2
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (7999), (8045) are inconsistent by sub-proof
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #320.
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8046) all_12_17 = e2
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (470), (8046) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8047) all_4_19 = e2
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (761), (8047) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8048) ~ (all_4_21 = e2)
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8048) implies:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8049) ~ (all_4_21 = e2)
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (48), (8047) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8050) op(all_4_18, e2) = e3
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (788), (8047) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8051) op(e2, e0) = all_10_9
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (801), (8047) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8052) op(e3, e2) = all_10_34
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7876) gives:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8053) all_12_21 = e3
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (656), (8053) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8054) all_4_18 = e3
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8054) implies:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8055) all_4_18 = e3
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8014), (8055) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8056) $false
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8056) is inconsistent.
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8057) all_12_22 = e3 | all_12_23 = e3 | all_12_24 = e3
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7425) gives:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8058) all_8_14 = e3
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (607), (7970), (8058) are inconsistent by
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #678.
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8059) all_8_14 = e2 | all_8_14 = e1 | all_8_14 = e0
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7962) gives:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8060) all_12_17 = e1
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8046), (8060) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8061) e2 = e1
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (8061) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8062) $false
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8062) is inconsistent.
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8063) all_12_18 = e1 | all_12_19 = e1 | all_12_24 = e1
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8063) gives:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8064) all_12_18 = e1
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (658), (8064) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8065) all_4_21 = e1
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8065) implies:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8066) all_4_21 = e1
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (687), (8066) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8067) ~ (all_4_4 = e1)
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (753), (8066) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8068) ~ (all_4_14 = e1)
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (789), (8066) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8069) op(e1, e0) = all_10_14
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (806), (8066) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8070) op(e2, e1) = all_10_39
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7951) gives:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8071) all_10_57 = e3
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7978), (8071) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8072) e4 = e3
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (8072) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8073) $false
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8073) is inconsistent.
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8074) ~ (all_10_57 = e3)
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8075) all_10_62 = e2 | all_10_67 = e1 | all_10_72 = e0
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8075) gives:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8076) all_10_62 = e2
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (455), (8076) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8077) all_4_8 = e2
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8077) implies:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8078) all_4_8 = e2
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (664), (8078) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8079) all_12_8 = e2
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (723), (8078) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8080) ~ (all_4_5 = e2)
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (733), (8078) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8081) ~ (all_4_13 = e2)
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8081) implies:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8082) ~ (all_4_13 = e2)
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (735), (8078) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8083) ~ (all_4_14 = e2)
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8083) implies:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8084) ~ (all_4_14 = e2)
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (779), (8078) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8085) op(e2, e2) = all_10_12
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (804), (8078) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8086) op(e2, e2) = all_10_37
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (29), (8078) imply:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8087) op(e2, e2) = e2
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (385) gives:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8088) all_12_4 = e3
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (7967), (8088) are inconsistent by
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #680.
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8089) ~ (all_12_4 = e3)
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8090) all_12_5 = e3 | all_12_8 = e3 | all_12_14 = e3 |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_22 = e3
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7406) gives:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8091) all_8_2 = e3
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (7967), (8091) are inconsistent by
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #753.
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8092) all_8_2 = e2 | all_8_2 = e1 | all_8_2 = e0
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8092) gives:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8093) all_8_2 = e2
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (8080), (8093) are inconsistent by
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #752.
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8094) all_8_2 = e1 | all_8_2 = e0
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7946) gives:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8095) all_10_66 = e3
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (8002), (8095) are inconsistent by sub-proof
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #445.
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8096) ~ (all_10_66 = e3)
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8097) all_10_67 = e2 | all_10_68 = e1 | all_10_69 = e0
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8057) gives:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8098) all_12_22 = e3
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (6383), (8098) are inconsistent by sub-proof
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #346.
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8099) all_12_23 = e3 | all_12_24 = e3
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8090) gives:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.98/26.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8100) all_12_5 = e3
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7980), (8100) imply:
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8101) e3 = e0
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (8101) imply:
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8102) $false
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8102) is inconsistent.
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8103) all_12_8 = e3 | all_12_14 = e3 | all_12_22 = e3
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8097) gives:
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8104) all_10_67 = e2
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (532), (8084), (8104) are inconsistent by
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #453.
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8105) all_10_68 = e1 | all_10_69 = e0
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8105) gives:
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8106) all_10_68 = e1
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (8106) imply:
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8107) all_4_15 = e1
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8107) implies:
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8108) all_4_15 = e1
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (691), (8108) imply:
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8109) ~ (all_4_9 = e1)
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (717), (8108) imply:
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8110) ~ (all_4_11 = e1)
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (754), (8108) imply:
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8111) ~ (all_4_22 = e1)
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8111) implies:
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8112) ~ (all_4_22 = e1)
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (785), (8108) imply:
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8113) op(e1, e1) = all_10_18
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (810), (8108) imply:
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8114) op(e1, e1) = all_10_43
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23), (8108) imply:
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8115) op(e1, e1) = e1
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (383) gives:
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8116) all_12_4 = e1
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (8116) imply:
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8117) all_4_5 = e1
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8117) implies:
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8118) all_4_5 = e1
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (701), (8118) imply:
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8119) ~ (all_4_2 = e1)
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (726), (8118) imply:
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8120) ~ (all_4_10 = e1)
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8120) implies:
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8121) ~ (all_4_10 = e1)
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (724), (8118) imply:
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8122) ~ (all_4_13 = e1)
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8122) implies:
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8123) ~ (all_4_13 = e1)
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6387), (8118) imply:
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8124) ~ (e4 = e1)
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (8118) imply:
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8125) op(all_4_4, e1) = e4
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (61), (8118) imply:
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8126) op(e1, all_4_4) = e2
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (777), (8118) imply:
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8127) op(e1, e2) = all_10_2
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (794), (8118) imply:
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8128) op(e4, e1) = all_10_27
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (374) gives:
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 178.98/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8129) all_12_9 = e2
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (8129) imply:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8130) all_4_10 = e2
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8130) implies:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8131) all_4_10 = e2
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (702), (8131) imply:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8132) ~ (all_4_2 = e2)
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (8131) imply:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8133) op(all_4_9, e2) = e4
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (56), (8131) imply:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8134) op(e2, all_4_9) = e1
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (782), (8131) imply:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8135) op(e2, e1) = all_10_3
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (795), (8131) imply:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8136) op(e4, e2) = all_10_28
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (38), (8131) imply:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8137) op(e4, e1) = e2
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (394) gives:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8138) all_12_1 = e2
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (8138) imply:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8139) all_4_2 = e2
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8132), (8139) imply:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8140) $false
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8140) is inconsistent.
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8141) all_12_3 = e2 | all_12_7 = e2 | all_12_13 = e2 |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_21 = e2
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (372) gives:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8142) all_12_9 = e0
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8129), (8142) imply:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8143) e2 = e0
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (8143) imply:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8144) $false
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8144) is inconsistent.
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8145) all_12_10 = e0 | all_12_11 = e0 | all_12_15 = e0 |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_23 = e0
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8103) gives:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8146) all_12_8 = e3
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (8079), (8146) are inconsistent by sub-proof
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #679.
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8147) all_12_14 = e3 | all_12_22 = e3
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7441) gives:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8148) all_8_17 = e3
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (590), (8148) imply:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8149) all_4_13 = e3
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (661), (8149) imply:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8150) all_12_14 = e3
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (690), (8149) imply:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8151) ~ (all_4_9 = e3)
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (53), (8149) imply:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8152) op(e3, all_4_14) = e2
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (780), (8149) imply:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8153) op(e3, e2) = all_10_17
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (52), (8149) imply:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8154) op(all_4_14, e3) = e1
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (809), (8149) imply:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8155) op(e1, e3) = all_10_42
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (369) gives:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8156) all_12_12 = e2
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (7897), (8156) are inconsistent by
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #516.
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8157) ~ (all_12_12 = e2)
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8158) all_12_13 = e2 | all_12_14 = e2 | all_12_15 = e2 |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_19 = e2
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8158) gives:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8159) all_12_13 = e2
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (662), (8159) imply:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8160) all_4_11 = e2
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8160) implies:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8161) all_4_11 = e2
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (775), (8161) imply:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8162) op(e2, e3) = all_10_16
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8005), (8161) imply:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8163) op(e4, e2) = e1
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (808), (8161) imply:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8164) op(e1, e2) = all_10_41
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8145) gives:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8165) all_12_10 = e0
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (7999), (8165) are inconsistent by sub-proof
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #326.
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8166) all_12_11 = e0 | all_12_15 = e0 | all_12_23 = e0
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (392) gives:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8167) all_12_1 = e0
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (8167) imply:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8168) all_4_2 = e0
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7976), (8168) imply:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8169) all_10_29 = e0
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (772), (8168) imply:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8170) op(e0, e3) = all_10_1
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (793), (8168) imply:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8171) op(e4, e0) = all_10_26
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (367) gives:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8172) all_12_12 = e0
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (8172) imply:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8173) all_4_9 = e0
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8173) implies:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8174) all_4_9 = e0
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7419), (8174) imply:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8175) all_10_44 = e0
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (682), (8174) imply:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8176) ~ (all_4_4 = e0)
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7410), (8174) imply:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8177) ~ (e4 = e0)
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8151), (8174) imply:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8178) ~ (e3 = e0)
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8109), (8174) imply:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8179) ~ (e1 = e0)
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8134), (8174) imply:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8180) op(e2, e0) = e1
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (807), (8174) imply:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8181) op(e1, e0) = all_10_40
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7883) gives:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8182) all_12_21 = e1
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (656), (8182) imply:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8183) all_4_18 = e1
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8183) implies:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8184) all_4_18 = e1
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (776), (8184) imply:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8185) op(e1, e3) = all_10_21
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8050), (8184) imply:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8186) op(e1, e2) = e3
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (813), (8184) imply:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8187) op(e0, e1) = all_10_46
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8099) gives:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8188) all_12_23 = e3
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (414), (8188) imply:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8189) all_4_22 = e3
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8189) implies:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8190) all_4_22 = e3
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7415), (8190) imply:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8191) op(e3, e4) = e1
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (786), (8190) imply:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8192) op(e3, e1) = all_10_23
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (815), (8190) imply:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8193) op(e0, e3) = all_10_48
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (8190) imply:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8194) op(e0, e1) = e3
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8195) all_8_13 = e4
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (598), (8004), (8195) are inconsistent by
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #785.
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8196) all_8_13 = e3 | all_8_13 = e2 | all_8_13 = e1 |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_13 = e0
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (380) gives:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8197) all_12_6 = e3
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (8197) imply:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8198) all_4_4 = e3
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8198) implies:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8199) all_4_4 = e3
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (769), (8199) imply:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8200) op(e3, e4) = all_10_10
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8125), (8199) imply:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8201) op(e3, e1) = e4
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (802), (8199) imply:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8202) op(e2, e3) = all_10_35
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (31), (8199) imply:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8203) op(e2, e4) = e3
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8126), (8199) imply:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8204) op(e1, e3) = e2
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8166) gives:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8205) all_12_11 = e0
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (454), (8205) imply:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8206) all_4_14 = e0
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8206) implies:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8207) all_4_14 = e0
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8154), (8207) imply:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8208) op(e0, e3) = e1
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (784), (8207) imply:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8209) op(e0, e1) = all_10_13
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8152), (8207) imply:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8210) op(e3, e0) = e2
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (805), (8207) imply:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8211) op(e2, e0) = all_10_38
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (28), (8207) imply:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8212) op(e2, e1) = e0
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_46,
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_13, e1, e0, simplifying with (8187), (8209)
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8213) all_10_13 = all_10_46
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_13, e1, e0, simplifying with (8194), (8209)
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8214) all_10_13 = e3
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_48,
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_1, e3, e0, simplifying with (8170), (8193)
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8215) all_10_1 = all_10_48
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_10_1,
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (8170), (8208) gives:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8216) all_10_1 = e1
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4,
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_14, e0, e1, simplifying with (7418), (8069)
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8217) all_10_14 = e4
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_40,
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_14, e0, e1, simplifying with (8069), (8181)
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8218) all_10_14 = all_10_40
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_43,
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_18, e1, e1, simplifying with (8113), (8114)
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8219) all_10_18 = all_10_43
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_18, e1, e1, simplifying with (8113), (8115)
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8220) all_10_18 = e1
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_41,
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_2, e2, e1, simplifying with (8127), (8164)
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8221) all_10_2 = all_10_41
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_10_2,
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (8127), (8186) gives:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8222) all_10_2 = e3
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_42,
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_21, e3, e1, simplifying with (8155), (8185)
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8223) all_10_21 = all_10_42
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_21, e3, e1, simplifying with (8185), (8204)
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8224) all_10_21 = e2
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_38,
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_9, e0, e2, simplifying with (8051), (8211)
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8225) all_10_9 = all_10_38
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_10_9,
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e2, simplifying with (8051), (8180) gives:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8226) all_10_9 = e1
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_39,
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_3, e1, e2, simplifying with (8070), (8135)
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8227) all_10_3 = all_10_39
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_10_3,
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (8135), (8212) gives:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8228) all_10_3 = e0
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_37,
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_12, e2, e2, simplifying with (8085), (8086)
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8229) all_10_12 = all_10_37
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_12, e2, e2, simplifying with (8085), (8087)
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8230) all_10_12 = e2
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4,
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_16, e3, e2, simplifying with (7973), (8162)
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8231) all_10_16 = e4
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_35,
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_16, e3, e2, simplifying with (8162), (8202)
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8232) all_10_16 = all_10_35
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_36, e4, e2, simplifying with (7994), (8203)
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8233) all_10_36 = e3
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_32, e0, e3, simplifying with (7993), (8210)
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8234) all_10_32 = e2
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_30,
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_23, e1, e3, simplifying with (8032), (8192)
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8235) all_10_23 = all_10_30
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4,
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_23, e1, e3, simplifying with (8192), (8201)
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8236) all_10_23 = e4
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_17, e2, e3, simplifying with (7971), (8153)
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8237) all_10_17 = e0
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_34,
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_17, e2, e3, simplifying with (8052), (8153)
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8238) all_10_17 = all_10_34
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_31,
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_6, e3, e3, simplifying with (8016), (8017)
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8239) all_10_6 = all_10_31
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_10_6,
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (8016), (8018) gives:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8240) all_10_6 = e3
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_33,
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_10, e4, e3, simplifying with (8007), (8200)
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8241) all_10_10 = all_10_33
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_10, e4, e3, simplifying with (8191), (8200)
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8242) all_10_10 = e1
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_26, e0, e4, simplifying with (7992), (8171)
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8243) all_10_26 = e3
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_27,
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_8, e1, e4, simplifying with (8006), (8128)
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8244) all_10_8 = all_10_27
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_10_8,
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e4, simplifying with (8006), (8137) gives:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8245) all_10_8 = e2
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_28, e2, e4, simplifying with (8136), (8163)
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8246) all_10_28 = e1
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8215), (8216) imply:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8247) all_10_48 = e1
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8221), (8222) imply:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8248) all_10_41 = e3
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8248) implies:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8249) all_10_41 = e3
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8227), (8228) imply:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8250) all_10_39 = e0
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8239), (8240) imply:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8251) all_10_31 = e3
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8251) implies:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8252) all_10_31 = e3
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8244), (8245) imply:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8253) all_10_27 = e2
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8225), (8226) imply:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8254) all_10_38 = e1
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8254) implies:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8255) all_10_38 = e1
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8241), (8242) imply:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8256) all_10_33 = e1
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8229), (8230) imply:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8257) all_10_37 = e2
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8257) implies:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8258) all_10_37 = e2
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8213), (8214) imply:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8259) all_10_46 = e3
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8259) implies:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8260) all_10_46 = e3
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8217), (8218) imply:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8261) all_10_40 = e4
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8231), (8232) imply:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8262) all_10_35 = e4
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8262) implies:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8263) all_10_35 = e4
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8237), (8238) imply:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8264) all_10_34 = e0
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8264) implies:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8265) all_10_34 = e0
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8219), (8220) imply:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8266) all_10_43 = e1
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8266) implies:
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8267) all_10_43 = e1
% 179.05/26.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8223), (8224) imply:
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8268) all_10_42 = e2
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8268) implies:
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8269) all_10_42 = e2
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8235), (8236) imply:
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8270) all_10_30 = e4
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (330), (834), (7892), (7906), (7926), (8169),
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8175), (8233), (8234), (8243), (8246), (8247),
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8249), (8250), (8252), (8253), (8255), (8256),
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8258), (8260), (8261), (8263), (8265), (8267),
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8269), (8270) are inconsistent by sub-proof #758.
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8271) ~ (all_12_11 = e0)
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (454), (8271) imply:
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8272) ~ (all_4_14 = e0)
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (14), (431), (435), (439), (568), (598),
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (661), (686), (716), (751), (6383), (7409),
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7433), (7896), (7915), (7931), (8067), (8084),
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8147), (8176), (8196), (8272) are inconsistent by
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #317.
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8273) ~ (all_12_6 = e3)
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (665), (8273) imply:
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8274) ~ (all_4_4 = e3)
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (568), (7896), (7931), (8067), (8176), (8274) are
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #554.
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8275) all_12_24 = e3
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (817), (8275) imply:
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8276) e3 = e0
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (8276) imply:
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8277) $false
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8277) is inconsistent.
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8278) all_12_22 = e1 | all_12_23 = e1 | all_12_24 = e1
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12), (414), (817), (6383), (8112), (8278)
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #344.
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8279) ~ (all_12_12 = e0)
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (446), (8279) imply:
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8280) ~ (all_4_9 = e0)
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (29), (570), (7449), (8109), (8133), (8134),
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8151), (8280), (function-axioms) are inconsistent
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #551.
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8281) ~ (all_12_1 = e0)
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (666), (8281) imply:
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8282) ~ (all_4_2 = e0)
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8094) gives:
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8283) all_8_2 = e1
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (574), (7955), (8012), (8119), (8132), (8282) are
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #542.
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8284) all_8_2 = e0
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (7984), (8284) are inconsistent by
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #750.
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8285) ~ (all_12_13 = e2)
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (662), (8285) imply:
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8286) ~ (all_4_11 = e2)
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8141) gives:
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8287) all_12_3 = e2
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8010), (8287) imply:
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8288) e3 = e2
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8150), (8288) imply:
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8289) all_12_14 = e2
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (14), (6383), (8147), (8289) are
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #318.
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8290) ~ (all_12_3 = e2)
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8291) all_12_7 = e2 | all_12_13 = e2 | all_12_21 = e2
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7446) gives:
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8292) all_8_16 = e3
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (580), (8292) imply:
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8293) all_4_11 = e3
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8293) implies:
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8294) all_4_11 = e3
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (662), (8294) imply:
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8295) all_12_13 = e3
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (13), (656), (7899), (7979), (8291), (8295)
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #316.
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8296) all_8_16 = e2 | all_8_16 = e1 | all_8_16 = e0
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8296) gives:
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8297) all_8_16 = e2
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (580), (8286), (8297) are inconsistent by
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #756.
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8298) all_8_16 = e1 | all_8_16 = e0
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (570), (580), (689), (7449), (7897), (8109),
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8110), (8151), (8298) are inconsistent by
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #727.
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8299) all_8_17 = e2 | all_8_17 = e1 | all_8_17 = e0
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (590), (7990), (8082), (8123), (8299) are
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #547.
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8300) ~ (all_12_9 = e2)
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (494), (8300) imply:
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8301) ~ (all_4_10 = e2)
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (394), (574), (594), (666), (702), (6390),
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7953), (7955), (7968), (8012), (8031), (8119),
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8121), (8301), (function-axioms) are inconsistent
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #315.
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8302) ~ (all_12_4 = e1)
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (498), (8302) imply:
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8303) ~ (all_4_5 = e1)
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (7984), (8094), (8303) are inconsistent by
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #641.
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8304) all_10_69 = e0
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (560), (826), (8304) are inconsistent by sub-proof
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #430.
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8305) all_10_67 = e1 | all_10_72 = e0
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (448), (532), (825), (8068), (8305) are
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #393.
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8306) ~ (all_12_18 = e1)
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (658), (8306) imply:
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8307) ~ (all_4_21 = e1)
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8059) gives:
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8308) all_8_14 = e2
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (607), (8049), (8308) are inconsistent by
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #674.
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8309) all_8_14 = e1 | all_8_14 = e0
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (607), (825), (8307), (8309) are inconsistent by
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #479.
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8310) all_8_5 = e0
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (566), (7981), (8310) are inconsistent by
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #659.
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8311) all_10_61 = e2 | all_10_66 = e1 | all_10_71 = e0
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8311) gives:
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8312) all_10_61 = e2
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7977), (8312) imply:
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8313) e2 = e0
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (8313) imply:
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8314) $false
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8314) is inconsistent.
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8315) all_10_66 = e1 | all_10_71 = e0
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (547), (823), (8002), (8315) are
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #420.
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8316) ~ (all_12_10 = e4)
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (663), (8316) imply:
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8317) ~ (all_4_12 = e4)
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7998) gives:
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8318) all_12_5 = e4
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (6388), (8318) are inconsistent by
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #566.
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8319) all_12_10 = e4 | all_12_17 = e4
% 179.05/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (470), (663), (7403), (8317), (8319) are
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #627.
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8320) ~ (all_12_16 = e3)
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (659), (8320) imply:
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8321) ~ (all_4_17 = e3)
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7428) gives:
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8322) all_8_4 = e3
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (603), (8321), (8322) are inconsistent by
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #711.
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8323) all_8_4 = e2 | all_8_4 = e1 | all_8_4 = e0
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (603), (821), (6389), (7902), (7963),
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8323), (function-axioms) are inconsistent by
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #502.
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | (8324) ~ (all_10_50 = e4)
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | (8325) all_10_51 = e3 | all_10_52 = e2 | all_10_53 = e1 |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | all_10_54 = e0
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (508), (8324) imply:
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | (8326) ~ (all_4_0 = e4)
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | (8327) all_8_0 = e4
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (564), (8326), (8327) are inconsistent by
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #706.
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | (8328) ~ (all_8_0 = e4)
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | (8329) all_8_0 = e3 | all_8_0 = e2 | all_8_0 = e1 |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | all_8_0 = e0
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (406) gives:
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (8330) all_12_0 = e4
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (8330) imply:
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (8331) all_4_0 = e4
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8326), (8331) imply:
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (8332) $false
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8332) is inconsistent.
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (8333) ~ (all_12_0 = e4)
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (8334) all_12_1 = e4 | all_12_4 = e4 | all_12_9 = e4 |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_16 = e4
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (405) gives:
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8335) all_12_0 = e4
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (8335) imply:
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8336) all_4_0 = e4
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8326), (8336) imply:
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8337) $false
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8337) is inconsistent.
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8338) all_12_2 = e4 | all_12_6 = e4 | all_12_12 = e4 |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_20 = e4
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8339) all_8_10 = e4
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (568), (8339) imply:
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8340) all_4_4 = e4
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8340) implies:
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8341) all_4_4 = e4
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (463), (8341) imply:
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8342) all_10_52 = e4
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (675), (8341) imply:
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8343) ~ (all_4_1 = e4)
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (8341) imply:
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8344) ~ (all_4_6 = e4)
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8344) implies:
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8345) ~ (all_4_6 = e4)
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (682), (8341) imply:
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8346) ~ (all_4_9 = e4)
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (769), (8341) imply:
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8347) op(e4, e4) = all_10_10
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_0,
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_10, e4, e4, simplifying with (41), (8347)
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8348) all_10_10 = all_4_0
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (391) gives:
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8349) all_12_2 = e4
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (8343), (8349) are inconsistent by
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #695.
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8350) all_12_3 = e4 | all_12_5 = e4 | all_12_10 = e4 |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_17 = e4
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (396) gives:
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8351) all_12_1 = e4
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (8351) imply:
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8352) all_4_2 = e4
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (35), (66), (399), (404), (506), (564),
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (671), (697), (830), (7412), (7894), (8329),
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8352), (function-axioms) are inconsistent by
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #507.
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8353) all_12_3 = e4 | all_12_7 = e4 | all_12_13 = e4 |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_21 = e4
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8353) gives:
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8354) all_12_3 = e4
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (482), (8354) imply:
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8355) all_4_3 = e4
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (707), (8355) imply:
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8356) ~ (all_4_7 = e4)
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (708), (8355) imply:
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8357) ~ (all_4_12 = e4)
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8357) implies:
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8358) ~ (all_4_12 = e4)
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (709), (8355) imply:
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8359) ~ (all_4_19 = e4)
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (63), (8355) imply:
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8360) op(e4, e4) = e3
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (376) gives:
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8361) all_12_9 = e4
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (8361) imply:
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8362) all_4_10 = e4
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8362) implies:
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8363) all_4_10 = e4
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (56), (8363) imply:
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8364) op(e4, all_4_9) = e1
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (782), (8363) imply:
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8365) op(e4, e1) = all_10_3
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (795), (8363) imply:
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8366) op(e4, e4) = all_10_28
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (38), (8363) imply:
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8367) op(e4, e1) = e4
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_10_3,
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e4, simplifying with (8365), (8367) gives:
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8368) all_10_3 = e4
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_0,
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_28, e4, e4, simplifying with (41), (8366)
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8369) all_10_28 = all_4_0
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_28, e4, e4, simplifying with (8360), (8366)
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8370) all_10_28 = e3
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8369), (8370) imply:
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8371) all_4_0 = e3
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (667), (8371) imply:
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8372) ~ (all_4_1 = e3)
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8372) implies:
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8373) ~ (all_4_1 = e3)
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (424), (512), (534), (820), (7410), (8325),
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8342), (8364), (8367), (8373), (function-axioms)
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #340.
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8374) ~ (all_12_9 = e4)
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (494), (8374) imply:
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8375) ~ (all_4_10 = e4)
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (470), (478), (482), (494), (498), (659), (663),
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (666), (697), (6387), (6388), (7403), (7413),
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8334), (8350), (8358), (8375) are inconsistent by
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #314.
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8376) all_12_7 = e4 | all_12_13 = e4 | all_12_21 = e4
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (462), (656), (662), (5084), (7411), (8345),
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8376) are inconsistent by sub-proof #405.
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8377) ~ (all_8_10 = e4)
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (568), (8377) imply:
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8378) ~ (all_4_4 = e4)
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8338) gives:
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8379) all_12_2 = e4
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (8379) imply:
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8380) all_4_1 = e4
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8380) implies:
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8381) all_4_1 = e4
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (678), (8381) imply:
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8382) ~ (all_4_3 = e4)
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8382) implies:
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8383) ~ (all_4_3 = e4)
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (35), (66), (399), (404), (506), (564),
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (830), (7412), (7894), (8326), (8329), (8383),
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #637.
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8384) all_12_6 = e4 | all_12_12 = e4 | all_12_20 = e4
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12), (13), (40), (41), (56), (57), (64),
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (396), (446), (463), (494), (498), (512), (534),
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (659), (665), (666), (676), (770), (772), (795),
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6387), (7413), (7891), (7893), (7896), (8325),
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8334), (8378), (8384), (function-axioms) are
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #341.
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | (8385) all_8_20 = e1 | all_8_20 = e0
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (572), (820), (7884), (8385) are inconsistent by
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #633.
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.82 | | | | | | | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.82 | | | | | | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | | | | | End of split
% 179.11/26.82 | | | | | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | | | | End of split
% 179.11/26.82 | | | | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | | | End of split
% 179.11/26.82 | | | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | | End of split
% 179.11/26.82 | | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | End of split
% 179.11/26.82 | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | End of split
% 179.11/26.82 | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | Case 2:
% 179.11/26.82 | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | (8386) ~ (all_8_19 = e4)
% 179.11/26.82 | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | REDUCE: (551), (8386) imply:
% 179.11/26.82 | | | | | | | | | | | | (8387) ~ (all_4_23 = e4)
% 179.11/26.82 | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | BETA: splitting (366) gives:
% 179.11/26.82 | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | Case 1:
% 179.11/26.82 | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | (8388) all_12_16 = e4
% 179.11/26.82 | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | COMBINE_EQS: (659), (8388) imply:
% 179.11/26.82 | | | | | | | | | | | | | (8389) all_4_17 = e4
% 179.11/26.82 | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | COMBINE_EQS: (488), (8389) imply:
% 179.11/26.82 | | | | | | | | | | | | | (8390) all_10_70 = e4
% 179.11/26.82 | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | REDUCE: (674), (8389) imply:
% 179.11/26.82 | | | | | | | | | | | | | (8391) ~ (all_4_0 = e4)
% 179.11/26.82 | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | REDUCE: (703), (8389) imply:
% 179.11/26.82 | | | | | | | | | | | | | (8392) ~ (all_4_2 = e4)
% 179.11/26.82 | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | REDUCE: (746), (8389) imply:
% 179.11/26.82 | | | | | | | | | | | | | (8393) ~ (all_4_10 = e4)
% 179.11/26.82 | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | REDUCE: (759), (8389) imply:
% 179.11/26.82 | | | | | | | | | | | | | (8394) ~ (all_4_23 = e4)
% 179.11/26.82 | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | REDUCE: (50), (8389) imply:
% 179.11/26.82 | | | | | | | | | | | | | (8395) op(all_4_16, e4) = e4
% 179.11/26.82 | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | REDUCE: (49), (8389) imply:
% 179.11/26.82 | | | | | | | | | | | | | (8396) op(e4, all_4_16) = e0
% 179.11/26.82 | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | REDUCE: (787), (8389) imply:
% 179.11/26.82 | | | | | | | | | | | | | (8397) op(e4, e0) = all_10_4
% 179.11/26.82 | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | REDUCE: (796), (8389) imply:
% 179.11/26.82 | | | | | | | | | | | | | (8398) op(e4, e4) = all_10_29
% 179.11/26.82 | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | REDUCE: (37), (8389) imply:
% 179.11/26.82 | | | | | | | | | | | | | (8399) op(e4, e0) = e4
% 179.11/26.82 | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_10_4,
% 179.11/26.82 | | | | | | | | | | | | | e0, e4, simplifying with (8397), (8399) gives:
% 179.11/26.82 | | | | | | | | | | | | | (8400) all_10_4 = e4
% 179.11/26.82 | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_0,
% 179.11/26.82 | | | | | | | | | | | | | all_10_29, e4, e4, simplifying with (41), (8398)
% 179.11/26.82 | | | | | | | | | | | | | gives:
% 179.11/26.82 | | | | | | | | | | | | | (8401) all_10_29 = all_4_0
% 179.11/26.82 | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_20,
% 179.11/26.82 | | | | | | | | | | | | | e4, e4, all_4_16, simplifying with (771), (8395)
% 179.11/26.82 | | | | | | | | | | | | | gives:
% 179.11/26.82 | | | | | | | | | | | | | (8402) all_10_20 = e4
% 179.11/26.82 | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | REF_CLOSE: (5), (9), (11), (12), (14), (21), (23), (29),
% 179.11/26.82 | | | | | | | | | | | | | (31), (35), (36), (38), (39), (40), (41), (51),
% 179.11/26.82 | | | | | | | | | | | | | (57), (62), (63), (64), (65), (66), (227), (242),
% 179.11/26.82 | | | | | | | | | | | | | (243), (328), (329), (360), (361), (371), (379),
% 179.11/26.82 | | | | | | | | | | | | | (384), (391), (395), (396), (398), (400), (401),
% 179.11/26.82 | | | | | | | | | | | | | (402), (403), (404), (405), (424), (430), (446),
% 179.11/26.82 | | | | | | | | | | | | | (462), (463), (482), (486), (498), (500), (506),
% 179.11/26.82 | | | | | | | | | | | | | (508), (512), (516), (528), (534), (564), (572),
% 179.11/26.82 | | | | | | | | | | | | | (574), (580), (656), (657), (660), (661), (662),
% 179.11/26.82 | | | | | | | | | | | | | (665), (666), (667), (669), (670), (671), (672),
% 179.11/26.82 | | | | | | | | | | | | | (673), (676), (677), (678), (682), (683), (685),
% 179.11/26.82 | | | | | | | | | | | | | (688), (698), (701), (705), (710), (712), (717),
% 179.11/26.82 | | | | | | | | | | | | | (768), (769), (774), (777), (793), (795), (820),
% 179.11/26.82 | | | | | | | | | | | | | (830), (5084), (6387), (6389), (6390), (6391),
% 179.11/26.82 | | | | | | | | | | | | | (6404), (8387), (8390), (8391), (8392), (8393),
% 179.11/26.82 | | | | | | | | | | | | | (8395), (8396), (8399), (function-axioms) are
% 179.11/26.82 | | | | | | | | | | | | | inconsistent by sub-proof #568.
% 179.11/26.82 | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | Case 2:
% 179.11/26.82 | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | (8403) all_12_17 = e4 | all_12_18 = e4 | all_12_19 = e4 |
% 179.11/26.82 | | | | | | | | | | | | | all_12_24 = e4
% 179.11/26.82 | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | BETA: splitting (8403) gives:
% 179.11/26.82 | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | Case 1:
% 179.11/26.82 | | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | | (8404) all_12_17 = e4
% 179.11/26.82 | | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | | COMBINE_EQS: (470), (8404) imply:
% 179.11/26.82 | | | | | | | | | | | | | | (8405) all_4_19 = e4
% 179.11/26.82 | | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | | REDUCE: (7403), (8405) imply:
% 179.11/26.82 | | | | | | | | | | | | | | (8406) $false
% 179.11/26.82 | | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | | CLOSE: (8406) is inconsistent.
% 179.11/26.82 | | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | Case 2:
% 179.11/26.82 | | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | | (8407) all_12_18 = e4 | all_12_19 = e4 | all_12_24 = e4
% 179.11/26.82 | | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | | BETA: splitting (8407) gives:
% 179.11/26.82 | | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | | Case 1:
% 179.11/26.82 | | | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | | | (8408) all_12_18 = e4
% 179.11/26.82 | | | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | | | COMBINE_EQS: (658), (8408) imply:
% 179.11/26.82 | | | | | | | | | | | | | | | (8409) all_4_21 = e4
% 179.11/26.82 | | | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | | | REDUCE: (6395), (8409) imply:
% 179.11/26.82 | | | | | | | | | | | | | | | (8410) op(e4, e4) = e0
% 179.11/26.82 | | | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | | | REDUCE: (6393), (8409) imply:
% 179.11/26.82 | | | | | | | | | | | | | | | (8411) op(e4, e4) = e2
% 179.11/26.82 | | | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e2, e4,
% 179.11/26.82 | | | | | | | | | | | | | | | e4, simplifying with (8410), (8411) gives:
% 179.11/26.82 | | | | | | | | | | | | | | | (8412) e2 = e0
% 179.11/26.82 | | | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | | | REDUCE: (6), (8412) imply:
% 179.11/26.82 | | | | | | | | | | | | | | | (8413) $false
% 179.11/26.82 | | | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | | | CLOSE: (8413) is inconsistent.
% 179.11/26.82 | | | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | | Case 2:
% 179.11/26.82 | | | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | | | (8414) all_12_19 = e4 | all_12_24 = e4
% 179.11/26.82 | | | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | | | REF_CLOSE: (11), (430), (817), (8387), (8414) are
% 179.11/26.82 | | | | | | | | | | | | | | | inconsistent by sub-proof #500.
% 179.11/26.82 | | | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | | End of split
% 179.11/26.82 | | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | | End of split
% 179.11/26.82 | | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | | End of split
% 179.11/26.82 | | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | | End of split
% 179.11/26.82 | | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | | End of split
% 179.11/26.82 | | | | | | | | | |
% 179.11/26.82 | | | | | | | | | End of split
% 179.11/26.82 | | | | | | | | |
% 179.11/26.82 | | | | | | | | End of split
% 179.11/26.82 | | | | | | | |
% 179.11/26.82 | | | | | | | End of split
% 179.11/26.82 | | | | | | |
% 179.11/26.82 | | | | | | Case 2:
% 179.11/26.82 | | | | | | |
% 179.11/26.82 | | | | | | | (8415) all_12_23 = e4 | all_12_24 = e4
% 179.11/26.82 | | | | | | |
% 179.11/26.82 | | | | | | | BETA: splitting (8415) gives:
% 179.11/26.82 | | | | | | |
% 179.11/26.82 | | | | | | | Case 1:
% 179.11/26.82 | | | | | | | |
% 179.11/26.82 | | | | | | | | (8416) all_12_23 = e4
% 179.11/26.82 | | | | | | | |
% 179.11/26.82 | | | | | | | | REF_CLOSE: (414), (2875), (8416) are inconsistent by sub-proof
% 179.11/26.82 | | | | | | | | #460.
% 179.11/26.82 | | | | | | | |
% 179.11/26.82 | | | | | | | Case 2:
% 179.11/26.82 | | | | | | | |
% 179.11/26.82 | | | | | | | | (8417) all_12_24 = e4
% 179.11/26.82 | | | | | | | |
% 179.11/26.82 | | | | | | | | COMBINE_EQS: (817), (8417) imply:
% 179.11/26.82 | | | | | | | | (8418) e4 = e0
% 179.11/26.82 | | | | | | | |
% 179.11/26.82 | | | | | | | | REDUCE: (11), (8418) imply:
% 179.11/26.82 | | | | | | | | (8419) $false
% 179.11/26.82 | | | | | | | |
% 179.11/26.82 | | | | | | | | CLOSE: (8419) is inconsistent.
% 179.11/26.82 | | | | | | | |
% 179.11/26.82 | | | | | | | End of split
% 179.11/26.82 | | | | | | |
% 179.11/26.82 | | | | | | End of split
% 179.11/26.82 | | | | | |
% 179.11/26.82 | | | | | End of split
% 179.11/26.82 | | | | |
% 179.11/26.82 | | | | End of split
% 179.11/26.82 | | | |
% 179.11/26.82 | | | End of split
% 179.11/26.82 | | |
% 179.11/26.82 | | End of split
% 179.11/26.82 | |
% 179.11/26.82 | Case 2:
% 179.11/26.82 | |
% 179.11/26.82 | | (8420) ~ (all_12_24 = e0)
% 179.11/26.82 | | (8421) (all_12_16 = e0 | all_12_17 = e0 | all_12_18 = e0 | all_12_19 =
% 179.11/26.82 | | e0) & (all_12_20 = e0 | all_12_21 = e0 | all_12_22 = e0 |
% 179.11/26.82 | | all_12_23 = e0)
% 179.11/26.82 | |
% 179.11/26.82 | | ALPHA: (8421) implies:
% 179.11/26.82 | | (8422) all_12_20 = e0 | all_12_21 = e0 | all_12_22 = e0 | all_12_23 = e0
% 179.11/26.82 | | (8423) all_12_16 = e0 | all_12_17 = e0 | all_12_18 = e0 | all_12_19 = e0
% 179.11/26.82 | |
% 179.11/26.82 | | REDUCE: (410), (8420) imply:
% 179.11/26.82 | | (8424) ~ (all_4_24 = e0)
% 179.11/26.82 | |
% 179.11/26.82 | | BETA: splitting (219) gives:
% 179.11/26.82 | |
% 179.11/26.82 | | Case 1:
% 179.11/26.82 | | |
% 179.11/26.82 | | | (8425) all_8_24 = e4
% 179.11/26.82 | | |
% 179.11/26.82 | | | COMBINE_EQS: (612), (8425) imply:
% 179.11/26.82 | | | (8426) all_4_24 = e4
% 179.11/26.82 | | |
% 179.11/26.82 | | | SIMP: (8426) implies:
% 179.11/26.82 | | | (8427) all_4_24 = e4
% 179.11/26.82 | | |
% 179.11/26.82 | | | REDUCE: (696), (8427) imply:
% 179.11/26.82 | | | (8428) ~ (all_4_16 = e4)
% 179.11/26.82 | | |
% 179.11/26.82 | | | REDUCE: (760), (8427) imply:
% 179.11/26.82 | | | (8429) ~ (all_4_17 = e4)
% 179.11/26.82 | | |
% 179.11/26.82 | | | REDUCE: (721), (8427) imply:
% 179.11/26.82 | | | (8430) ~ (all_4_18 = e4)
% 179.11/26.82 | | |
% 179.11/26.82 | | | REDUCE: (763), (8427) imply:
% 179.11/26.82 | | | (8431) ~ (all_4_19 = e4)
% 179.11/26.82 | | |
% 179.11/26.82 | | | REDUCE: (765), (8427) imply:
% 179.11/26.82 | | | (8432) ~ (all_4_21 = e4)
% 179.11/26.82 | | |
% 179.11/26.82 | | | REDUCE: (756), (8427) imply:
% 179.11/26.82 | | | (8433) ~ (all_4_22 = e4)
% 179.11/26.82 | | |
% 179.11/26.82 | | | REDUCE: (766), (8427) imply:
% 179.11/26.82 | | | (8434) ~ (all_4_23 = e4)
% 179.11/26.82 | | |
% 179.11/26.82 | | | REDUCE: (42), (8427) imply:
% 179.11/26.82 | | | (8435) op(e4, e4) = e0
% 179.11/26.82 | | |
% 179.11/26.82 | | | GROUND_INST: instantiating (function-axioms) with all_4_0, e0, e4, e4,
% 179.11/26.82 | | | simplifying with (41), (8435) gives:
% 179.11/26.82 | | | (8436) all_4_0 = e0
% 179.11/26.82 | | |
% 179.11/26.82 | | | COMBINE_EQS: (508), (8436) imply:
% 179.11/26.82 | | | (8437) all_10_50 = e0
% 179.11/26.82 | | |
% 179.11/26.82 | | | COMBINE_EQS: (506), (8436) imply:
% 179.11/26.82 | | | (8438) all_12_0 = e0
% 179.11/26.82 | | |
% 179.11/26.82 | | | REDUCE: (667), (8436) imply:
% 179.11/26.82 | | | (8439) ~ (all_4_1 = e0)
% 179.11/26.82 | | |
% 179.11/26.82 | | | SIMP: (8439) implies:
% 179.11/26.82 | | | (8440) ~ (all_4_1 = e0)
% 179.11/26.82 | | |
% 179.11/26.82 | | | REDUCE: (671), (8436) imply:
% 179.11/26.82 | | | (8441) ~ (all_4_2 = e0)
% 179.11/26.82 | | |
% 179.11/26.82 | | | SIMP: (8441) implies:
% 179.11/26.82 | | | (8442) ~ (all_4_2 = e0)
% 179.11/26.82 | | |
% 179.11/26.82 | | | REDUCE: (668), (8436) imply:
% 179.11/26.82 | | | (8443) ~ (all_4_4 = e0)
% 179.11/26.82 | | |
% 179.11/26.82 | | | SIMP: (8443) implies:
% 179.11/26.82 | | | (8444) ~ (all_4_4 = e0)
% 179.11/26.82 | | |
% 179.11/26.82 | | | REDUCE: (673), (8436) imply:
% 179.11/26.82 | | | (8445) ~ (all_4_10 = e0)
% 179.11/26.82 | | |
% 179.11/26.82 | | | SIMP: (8445) implies:
% 179.11/26.82 | | | (8446) ~ (all_4_10 = e0)
% 179.11/26.82 | | |
% 179.11/26.82 | | | REDUCE: (670), (8436) imply:
% 179.11/26.82 | | | (8447) ~ (all_4_16 = e0)
% 179.11/26.82 | | |
% 179.11/26.82 | | | SIMP: (8447) implies:
% 179.11/26.82 | | | (8448) ~ (all_4_16 = e0)
% 179.11/26.82 | | |
% 179.11/26.82 | | | REDUCE: (674), (8436) imply:
% 179.11/26.82 | | | (8449) ~ (all_4_17 = e0)
% 179.11/26.82 | | |
% 179.11/26.82 | | | SIMP: (8449) implies:
% 179.11/26.82 | | | (8450) ~ (all_4_17 = e0)
% 179.11/26.82 | | |
% 179.11/26.82 | | | BETA: splitting (239) gives:
% 179.11/26.82 | | |
% 179.11/26.82 | | | Case 1:
% 179.11/26.82 | | | |
% 179.11/26.82 | | | | (8451) all_8_4 = e4
% 179.11/26.82 | | | |
% 179.11/26.82 | | | | REF_CLOSE: (603), (8429), (8451) are inconsistent by sub-proof #787.
% 179.11/26.82 | | | |
% 179.11/26.82 | | | Case 2:
% 179.11/26.82 | | | |
% 179.11/26.82 | | | | (8452) ~ (all_8_4 = e4)
% 179.11/26.82 | | | | (8453) all_8_4 = e3 | all_8_4 = e2 | all_8_4 = e1 | all_8_4 = e0
% 179.11/26.82 | | | |
% 179.11/26.82 | | | | BETA: splitting (223) gives:
% 179.11/26.82 | | | |
% 179.11/26.82 | | | | Case 1:
% 179.11/26.82 | | | | |
% 179.11/26.82 | | | | | (8454) all_8_20 = e4
% 179.11/26.82 | | | | |
% 179.11/26.82 | | | | | REF_CLOSE: (572), (8428), (8454) are inconsistent by sub-proof #313.
% 179.11/26.82 | | | | |
% 179.11/26.82 | | | | Case 2:
% 179.11/26.82 | | | | |
% 179.11/26.82 | | | | | (8455) ~ (all_8_20 = e4)
% 179.11/26.82 | | | | | (8456) all_8_20 = e3 | all_8_20 = e2 | all_8_20 = e1 | all_8_20 =
% 179.11/26.82 | | | | | e0
% 179.11/26.82 | | | | |
% 179.11/26.82 | | | | | BETA: splitting (328) gives:
% 179.11/26.82 | | | | |
% 179.11/26.82 | | | | | Case 1:
% 179.11/26.82 | | | | | |
% 179.11/26.82 | | | | | | (8457) all_10_50 = e4
% 179.11/26.82 | | | | | |
% 179.11/26.82 | | | | | | COMBINE_EQS: (8437), (8457) imply:
% 179.11/26.82 | | | | | | (8458) e4 = e0
% 179.11/26.82 | | | | | |
% 179.11/26.82 | | | | | | REDUCE: (11), (8458) imply:
% 179.11/26.82 | | | | | | (8459) $false
% 179.11/26.82 | | | | | |
% 179.11/26.82 | | | | | | CLOSE: (8459) is inconsistent.
% 179.11/26.82 | | | | | |
% 179.11/26.82 | | | | | Case 2:
% 179.11/26.82 | | | | | |
% 179.11/26.82 | | | | | | (8460) ~ (all_10_50 = e4)
% 179.11/26.82 | | | | | | (8461) all_10_55 = e3 | all_10_60 = e2 | all_10_65 = e1 |
% 179.11/26.82 | | | | | | all_10_70 = e0
% 179.11/26.82 | | | | | |
% 179.11/26.82 | | | | | | REDUCE: (8437), (8460) imply:
% 179.11/26.82 | | | | | | (8462) ~ (e4 = e0)
% 179.11/26.82 | | | | | |
% 179.11/26.82 | | | | | | BETA: splitting (329) gives:
% 179.11/26.82 | | | | | |
% 179.11/26.82 | | | | | | Case 1:
% 179.11/26.82 | | | | | | |
% 179.11/26.82 | | | | | | | (8463) all_10_50 = e4
% 179.11/26.82 | | | | | | |
% 179.11/26.82 | | | | | | | COMBINE_EQS: (8437), (8463) imply:
% 179.11/26.82 | | | | | | | (8464) e4 = e0
% 179.11/26.82 | | | | | | |
% 179.11/26.82 | | | | | | | REDUCE: (11), (8464) imply:
% 179.11/26.82 | | | | | | | (8465) $false
% 179.11/26.82 | | | | | | |
% 179.11/26.82 | | | | | | | CLOSE: (8465) is inconsistent.
% 179.11/26.82 | | | | | | |
% 179.11/26.82 | | | | | | Case 2:
% 179.11/26.82 | | | | | | |
% 179.11/26.82 | | | | | | | (8466) all_10_51 = e3 | all_10_52 = e2 | all_10_53 = e1 |
% 179.11/26.82 | | | | | | | all_10_54 = e0
% 179.11/26.82 | | | | | | |
% 179.11/26.82 | | | | | | | BETA: splitting (233) gives:
% 179.11/26.82 | | | | | | |
% 179.11/26.82 | | | | | | | Case 1:
% 179.11/26.82 | | | | | | | |
% 179.11/26.82 | | | | | | | | (8467) all_8_10 = e4
% 179.11/26.82 | | | | | | | |
% 179.11/26.82 | | | | | | | | COMBINE_EQS: (568), (8467) imply:
% 179.11/26.82 | | | | | | | | (8468) all_4_4 = e4
% 179.11/26.82 | | | | | | | |
% 179.11/26.82 | | | | | | | | SIMP: (8468) implies:
% 179.11/26.82 | | | | | | | | (8469) all_4_4 = e4
% 179.11/26.82 | | | | | | | |
% 179.11/26.82 | | | | | | | | COMBINE_EQS: (463), (8469) imply:
% 179.11/26.82 | | | | | | | | (8470) all_10_52 = e4
% 179.11/26.82 | | | | | | | |
% 179.11/26.82 | | | | | | | | COMBINE_EQS: (665), (8469) imply:
% 179.11/26.82 | | | | | | | | (8471) all_12_6 = e4
% 179.11/26.82 | | | | | | | |
% 179.11/26.82 | | | | | | | | REDUCE: (675), (8469) imply:
% 179.11/26.82 | | | | | | | | (8472) ~ (all_4_1 = e4)
% 179.11/26.82 | | | | | | | |
% 179.11/26.82 | | | | | | | | REDUCE: (682), (8469) imply:
% 179.11/26.82 | | | | | | | | (8473) ~ (all_4_9 = e4)
% 179.11/26.82 | | | | | | | |
% 179.11/26.82 | | | | | | | | SIMP: (8473) implies:
% 179.11/26.82 | | | | | | | | (8474) ~ (all_4_9 = e4)
% 179.11/26.82 | | | | | | | |
% 179.11/26.82 | | | | | | | | REDUCE: (686), (8469) imply:
% 179.11/26.82 | | | | | | | | (8475) ~ (all_4_14 = e4)
% 179.11/26.82 | | | | | | | |
% 179.11/26.82 | | | | | | | | SIMP: (8475) implies:
% 179.11/26.82 | | | | | | | | (8476) ~ (all_4_14 = e4)
% 179.11/26.82 | | | | | | | |
% 179.11/26.82 | | | | | | | | REDUCE: (62), (8469) imply:
% 179.11/26.82 | | | | | | | | (8477) op(e4, all_4_5) = e4
% 179.11/26.82 | | | | | | | |
% 179.11/26.82 | | | | | | | | REDUCE: (769), (8469) imply:
% 179.11/26.82 | | | | | | | | (8478) op(e4, e4) = all_10_10
% 179.11/26.82 | | | | | | | |
% 179.11/26.82 | | | | | | | | REDUCE: (61), (8469) imply:
% 179.11/26.82 | | | | | | | | (8479) op(all_4_5, e4) = e2
% 179.11/26.82 | | | | | | | |
% 179.11/26.82 | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_10_10,
% 179.11/26.82 | | | | | | | | e4, e4, simplifying with (8435), (8478) gives:
% 179.11/26.82 | | | | | | | | (8480) all_10_10 = e0
% 179.11/26.82 | | | | | | | |
% 179.11/26.82 | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_27, e4,
% 179.11/26.83 | | | | | | | | all_4_5, e4, simplifying with (794), (8477) gives:
% 179.11/26.83 | | | | | | | | (8481) all_10_27 = e4
% 179.11/26.83 | | | | | | | |
% 179.11/26.83 | | | | | | | | BETA: splitting (238) gives:
% 179.11/26.83 | | | | | | | |
% 179.11/26.83 | | | | | | | | Case 1:
% 179.11/26.83 | | | | | | | | |
% 179.11/26.83 | | | | | | | | | (8482) all_8_5 = e4
% 179.11/26.83 | | | | | | | | |
% 179.11/26.83 | | | | | | | | | REF_CLOSE: (566), (8472), (8482) are inconsistent by sub-proof
% 179.11/26.83 | | | | | | | | | #784.
% 179.11/26.83 | | | | | | | | |
% 179.11/26.83 | | | | | | | | Case 2:
% 179.11/26.83 | | | | | | | | |
% 179.11/26.83 | | | | | | | | | (8483) ~ (all_8_5 = e4)
% 179.11/26.83 | | | | | | | | | (8484) all_8_5 = e3 | all_8_5 = e2 | all_8_5 = e1 | all_8_5
% 179.11/26.83 | | | | | | | | | = e0
% 179.11/26.83 | | | | | | | | |
% 179.11/26.83 | | | | | | | | | BETA: splitting (242) gives:
% 179.11/26.83 | | | | | | | | |
% 179.11/26.83 | | | | | | | | | Case 1:
% 179.11/26.83 | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | (8485) all_8_1 = e4
% 179.11/26.83 | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | COMBINE_EQS: (574), (8485) imply:
% 179.11/26.83 | | | | | | | | | | (8486) all_4_2 = e4
% 179.11/26.83 | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | SIMP: (8486) implies:
% 179.11/26.83 | | | | | | | | | | (8487) all_4_2 = e4
% 179.11/26.83 | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | COMBINE_EQS: (500), (8487) imply:
% 179.11/26.83 | | | | | | | | | | (8488) all_10_55 = e4
% 179.11/26.83 | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | COMBINE_EQS: (666), (8487) imply:
% 179.11/26.83 | | | | | | | | | | (8489) all_12_1 = e4
% 179.11/26.83 | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | REDUCE: (701), (8487) imply:
% 179.11/26.83 | | | | | | | | | | (8490) ~ (all_4_5 = e4)
% 179.11/26.83 | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | SIMP: (8490) implies:
% 179.11/26.83 | | | | | | | | | | (8491) ~ (all_4_5 = e4)
% 179.11/26.83 | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | REDUCE: (702), (8487) imply:
% 179.11/26.83 | | | | | | | | | | (8492) ~ (all_4_10 = e4)
% 179.11/26.83 | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | SIMP: (8492) implies:
% 179.11/26.83 | | | | | | | | | | (8493) ~ (all_4_10 = e4)
% 179.11/26.83 | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | REDUCE: (64), (8487) imply:
% 179.11/26.83 | | | | | | | | | | (8494) op(e4, all_4_1) = e3
% 179.11/26.83 | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | REDUCE: (772), (8487) imply:
% 179.11/26.83 | | | | | | | | | | (8495) op(e4, e3) = all_10_1
% 179.11/26.83 | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | REDUCE: (793), (8487) imply:
% 179.11/26.83 | | | | | | | | | | (8496) op(e4, e4) = all_10_26
% 179.11/26.83 | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | REDUCE: (40), (8487) imply:
% 179.11/26.83 | | | | | | | | | | (8497) op(e4, e3) = e4
% 179.11/26.83 | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_10_1,
% 179.11/26.83 | | | | | | | | | | e3, e4, simplifying with (8495), (8497) gives:
% 179.11/26.83 | | | | | | | | | | (8498) all_10_1 = e4
% 179.11/26.83 | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 179.11/26.83 | | | | | | | | | | all_10_26, e4, e4, simplifying with (8435), (8496)
% 179.11/26.83 | | | | | | | | | | gives:
% 179.11/26.83 | | | | | | | | | | (8499) all_10_26 = e0
% 179.11/26.83 | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | BETA: splitting (240) gives:
% 179.11/26.83 | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | Case 1:
% 179.11/26.83 | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | (8500) all_8_3 = e4
% 179.11/26.83 | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | REF_CLOSE: (594), (8493), (8500) are inconsistent by
% 179.11/26.83 | | | | | | | | | | | sub-proof #789.
% 179.11/26.83 | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | Case 2:
% 179.11/26.83 | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | (8501) ~ (all_8_3 = e4)
% 179.11/26.83 | | | | | | | | | | | (8502) all_8_3 = e3 | all_8_3 = e2 | all_8_3 = e1 |
% 179.11/26.83 | | | | | | | | | | | all_8_3 = e0
% 179.11/26.83 | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | BETA: splitting (376) gives:
% 179.11/26.83 | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | Case 1:
% 179.11/26.83 | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | (8503) all_12_9 = e4
% 179.11/26.83 | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | REF_CLOSE: (494), (8493), (8503) are inconsistent by
% 179.11/26.83 | | | | | | | | | | | | sub-proof #506.
% 179.11/26.83 | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | Case 2:
% 179.11/26.83 | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | (8504) all_12_10 = e4 | all_12_11 = e4 | all_12_15 = e4 |
% 179.11/26.83 | | | | | | | | | | | | all_12_23 = e4
% 179.11/26.83 | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | BETA: splitting (404) gives:
% 179.11/26.83 | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | Case 1:
% 179.11/26.83 | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | (8505) all_12_0 = e3
% 179.11/26.83 | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | REF_CLOSE: (8), (8438), (8505) are inconsistent by sub-proof
% 179.11/26.83 | | | | | | | | | | | | | #312.
% 179.11/26.83 | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | Case 2:
% 179.11/26.83 | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | (8506) all_12_1 = e3 | all_12_4 = e3 | all_12_9 = e3 |
% 179.11/26.83 | | | | | | | | | | | | | all_12_16 = e3
% 179.11/26.83 | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | BETA: splitting (235) gives:
% 179.11/26.83 | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | Case 1:
% 179.11/26.83 | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | (8507) all_8_8 = e4
% 179.11/26.83 | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | COMBINE_EQS: (595), (8507) imply:
% 179.11/26.83 | | | | | | | | | | | | | | (8508) all_4_12 = e4
% 179.11/26.83 | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | SIMP: (8508) implies:
% 179.11/26.83 | | | | | | | | | | | | | | (8509) all_4_12 = e4
% 179.11/26.83 | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | REDUCE: (748), (8509) imply:
% 179.11/26.83 | | | | | | | | | | | | | | (8510) ~ (all_4_15 = e4)
% 179.11/26.83 | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | SIMP: (8510) implies:
% 179.11/26.83 | | | | | | | | | | | | | | (8511) ~ (all_4_15 = e4)
% 179.11/26.83 | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | BETA: splitting (375) gives:
% 179.11/26.83 | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | Case 1:
% 179.11/26.83 | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | (8512) all_12_9 = e3
% 179.11/26.83 | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | COMBINE_EQS: (494), (8512) imply:
% 179.11/26.83 | | | | | | | | | | | | | | | (8513) all_4_10 = e3
% 179.11/26.83 | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | SIMP: (8513) implies:
% 179.11/26.83 | | | | | | | | | | | | | | | (8514) all_4_10 = e3
% 179.11/26.83 | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | COMBINE_EQS: (528), (8514) imply:
% 179.11/26.83 | | | | | | | | | | | | | | | (8515) all_10_65 = e3
% 179.11/26.83 | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | REDUCE: (8493), (8514) imply:
% 179.11/26.83 | | | | | | | | | | | | | | | (8516) ~ (e4 = e3)
% 179.11/26.83 | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | BETA: splitting (8461) gives:
% 179.11/26.83 | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | Case 1:
% 179.11/26.83 | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | (8517) all_10_55 = e3
% 179.11/26.83 | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | REF_CLOSE: (14), (8488), (8517) are inconsistent by sub-proof
% 179.11/26.83 | | | | | | | | | | | | | | | | #396.
% 179.11/26.83 | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | Case 2:
% 179.11/26.83 | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | (8518) all_10_60 = e2 | all_10_65 = e1 | all_10_70 = e0
% 179.11/26.83 | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | REF_CLOSE: (9), (39), (488), (516), (8450), (8477), (8491),
% 179.11/26.83 | | | | | | | | | | | | | | | | (8515), (8518), (function-axioms) are inconsistent
% 179.11/26.83 | | | | | | | | | | | | | | | | by sub-proof #309.
% 179.11/26.83 | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | End of split
% 179.11/26.83 | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | Case 2:
% 179.11/26.83 | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | (8519) ~ (all_12_9 = e3)
% 179.11/26.83 | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | REDUCE: (494), (8519) imply:
% 179.11/26.83 | | | | | | | | | | | | | | | (8520) ~ (all_4_10 = e3)
% 179.11/26.83 | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | BETA: splitting (368) gives:
% 179.11/26.83 | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | Case 1:
% 179.11/26.83 | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | (8521) all_12_12 = e1
% 179.11/26.83 | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (8521) imply:
% 179.11/26.83 | | | | | | | | | | | | | | | | (8522) all_4_9 = e1
% 179.11/26.83 | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | SIMP: (8522) implies:
% 179.11/26.83 | | | | | | | | | | | | | | | | (8523) all_4_9 = e1
% 179.11/26.83 | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | REDUCE: (57), (8523) imply:
% 179.11/26.83 | | | | | | | | | | | | | | | | (8524) op(e1, all_4_10) = e4
% 179.11/26.83 | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | REDUCE: (807), (8523) imply:
% 179.11/26.83 | | | | | | | | | | | | | | | | (8525) op(e1, e1) = all_10_40
% 179.11/26.83 | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_15,
% 179.11/26.83 | | | | | | | | | | | | | | | | all_10_40, e1, e1, simplifying with (23), (8525)
% 179.11/26.83 | | | | | | | | | | | | | | | | gives:
% 179.11/26.83 | | | | | | | | | | | | | | | | (8526) all_10_40 = all_4_15
% 179.11/26.83 | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | BETA: splitting (363) gives:
% 179.11/26.83 | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.83 | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | (8527) all_12_16 = e1
% 179.11/26.83 | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (8527) imply:
% 179.11/26.83 | | | | | | | | | | | | | | | | | (8528) all_4_17 = e1
% 179.11/26.83 | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (8528) imply:
% 179.11/26.83 | | | | | | | | | | | | | | | | | (8529) all_10_70 = e1
% 179.11/26.83 | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | REDUCE: (727), (8528) imply:
% 179.11/26.83 | | | | | | | | | | | | | | | | | (8530) ~ (all_4_5 = e1)
% 179.11/26.83 | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | REDUCE: (746), (8528) imply:
% 179.11/26.83 | | | | | | | | | | | | | | | | | (8531) ~ (all_4_10 = e1)
% 179.11/26.83 | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | BETA: splitting (8461) gives:
% 179.11/26.83 | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.83 | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | (8532) all_10_55 = e3
% 179.11/26.83 | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8488), (8532) imply:
% 179.11/26.83 | | | | | | | | | | | | | | | | | | (8533) e4 = e3
% 179.11/26.83 | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | REDUCE: (14), (8533) imply:
% 179.11/26.83 | | | | | | | | | | | | | | | | | | (8534) $false
% 179.11/26.83 | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | CLOSE: (8534) is inconsistent.
% 179.11/26.83 | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.83 | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | (8535) ~ (all_10_55 = e3)
% 179.11/26.83 | | | | | | | | | | | | | | | | | | (8536) all_10_60 = e2 | all_10_65 = e1 | all_10_70 = e0
% 179.11/26.83 | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | BETA: splitting (8506) gives:
% 179.11/26.83 | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.83 | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | (8537) all_12_1 = e3
% 179.11/26.83 | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8489), (8537) imply:
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | (8538) e4 = e3
% 179.11/26.83 | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | REDUCE: (14), (8538) imply:
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | (8539) $false
% 179.11/26.83 | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | CLOSE: (8539) is inconsistent.
% 179.11/26.83 | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.83 | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | (8540) all_12_4 = e3 | all_12_9 = e3 | all_12_16 = e3
% 179.11/26.83 | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | BETA: splitting (8540) gives:
% 179.11/26.83 | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | (8541) all_12_4 = e3
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (8541) imply:
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | (8542) all_4_5 = e3
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (516), (8542) imply:
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | (8543) all_10_60 = e3
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | BETA: splitting (8502) gives:
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | (8544) all_8_3 = e3
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (594), (8544) imply:
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | (8545) all_4_10 = e3
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | SIMP: (8545) implies:
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | (8546) all_4_10 = e3
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (528), (8546) imply:
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | (8547) all_10_65 = e3
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (39), (488), (516), (8450), (8477), (8491),
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | (8536), (8547), (function-axioms) are inconsistent
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | by sub-proof #309.
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | (8548) ~ (all_8_3 = e3)
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | (8549) all_8_3 = e2 | all_8_3 = e1 | all_8_3 = e0
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8549) gives:
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | (8550) all_8_3 = e2
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (594), (8550) imply:
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | (8551) all_4_10 = e2
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | SIMP: (8551) implies:
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | (8552) all_4_10 = e2
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (528), (8552) imply:
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | (8553) all_10_65 = e2
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8520), (8552) imply:
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | (8554) ~ (e3 = e2)
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8536) gives:
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | | (8555) all_10_60 = e2
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8543), (8555) imply:
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | | (8556) e3 = e2
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8556) implies:
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | | (8557) e3 = e2
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (8557) imply:
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | | (8558) $false
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8558) is inconsistent.
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | | (8559) all_10_65 = e1 | all_10_70 = e0
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8559) gives:
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | | | (8560) all_10_65 = e1
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8553), (8560) are inconsistent by sub-proof
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | | | #308.
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | | | (8561) all_10_70 = e0
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8529), (8561) are inconsistent by sub-proof
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | | | #370.
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | (8562) all_8_3 = e1 | all_8_3 = e0
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (594), (8446), (8531), (8562) are inconsistent by
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | sub-proof #741.
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | (8563) all_12_9 = e3 | all_12_16 = e3
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (494), (8520), (8527), (8563) are
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #307.
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.83 | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.83 | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | End of split
% 179.11/26.83 | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.83 | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | (8564) ~ (all_12_16 = e1)
% 179.11/26.83 | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | REDUCE: (659), (8564) imply:
% 179.11/26.83 | | | | | | | | | | | | | | | | | (8565) ~ (all_4_17 = e1)
% 179.11/26.83 | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | BETA: splitting (373) gives:
% 179.11/26.83 | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.83 | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | (8566) all_12_9 = e1
% 179.11/26.83 | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (8566) imply:
% 179.11/26.83 | | | | | | | | | | | | | | | | | | (8567) all_4_10 = e1
% 179.11/26.83 | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | REDUCE: (8524), (8567) imply:
% 179.11/26.83 | | | | | | | | | | | | | | | | | | (8568) op(e1, e1) = e4
% 179.11/26.83 | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (8511), (8568), (function-axioms) are
% 179.11/26.83 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #705.
% 179.11/26.83 | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.83 | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | (8569) ~ (all_12_9 = e1)
% 179.11/26.83 | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | REDUCE: (494), (8569) imply:
% 179.11/26.83 | | | | | | | | | | | | | | | | | | (8570) ~ (all_4_10 = e1)
% 179.11/26.83 | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | BETA: splitting (8502) gives:
% 179.11/26.83 | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.83 | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | (8571) all_8_3 = e3
% 179.11/26.83 | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (594), (8571) imply:
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | (8572) all_4_10 = e3
% 179.11/26.83 | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | SIMP: (8572) implies:
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | (8573) all_4_10 = e3
% 179.11/26.83 | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (528), (8573) imply:
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | (8574) all_10_65 = e3
% 179.11/26.83 | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | BETA: splitting (8461) gives:
% 179.11/26.83 | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | (8575) all_10_55 = e3
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (8488), (8575) are inconsistent by sub-proof
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | #396.
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | (8576) all_10_60 = e2 | all_10_65 = e1 | all_10_70 = e0
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (39), (488), (516), (8450), (8477), (8491),
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | (8574), (8576), (function-axioms) are inconsistent
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | by sub-proof #309.
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.83 | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.83 | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | (8577) all_8_3 = e2 | all_8_3 = e1 | all_8_3 = e0
% 179.11/26.83 | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | BETA: splitting (8577) gives:
% 179.11/26.83 | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | (8578) all_8_3 = e2
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (594), (8578) imply:
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | (8579) all_4_10 = e2
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | SIMP: (8579) implies:
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | (8580) all_4_10 = e2
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (528), (8580) imply:
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | (8581) all_10_65 = e2
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | REDUCE: (726), (8580) imply:
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | (8582) ~ (all_4_5 = e2)
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | REDUCE: (746), (8580) imply:
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | (8583) ~ (all_4_17 = e2)
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | SIMP: (8583) implies:
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | (8584) ~ (all_4_17 = e2)
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | BETA: splitting (8461) gives:
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | (8585) all_10_55 = e3
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8488), (8585) imply:
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | (8586) e4 = e3
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (8586) imply:
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | (8587) $false
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | CLOSE: (8587) is inconsistent.
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | (8588) all_10_60 = e2 | all_10_65 = e1 | all_10_70 = e0
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8588) gives:
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | (8589) all_10_60 = e2
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (516), (8589) imply:
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | (8590) all_4_5 = e2
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8582), (8590) imply:
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | (8591) $false
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8591) is inconsistent.
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | (8592) all_10_65 = e1 | all_10_70 = e0
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8453) gives:
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | | (8593) all_8_4 = e3
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (603), (8593) imply:
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | | (8594) all_4_17 = e3
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8594) implies:
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | | (8595) all_4_17 = e3
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (8595) imply:
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | | (8596) all_10_70 = e3
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8592) gives:
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | | | (8597) all_10_65 = e1
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8581), (8597) are inconsistent by sub-proof
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | | | #308.
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | | | (8598) all_10_70 = e0
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8596), (8598) are inconsistent by sub-proof
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | | | #391.
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | | (8599) all_8_4 = e2 | all_8_4 = e1 | all_8_4 = e0
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (603), (8450), (8565), (8584), (8599) are
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #368.
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | (8600) all_8_3 = e1 | all_8_3 = e0
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (594), (8446), (8570), (8600) are inconsistent by
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | | sub-proof #741.
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.83 | | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.83 | | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | End of split
% 179.11/26.83 | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | End of split
% 179.11/26.83 | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | Case 2:
% 179.11/26.83 | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | (8601) ~ (all_12_12 = e1)
% 179.11/26.83 | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | REDUCE: (446), (8601) imply:
% 179.11/26.83 | | | | | | | | | | | | | | | | (8602) ~ (all_4_9 = e1)
% 179.11/26.83 | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | BETA: splitting (8466) gives:
% 179.11/26.83 | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.83 | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | (8603) all_10_51 = e3
% 179.11/26.83 | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | REF_CLOSE: (512), (8472), (8494), (8497), (8603),
% 179.11/26.83 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.11/26.83 | | | | | | | | | | | | | | | | | #306.
% 179.11/26.83 | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.83 | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | (8604) all_10_52 = e2 | all_10_53 = e1 | all_10_54 = e0
% 179.11/26.83 | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (424), (534), (8448), (8470), (8602), (8604)
% 179.11/26.83 | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #305.
% 179.11/26.83 | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | End of split
% 179.11/26.83 | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | End of split
% 179.11/26.83 | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | End of split
% 179.11/26.83 | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | Case 2:
% 179.11/26.83 | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | (8605) ~ (all_8_8 = e4)
% 179.11/26.83 | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | REDUCE: (595), (8605) imply:
% 179.11/26.83 | | | | | | | | | | | | | | (8606) ~ (all_4_12 = e4)
% 179.11/26.83 | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | BETA: splitting (8504) gives:
% 179.11/26.83 | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | Case 1:
% 179.11/26.83 | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | (8607) all_12_10 = e4
% 179.11/26.83 | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | REF_CLOSE: (663), (8606), (8607) are inconsistent by
% 179.11/26.83 | | | | | | | | | | | | | | | sub-proof #628.
% 179.11/26.83 | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | Case 2:
% 179.11/26.83 | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | (8608) all_12_11 = e4 | all_12_15 = e4 | all_12_23 = e4
% 179.11/26.83 | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | BETA: splitting (8608) gives:
% 179.11/26.83 | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | Case 1:
% 179.11/26.83 | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | (8609) all_12_11 = e4
% 179.11/26.83 | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | REF_CLOSE: (454), (8476), (8609) are inconsistent by
% 179.11/26.83 | | | | | | | | | | | | | | | | sub-proof #774.
% 179.11/26.83 | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | Case 2:
% 179.11/26.83 | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | (8610) all_12_15 = e4 | all_12_23 = e4
% 179.11/26.83 | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | BETA: splitting (8610) gives:
% 179.11/26.83 | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.83 | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | (8611) all_12_15 = e4
% 179.11/26.83 | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | COMBINE_EQS: (660), (8611) imply:
% 179.11/26.83 | | | | | | | | | | | | | | | | | (8612) all_4_15 = e4
% 179.11/26.83 | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | SIMP: (8612) implies:
% 179.11/26.83 | | | | | | | | | | | | | | | | | (8613) all_4_15 = e4
% 179.11/26.83 | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | REDUCE: (51), (8613) imply:
% 179.11/26.83 | | | | | | | | | | | | | | | | | (8614) op(e4, e4) = e1
% 179.11/26.83 | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (41), (8435), (8478), (8614),
% 179.11/26.83 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.11/26.83 | | | | | | | | | | | | | | | | | #304.
% 179.11/26.83 | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.83 | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | (8615) all_12_23 = e4
% 179.11/26.83 | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | | REF_CLOSE: (414), (8433), (8615) are inconsistent by
% 179.11/26.83 | | | | | | | | | | | | | | | | | sub-proof #460.
% 179.11/26.83 | | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | | End of split
% 179.11/26.83 | | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | | End of split
% 179.11/26.83 | | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | End of split
% 179.11/26.83 | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | End of split
% 179.11/26.83 | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | End of split
% 179.11/26.83 | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | End of split
% 179.11/26.83 | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | End of split
% 179.11/26.83 | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | Case 2:
% 179.11/26.83 | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | (8616) ~ (all_8_1 = e4)
% 179.11/26.83 | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | REDUCE: (574), (8616) imply:
% 179.11/26.83 | | | | | | | | | | (8617) ~ (all_4_2 = e4)
% 179.11/26.83 | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | BETA: splitting (406) gives:
% 179.11/26.83 | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | Case 1:
% 179.11/26.83 | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | (8618) all_12_0 = e4
% 179.11/26.83 | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | REF_CLOSE: (11), (8438), (8618) are inconsistent by sub-proof
% 179.11/26.83 | | | | | | | | | | | #303.
% 179.11/26.83 | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | Case 2:
% 179.11/26.83 | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | (8619) all_12_1 = e4 | all_12_4 = e4 | all_12_9 = e4 |
% 179.11/26.83 | | | | | | | | | | | all_12_16 = e4
% 179.11/26.83 | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | BETA: splitting (240) gives:
% 179.11/26.83 | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | Case 1:
% 179.11/26.83 | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | (8620) all_8_3 = e4
% 179.11/26.83 | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | COMBINE_EQS: (594), (8620) imply:
% 179.11/26.83 | | | | | | | | | | | | (8621) all_4_10 = e4
% 179.11/26.83 | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | SIMP: (8621) implies:
% 179.11/26.83 | | | | | | | | | | | | (8622) all_4_10 = e4
% 179.11/26.83 | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | COMBINE_EQS: (528), (8622) imply:
% 179.11/26.83 | | | | | | | | | | | | (8623) all_10_65 = e4
% 179.11/26.83 | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | COMBINE_EQS: (494), (8622) imply:
% 179.11/26.83 | | | | | | | | | | | | (8624) all_12_9 = e4
% 179.11/26.83 | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | REDUCE: (742), (8622) imply:
% 179.11/26.83 | | | | | | | | | | | | (8625) ~ (all_4_12 = e4)
% 179.11/26.83 | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | SIMP: (8625) implies:
% 179.11/26.83 | | | | | | | | | | | | (8626) ~ (all_4_12 = e4)
% 179.11/26.83 | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | REDUCE: (744), (8622) imply:
% 179.11/26.83 | | | | | | | | | | | | (8627) ~ (all_4_15 = e4)
% 179.11/26.83 | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | SIMP: (8627) implies:
% 179.11/26.83 | | | | | | | | | | | | (8628) ~ (all_4_15 = e4)
% 179.11/26.83 | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | REDUCE: (746), (8622) imply:
% 179.11/26.83 | | | | | | | | | | | | (8629) ~ (all_4_17 = e4)
% 179.11/26.83 | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | REDUCE: (56), (8622) imply:
% 179.11/26.83 | | | | | | | | | | | | (8630) op(e4, all_4_9) = e1
% 179.11/26.83 | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | REDUCE: (782), (8622) imply:
% 179.11/26.83 | | | | | | | | | | | | (8631) op(e4, e1) = all_10_3
% 179.11/26.83 | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | REDUCE: (795), (8622) imply:
% 179.11/26.83 | | | | | | | | | | | | (8632) op(e4, e4) = all_10_28
% 179.11/26.83 | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | REDUCE: (38), (8622) imply:
% 179.11/26.83 | | | | | | | | | | | | (8633) op(e4, e1) = e4
% 179.11/26.83 | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_10_3,
% 179.11/26.83 | | | | | | | | | | | | e1, e4, simplifying with (8631), (8633) gives:
% 179.11/26.83 | | | | | | | | | | | | (8634) all_10_3 = e4
% 179.11/26.83 | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 179.11/26.83 | | | | | | | | | | | | all_10_28, e4, e4, simplifying with (8435), (8632)
% 179.11/26.83 | | | | | | | | | | | | gives:
% 179.11/26.83 | | | | | | | | | | | | (8635) all_10_28 = e0
% 179.11/26.83 | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | BETA: splitting (391) gives:
% 179.11/26.83 | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | Case 1:
% 179.11/26.83 | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | (8636) all_12_2 = e4
% 179.11/26.83 | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | REF_CLOSE: (486), (8472), (8636) are inconsistent by
% 179.11/26.83 | | | | | | | | | | | | | sub-proof #695.
% 179.11/26.83 | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | Case 2:
% 179.11/26.83 | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | (8637) all_12_3 = e4 | all_12_5 = e4 | all_12_10 = e4 |
% 179.11/26.83 | | | | | | | | | | | | | all_12_17 = e4
% 179.11/26.83 | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | BETA: splitting (399) gives:
% 179.11/26.83 | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | Case 1:
% 179.11/26.83 | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | (8638) all_12_0 = e1
% 179.11/26.83 | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | REF_CLOSE: (5), (8438), (8638) are inconsistent by sub-proof
% 179.11/26.83 | | | | | | | | | | | | | | #302.
% 179.11/26.83 | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | Case 2:
% 179.11/26.83 | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | (8639) ~ (all_12_0 = e1)
% 179.11/26.83 | | | | | | | | | | | | | | (8640) all_12_2 = e1 | all_12_6 = e1 | all_12_12 = e1 |
% 179.11/26.83 | | | | | | | | | | | | | | all_12_20 = e1
% 179.11/26.83 | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | REDUCE: (8438), (8639) imply:
% 179.11/26.83 | | | | | | | | | | | | | | (8641) ~ (e1 = e0)
% 179.11/26.83 | | | | | | | | | | | | | |
% 179.11/26.83 | | | | | | | | | | | | | | BETA: splitting (400) gives:
% 179.11/26.83 | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | Case 1:
% 179.11/26.84 | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | (8642) all_12_0 = e1
% 179.11/26.84 | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | REF_CLOSE: (5), (8438), (8642) are inconsistent by sub-proof
% 179.11/26.84 | | | | | | | | | | | | | | | #302.
% 179.11/26.84 | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | Case 2:
% 179.11/26.84 | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | (8643) all_12_1 = e1 | all_12_4 = e1 | all_12_9 = e1 |
% 179.11/26.84 | | | | | | | | | | | | | | | all_12_16 = e1
% 179.11/26.84 | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 179.11/26.84 | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | Case 1:
% 179.11/26.84 | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | (8644) all_8_7 = e4
% 179.11/26.84 | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | COMBINE_EQS: (586), (8644) imply:
% 179.11/26.84 | | | | | | | | | | | | | | | | (8645) all_4_7 = e4
% 179.11/26.84 | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | REDUCE: (707), (8645) imply:
% 179.11/26.84 | | | | | | | | | | | | | | | | (8646) ~ (all_4_3 = e4)
% 179.11/26.84 | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | REDUCE: (722), (8645) imply:
% 179.11/26.84 | | | | | | | | | | | | | | | | (8647) ~ (all_4_5 = e4)
% 179.11/26.84 | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | BETA: splitting (393) gives:
% 179.11/26.84 | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.84 | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | (8648) all_12_1 = e1
% 179.11/26.84 | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (8648) imply:
% 179.11/26.84 | | | | | | | | | | | | | | | | | (8649) all_4_2 = e1
% 179.11/26.84 | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | COMBINE_EQS: (500), (8649) imply:
% 179.11/26.84 | | | | | | | | | | | | | | | | | (8650) all_10_55 = e1
% 179.11/26.84 | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | REDUCE: (8617), (8649) imply:
% 179.11/26.84 | | | | | | | | | | | | | | | | | (8651) ~ (e4 = e1)
% 179.11/26.84 | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | BETA: splitting (8461) gives:
% 179.11/26.84 | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.84 | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | (8652) all_10_55 = e3
% 179.11/26.84 | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8650), (8652) imply:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | (8653) e3 = e1
% 179.11/26.84 | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | REDUCE: (9), (8653) imply:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | (8654) $false
% 179.11/26.84 | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | CLOSE: (8654) is inconsistent.
% 179.11/26.84 | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.84 | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | (8655) all_10_60 = e2 | all_10_65 = e1 | all_10_70 = e0
% 179.11/26.84 | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | BETA: splitting (8655) gives:
% 179.11/26.84 | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | (8656) all_10_60 = e2
% 179.11/26.84 | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (516), (8656) imply:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | (8657) all_4_5 = e2
% 179.11/26.84 | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | SIMP: (8657) implies:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | (8658) all_4_5 = e2
% 179.11/26.84 | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (8477), (8647), (8658), (function-axioms)
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #311.
% 179.11/26.84 | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | (8659) all_10_65 = e1 | all_10_70 = e0
% 179.11/26.84 | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (488), (8450), (8623), (8659) are
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #301.
% 179.11/26.84 | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.84 | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | End of split
% 179.11/26.84 | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.84 | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | (8660) ~ (all_12_1 = e1)
% 179.11/26.84 | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | REDUCE: (666), (8660) imply:
% 179.11/26.84 | | | | | | | | | | | | | | | | | (8661) ~ (all_4_2 = e1)
% 179.11/26.84 | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | BETA: splitting (363) gives:
% 179.11/26.84 | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.84 | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | (8662) all_12_16 = e1
% 179.11/26.84 | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (8662) imply:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | (8663) all_4_17 = e1
% 179.11/26.84 | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | REDUCE: (8429), (8663) imply:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | (8664) ~ (e4 = e1)
% 179.11/26.84 | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | REDUCE: (50), (8663) imply:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | (8665) op(all_4_16, e1) = e4
% 179.11/26.84 | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | REDUCE: (796), (8663) imply:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | (8666) op(e4, e1) = all_10_29
% 179.11/26.84 | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4,
% 179.11/26.84 | | | | | | | | | | | | | | | | | | all_10_29, e1, e4, simplifying with (8633), (8666)
% 179.11/26.84 | | | | | | | | | | | | | | | | | | gives:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | (8667) all_10_29 = e4
% 179.11/26.84 | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | BETA: splitting (388) gives:
% 179.11/26.84 | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | (8668) all_12_2 = e1
% 179.11/26.84 | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (8668) imply:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | (8669) all_4_1 = e1
% 179.11/26.84 | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (512), (8669) imply:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | (8670) all_10_51 = e1
% 179.11/26.84 | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | REDUCE: (676), (8669) imply:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | (8671) ~ (all_4_9 = e1)
% 179.11/26.84 | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | SIMP: (8671) implies:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | (8672) ~ (all_4_9 = e1)
% 179.11/26.84 | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | BETA: splitting (8466) gives:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | (8673) all_10_51 = e3
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8670), (8673) imply:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | (8674) e3 = e1
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (8674) imply:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | (8675) $false
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | CLOSE: (8675) is inconsistent.
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | (8676) all_10_52 = e2 | all_10_53 = e1 | all_10_54 = e0
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (424), (534), (8448), (8470), (8672), (8676)
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #305.
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.84 | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | (8677) ~ (all_12_2 = e1)
% 179.11/26.84 | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | REDUCE: (486), (8677) imply:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | (8678) ~ (all_4_1 = e1)
% 179.11/26.84 | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | BETA: splitting (368) gives:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | (8679) all_12_12 = e1
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (8679) imply:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | (8680) all_4_9 = e1
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8474), (8630), (8633), (8680), (function-axioms)
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #373.
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | (8681) ~ (all_12_12 = e1)
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | REDUCE: (446), (8681) imply:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | (8682) ~ (all_4_9 = e1)
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | BETA: splitting (8640) gives:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | (8683) all_12_2 = e1
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (8683) imply:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | (8684) all_4_1 = e1
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | REDUCE: (8678), (8684) imply:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | (8685) $false
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | CLOSE: (8685) is inconsistent.
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | (8686) all_12_6 = e1 | all_12_12 = e1 | all_12_20 = e1
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8686) gives:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | (8687) all_12_6 = e1
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8471), (8687) imply:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | (8688) e4 = e1
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | SIMP: (8688) implies:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | (8689) e4 = e1
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (8689) imply:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | (8690) $false
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8690) is inconsistent.
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | (8691) all_12_12 = e1 | all_12_20 = e1
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8691) gives:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | (8692) all_12_12 = e1
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (8682), (8692) are inconsistent by
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #468.
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | (8693) all_12_20 = e1
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (657), (8628), (8665), (8693),
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | #300.
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.84 | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.84 | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.84 | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | (8694) ~ (all_12_16 = e1)
% 179.11/26.84 | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | REDUCE: (659), (8694) imply:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | (8695) ~ (all_4_17 = e1)
% 179.11/26.84 | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | BETA: splitting (8643) gives:
% 179.11/26.84 | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | (8696) all_12_1 = e1
% 179.11/26.84 | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (8696) imply:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | (8697) all_4_2 = e1
% 179.11/26.84 | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | REDUCE: (8661), (8697) imply:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | (8698) $false
% 179.11/26.84 | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | CLOSE: (8698) is inconsistent.
% 179.11/26.84 | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | (8699) all_12_4 = e1 | all_12_9 = e1 | all_12_16 = e1
% 179.11/26.84 | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | BETA: splitting (8699) gives:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | (8700) all_12_4 = e1
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (8700) imply:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | (8701) all_4_5 = e1
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (516), (8701) imply:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | (8702) all_10_60 = e1
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | REDUCE: (8647), (8701) imply:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | (8703) ~ (e4 = e1)
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | REDUCE: (8479), (8701) imply:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | (8704) op(e1, e4) = e2
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | BETA: splitting (8461) gives:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | (8705) all_10_55 = e3
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (500), (8705) imply:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | (8706) all_4_2 = e3
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | SIMP: (8706) implies:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | (8707) all_4_2 = e3
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | REDUCE: (65), (8707) imply:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | (8708) op(all_4_1, e3) = e4
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | REDUCE: (772), (8707) imply:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | (8709) op(e3, e3) = all_10_1
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_9, e2,
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | e4, e1, simplifying with (26), (8704) gives:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | (8710) all_4_9 = e2
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_3,
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | all_10_1, e3, e3, simplifying with (35), (8709)
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | gives:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | (8711) all_10_1 = all_4_3
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (534), (8710) imply:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | (8712) all_10_53 = e2
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | REDUCE: (676), (8710) imply:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | (8713) ~ (all_4_1 = e2)
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | REDUCE: (688), (8710) imply:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | (8714) ~ (all_4_16 = e2)
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | SIMP: (8714) implies:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | (8715) ~ (all_4_16 = e2)
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | REDUCE: (8474), (8710) imply:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | (8716) ~ (e4 = e2)
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8466) gives:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | (8717) all_10_51 = e3
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (512), (8646), (8708), (8717),
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | #414.
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | (8718) ~ (all_10_51 = e3)
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | (8719) all_10_52 = e2 | all_10_53 = e1 | all_10_54 = e0
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (512), (8718) imply:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | (8720) ~ (all_4_1 = e3)
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8719) gives:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | (8721) all_10_52 = e2
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8470), (8721) imply:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | (8722) e4 = e2
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13), (8722) imply:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | (8723) $false
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8723) is inconsistent.
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | (8724) all_10_53 = e1 | all_10_54 = e0
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8484) gives:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | (8725) all_8_5 = e3
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (566), (8720), (8725) are inconsistent by
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #764.
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | (8726) all_8_5 = e2 | all_8_5 = e1 | all_8_5 = e0
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8726) gives:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | (8727) all_8_5 = e2
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (566), (8713), (8727) are inconsistent by
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #763.
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | (8728) ~ (all_8_5 = e2)
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | (8729) all_8_5 = e1 | all_8_5 = e0
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8729) gives:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (8730) all_8_5 = e1
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (566), (8730) imply:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (8731) all_4_1 = e1
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8731) implies:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (8732) all_4_1 = e1
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (677), (8732) imply:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (8733) ~ (all_4_16 = e1)
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8733) implies:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (8734) ~ (all_4_16 = e1)
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8713), (8732) imply:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (8735) ~ (e2 = e1)
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8456) gives:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8736) all_8_20 = e3
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (572), (8736) imply:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8737) all_4_16 = e3
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8737) implies:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8738) all_4_16 = e3
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (424), (8738) imply:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8739) all_10_54 = e3
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8724) gives:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8740) all_10_53 = e1
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8712), (8740) imply:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8741) e2 = e1
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (8741) imply:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8742) $false
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8742) is inconsistent.
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8743) all_10_54 = e0
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8739), (8743) imply:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8744) e3 = e0
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (8744) imply:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8745) $false
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8745) is inconsistent.
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8746) all_8_20 = e2 | all_8_20 = e1 | all_8_20 = e0
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (572), (8448), (8715), (8734), (8746) are
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #615.
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (8747) all_8_5 = e0
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (566), (8440), (8747) are inconsistent by
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #659.
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | (8748) all_10_60 = e2 | all_10_65 = e1 | all_10_70 = e0
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8748) gives:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | (8749) all_10_60 = e2
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8702), (8749) imply:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | (8750) e2 = e1
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (8750) imply:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | (8751) $false
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8751) is inconsistent.
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | (8752) all_10_65 = e1 | all_10_70 = e0
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8752) gives:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | (8753) all_10_65 = e1
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (8623), (8753) are inconsistent by sub-proof
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | #402.
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | (8754) all_10_70 = e0
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (488), (8450), (8754) are inconsistent by
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #362.
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | (8755) all_12_9 = e1 | all_12_16 = e1
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (659), (8624), (8695), (8755) are
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #299.
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.84 | | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.84 | | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | | End of split
% 179.11/26.84 | | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | End of split
% 179.11/26.84 | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | Case 2:
% 179.11/26.84 | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | (8756) ~ (all_8_7 = e4)
% 179.11/26.84 | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | REDUCE: (586), (8756) imply:
% 179.11/26.84 | | | | | | | | | | | | | | | | (8757) ~ (all_4_7 = e4)
% 179.11/26.84 | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | REF_CLOSE: (8), (63), (470), (478), (482), (663), (8431),
% 179.11/26.84 | | | | | | | | | | | | | | | | (8435), (8626), (8637), (8757), (function-axioms)
% 179.11/26.84 | | | | | | | | | | | | | | | | are inconsistent by sub-proof #298.
% 179.11/26.84 | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | End of split
% 179.11/26.84 | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | End of split
% 179.11/26.84 | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | End of split
% 179.11/26.84 | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | End of split
% 179.11/26.84 | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | Case 2:
% 179.11/26.84 | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | (8758) ~ (all_8_3 = e4)
% 179.11/26.84 | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | REDUCE: (594), (8758) imply:
% 179.11/26.84 | | | | | | | | | | | | (8759) ~ (all_4_10 = e4)
% 179.11/26.84 | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | REF_CLOSE: (13), (494), (498), (659), (666), (8429), (8477),
% 179.11/26.84 | | | | | | | | | | | | (8479), (8617), (8619), (8759), (function-axioms)
% 179.11/26.84 | | | | | | | | | | | | are inconsistent by sub-proof #297.
% 179.11/26.84 | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | End of split
% 179.11/26.84 | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | End of split
% 179.11/26.84 | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | End of split
% 179.11/26.84 | | | | | | | | |
% 179.11/26.84 | | | | | | | | End of split
% 179.11/26.84 | | | | | | | |
% 179.11/26.84 | | | | | | | Case 2:
% 179.11/26.84 | | | | | | | |
% 179.11/26.84 | | | | | | | | (8760) ~ (all_8_10 = e4)
% 179.11/26.84 | | | | | | | | (8761) all_8_10 = e3 | all_8_10 = e2 | all_8_10 = e1 |
% 179.11/26.84 | | | | | | | | all_8_10 = e0
% 179.11/26.84 | | | | | | | |
% 179.11/26.84 | | | | | | | | REDUCE: (568), (8760) imply:
% 179.11/26.84 | | | | | | | | (8762) ~ (all_4_4 = e4)
% 179.11/26.84 | | | | | | | |
% 179.11/26.84 | | | | | | | | BETA: splitting (405) gives:
% 179.11/26.84 | | | | | | | |
% 179.11/26.84 | | | | | | | | Case 1:
% 179.11/26.84 | | | | | | | | |
% 179.11/26.84 | | | | | | | | | (8763) all_12_0 = e4
% 179.11/26.84 | | | | | | | | |
% 179.11/26.84 | | | | | | | | | REF_CLOSE: (11), (8438), (8763) are inconsistent by sub-proof
% 179.11/26.84 | | | | | | | | | #303.
% 179.11/26.84 | | | | | | | | |
% 179.11/26.84 | | | | | | | | Case 2:
% 179.11/26.84 | | | | | | | | |
% 179.11/26.84 | | | | | | | | | (8764) ~ (all_12_0 = e4)
% 179.11/26.84 | | | | | | | | | (8765) all_12_2 = e4 | all_12_6 = e4 | all_12_12 = e4 |
% 179.11/26.84 | | | | | | | | | all_12_20 = e4
% 179.11/26.84 | | | | | | | | |
% 179.11/26.84 | | | | | | | | | BETA: splitting (242) gives:
% 179.11/26.84 | | | | | | | | |
% 179.11/26.84 | | | | | | | | | Case 1:
% 179.11/26.84 | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | (8766) all_8_1 = e4
% 179.11/26.84 | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | COMBINE_EQS: (574), (8766) imply:
% 179.11/26.84 | | | | | | | | | | (8767) all_4_2 = e4
% 179.11/26.84 | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | SIMP: (8767) implies:
% 179.11/26.84 | | | | | | | | | | (8768) all_4_2 = e4
% 179.11/26.84 | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | COMBINE_EQS: (500), (8768) imply:
% 179.11/26.84 | | | | | | | | | | (8769) all_10_55 = e4
% 179.11/26.84 | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | COMBINE_EQS: (666), (8768) imply:
% 179.11/26.84 | | | | | | | | | | (8770) all_12_1 = e4
% 179.11/26.84 | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | REDUCE: (697), (8768) imply:
% 179.11/26.84 | | | | | | | | | | (8771) ~ (all_4_3 = e4)
% 179.11/26.84 | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | SIMP: (8771) implies:
% 179.11/26.84 | | | | | | | | | | (8772) ~ (all_4_3 = e4)
% 179.11/26.84 | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | REDUCE: (698), (8768) imply:
% 179.11/26.84 | | | | | | | | | | (8773) ~ (all_4_6 = e4)
% 179.11/26.84 | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | SIMP: (8773) implies:
% 179.11/26.84 | | | | | | | | | | (8774) ~ (all_4_6 = e4)
% 179.11/26.84 | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | REDUCE: (702), (8768) imply:
% 179.11/26.84 | | | | | | | | | | (8775) ~ (all_4_10 = e4)
% 179.11/26.84 | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | SIMP: (8775) implies:
% 179.11/26.84 | | | | | | | | | | (8776) ~ (all_4_10 = e4)
% 179.11/26.84 | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | REDUCE: (64), (8768) imply:
% 179.11/26.84 | | | | | | | | | | (8777) op(e4, all_4_1) = e3
% 179.11/26.84 | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | REDUCE: (772), (8768) imply:
% 179.11/26.84 | | | | | | | | | | (8778) op(e4, e3) = all_10_1
% 179.11/26.84 | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | REDUCE: (793), (8768) imply:
% 179.11/26.84 | | | | | | | | | | (8779) op(e4, e4) = all_10_26
% 179.11/26.84 | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | REDUCE: (40), (8768) imply:
% 179.11/26.84 | | | | | | | | | | (8780) op(e4, e3) = e4
% 179.11/26.84 | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_10_1,
% 179.11/26.84 | | | | | | | | | | e3, e4, simplifying with (8778), (8780) gives:
% 179.11/26.84 | | | | | | | | | | (8781) all_10_1 = e4
% 179.11/26.84 | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 179.11/26.84 | | | | | | | | | | all_10_26, e4, e4, simplifying with (8435), (8779)
% 179.11/26.84 | | | | | | | | | | gives:
% 179.11/26.84 | | | | | | | | | | (8782) all_10_26 = e0
% 179.11/26.84 | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | BETA: splitting (240) gives:
% 179.11/26.84 | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | Case 1:
% 179.11/26.84 | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | (8783) all_8_3 = e4
% 179.11/26.84 | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | REF_CLOSE: (594), (8776), (8783) are inconsistent by
% 179.11/26.84 | | | | | | | | | | | sub-proof #789.
% 179.11/26.84 | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | Case 2:
% 179.11/26.84 | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | (8784) ~ (all_8_3 = e4)
% 179.11/26.84 | | | | | | | | | | | (8785) all_8_3 = e3 | all_8_3 = e2 | all_8_3 = e1 |
% 179.11/26.84 | | | | | | | | | | | all_8_3 = e0
% 179.11/26.84 | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | BETA: splitting (381) gives:
% 179.11/26.84 | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | Case 1:
% 179.11/26.84 | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | (8786) all_12_6 = e4
% 179.11/26.84 | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | REF_CLOSE: (665), (8762), (8786) are inconsistent by
% 179.11/26.84 | | | | | | | | | | | | sub-proof #780.
% 179.11/26.84 | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | Case 2:
% 179.11/26.84 | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | (8787) ~ (all_12_6 = e4)
% 179.11/26.84 | | | | | | | | | | | | (8788) all_12_7 = e4 | all_12_8 = e4 | all_12_11 = e4 |
% 179.11/26.84 | | | | | | | | | | | | all_12_18 = e4
% 179.11/26.84 | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | BETA: splitting (238) gives:
% 179.11/26.84 | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | Case 1:
% 179.11/26.84 | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | (8789) all_8_5 = e4
% 179.11/26.84 | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | COMBINE_EQS: (566), (8789) imply:
% 179.11/26.84 | | | | | | | | | | | | | (8790) all_4_1 = e4
% 179.11/26.84 | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | SIMP: (8790) implies:
% 179.11/26.84 | | | | | | | | | | | | | (8791) all_4_1 = e4
% 179.11/26.84 | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | REDUCE: (8777), (8791) imply:
% 179.11/26.84 | | | | | | | | | | | | | (8792) op(e4, e4) = e3
% 179.11/26.84 | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | REF_CLOSE: (8), (8435), (8792), (function-axioms) are
% 179.11/26.84 | | | | | | | | | | | | | inconsistent by sub-proof #498.
% 179.11/26.84 | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | Case 2:
% 179.11/26.84 | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | (8793) ~ (all_8_5 = e4)
% 179.11/26.84 | | | | | | | | | | | | | (8794) all_8_5 = e3 | all_8_5 = e2 | all_8_5 = e1 |
% 179.11/26.84 | | | | | | | | | | | | | all_8_5 = e0
% 179.11/26.84 | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | REDUCE: (566), (8793) imply:
% 179.11/26.84 | | | | | | | | | | | | | (8795) ~ (all_4_1 = e4)
% 179.11/26.84 | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | BETA: splitting (8765) gives:
% 179.11/26.84 | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | Case 1:
% 179.11/26.84 | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | (8796) all_12_2 = e4
% 179.11/26.84 | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | REF_CLOSE: (486), (8795), (8796) are inconsistent by
% 179.11/26.84 | | | | | | | | | | | | | | sub-proof #695.
% 179.11/26.84 | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | Case 2:
% 179.11/26.84 | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | (8797) all_12_6 = e4 | all_12_12 = e4 | all_12_20 = e4
% 179.11/26.84 | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | BETA: splitting (8797) gives:
% 179.11/26.84 | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | Case 1:
% 179.11/26.84 | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | (8798) all_12_6 = e4
% 179.11/26.84 | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | REF_CLOSE: (665), (8762), (8798) are inconsistent by
% 179.11/26.84 | | | | | | | | | | | | | | | sub-proof #780.
% 179.11/26.84 | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | Case 2:
% 179.11/26.84 | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | (8799) all_12_12 = e4 | all_12_20 = e4
% 179.11/26.84 | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | BETA: splitting (8799) gives:
% 179.11/26.84 | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | Case 1:
% 179.11/26.84 | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | (8800) all_12_12 = e4
% 179.11/26.84 | | | | | | | | | | | | | | | |
% 179.11/26.84 | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (8800) imply:
% 179.11/26.84 | | | | | | | | | | | | | | | | (8801) all_4_9 = e4
% 179.11/26.84 | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | SIMP: (8801) implies:
% 179.11/26.85 | | | | | | | | | | | | | | | | (8802) all_4_9 = e4
% 179.11/26.85 | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | COMBINE_EQS: (534), (8802) imply:
% 179.11/26.85 | | | | | | | | | | | | | | | | (8803) all_10_53 = e4
% 179.11/26.85 | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | REDUCE: (691), (8802) imply:
% 179.11/26.85 | | | | | | | | | | | | | | | | (8804) ~ (all_4_15 = e4)
% 179.11/26.85 | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | SIMP: (8804) implies:
% 179.11/26.85 | | | | | | | | | | | | | | | | (8805) ~ (all_4_15 = e4)
% 179.11/26.85 | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | REDUCE: (688), (8802) imply:
% 179.11/26.85 | | | | | | | | | | | | | | | | (8806) ~ (all_4_16 = e4)
% 179.11/26.85 | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | REDUCE: (57), (8802) imply:
% 179.11/26.85 | | | | | | | | | | | | | | | | (8807) op(e4, all_4_10) = e4
% 179.11/26.85 | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | REDUCE: (770), (8802) imply:
% 179.11/26.85 | | | | | | | | | | | | | | | | (8808) op(e4, e4) = all_10_15
% 179.11/26.85 | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 179.11/26.85 | | | | | | | | | | | | | | | | all_10_15, e4, e4, simplifying with (8435), (8808)
% 179.11/26.85 | | | | | | | | | | | | | | | | gives:
% 179.11/26.85 | | | | | | | | | | | | | | | | (8809) all_10_15 = e0
% 179.11/26.85 | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_28,
% 179.11/26.85 | | | | | | | | | | | | | | | | e4, all_4_10, e4, simplifying with (795), (8807)
% 179.11/26.85 | | | | | | | | | | | | | | | | gives:
% 179.11/26.85 | | | | | | | | | | | | | | | | (8810) all_10_28 = e4
% 179.11/26.85 | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | BETA: splitting (391) gives:
% 179.11/26.85 | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.85 | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | (8811) all_12_2 = e4
% 179.11/26.85 | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (8795), (8811) are inconsistent by
% 179.11/26.85 | | | | | | | | | | | | | | | | | sub-proof #695.
% 179.11/26.85 | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.85 | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | (8812) all_12_3 = e4 | all_12_5 = e4 | all_12_10 = e4 |
% 179.11/26.85 | | | | | | | | | | | | | | | | | all_12_17 = e4
% 179.11/26.85 | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | BETA: splitting (400) gives:
% 179.11/26.85 | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.85 | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | (8813) all_12_0 = e1
% 179.11/26.85 | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8438), (8813) are inconsistent by sub-proof
% 179.11/26.85 | | | | | | | | | | | | | | | | | | #302.
% 179.11/26.85 | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.85 | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | (8814) ~ (all_12_0 = e1)
% 179.11/26.85 | | | | | | | | | | | | | | | | | | (8815) all_12_1 = e1 | all_12_4 = e1 | all_12_9 = e1 |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | all_12_16 = e1
% 179.11/26.85 | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | REDUCE: (8438), (8814) imply:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | (8816) ~ (e1 = e0)
% 179.11/26.85 | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | BETA: splitting (403) gives:
% 179.11/26.85 | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | (8817) all_12_0 = e3
% 179.11/26.85 | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8438), (8817) are inconsistent by sub-proof
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | #312.
% 179.11/26.85 | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | (8818) all_12_2 = e3 | all_12_6 = e3 | all_12_12 = e3 |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | all_12_20 = e3
% 179.11/26.85 | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | BETA: splitting (399) gives:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | (8819) all_12_0 = e1
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8438), (8819) are inconsistent by sub-proof
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | #302.
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | (8820) all_12_2 = e1 | all_12_6 = e1 | all_12_12 = e1 |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | all_12_20 = e1
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | (8821) all_8_7 = e4
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (586), (8821) imply:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | (8822) all_4_7 = e4
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | REDUCE: (728), (8822) imply:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | (8823) ~ (all_4_8 = e4)
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | SIMP: (8823) implies:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | (8824) ~ (all_4_8 = e4)
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (361) gives:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | (8825) all_12_20 = e3
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (8825) imply:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | (8826) all_4_16 = e3
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | SIMP: (8826) implies:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | (8827) all_4_16 = e3
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (424), (8827) imply:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | (8828) all_10_54 = e3
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (677), (8827) imply:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | (8829) ~ (all_4_1 = e3)
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8466) gives:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | (8830) all_10_51 = e3
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (512), (8829), (8830) are inconsistent by
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #623.
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | (8831) ~ (all_10_51 = e3)
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | (8832) all_10_52 = e2 | all_10_53 = e1 | all_10_54 = e0
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8832) gives:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | (8833) all_10_52 = e2
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (463), (8833) imply:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | (8834) all_4_4 = e2
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8834) implies:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | (8835) all_4_4 = e2
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (675), (8835) imply:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | (8836) ~ (all_4_1 = e2)
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (8835) imply:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | (8837) op(e2, all_4_5) = e4
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (802), (8835) imply:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | (8838) op(e2, e2) = all_10_35
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8820) gives:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | (8839) all_12_2 = e1
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (8839) imply:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | (8840) all_4_1 = e1
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8829), (8840) imply:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | (8841) ~ (e3 = e1)
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8777), (8840) imply:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | (8842) op(e4, e1) = e3
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_8,
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | all_10_35, e2, e2, simplifying with (29), (8838)
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | (8843) all_10_35 = all_4_8
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_10, e3,
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | e1, e4, simplifying with (38), (8842) gives:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | (8844) all_4_10 = e3
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (528), (8844) imply:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | (8845) all_10_65 = e3
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8776), (8844) imply:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | (8846) ~ (e4 = e3)
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8461) gives:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (8847) all_10_55 = e3
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8769), (8847) imply:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (8848) e4 = e3
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (8848) imply:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (8849) $false
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8849) is inconsistent.
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (8850) all_10_60 = e2 | all_10_65 = e1 | all_10_70 = e0
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8850) gives:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8851) all_10_60 = e2
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (516), (8824), (8837), (8851),
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | #296.
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8852) all_10_65 = e1 | all_10_70 = e0
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (488), (8450), (8845), (8852) are
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #310.
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | (8853) ~ (all_12_2 = e1)
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (486), (8853) imply:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | (8854) ~ (all_4_1 = e1)
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (566), (8440), (8794), (8829), (8836), (8854) are
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #657.
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | (8855) all_10_53 = e1 | all_10_54 = e0
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12), (8803), (8828), (8855) are inconsistent
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #504.
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | (8856) ~ (all_12_20 = e3)
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (657), (8856) imply:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | (8857) ~ (all_4_16 = e3)
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (374) gives:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | (8858) all_12_9 = e2
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (8858) imply:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | (8859) all_4_10 = e2
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8859) implies:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | (8860) all_4_10 = e2
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (528), (8860) imply:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | (8861) all_10_65 = e2
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (726), (8860) imply:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | (8862) ~ (all_4_5 = e2)
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8461) gives:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | (8863) all_10_55 = e3
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (8769), (8863) are inconsistent by sub-proof
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | #396.
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | (8864) all_10_60 = e2 | all_10_65 = e1 | all_10_70 = e0
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8864) gives:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | (8865) all_10_60 = e2
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (516), (8865) imply:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | (8866) all_4_5 = e2
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8862), (8866) imply:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | (8867) $false
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8867) is inconsistent.
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | (8868) all_10_65 = e1 | all_10_70 = e0
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8868) gives:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (8869) all_10_65 = e1
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8861), (8869) are inconsistent by sub-proof
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | #308.
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (8870) all_10_70 = e0
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (488), (8450), (8870) are inconsistent by
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #362.
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | (8871) ~ (all_12_9 = e2)
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (494), (8871) imply:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | (8872) ~ (all_4_10 = e2)
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (365) gives:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | (8873) all_12_16 = e3
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (8873) imply:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | (8874) all_4_17 = e3
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (746), (8874) imply:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | (8875) ~ (all_4_10 = e3)
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8785) gives:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | (8876) all_8_3 = e3
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (594), (8875), (8876) are inconsistent by
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #735.
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | (8877) all_8_3 = e2 | all_8_3 = e1 | all_8_3 = e0
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8877) gives:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (8878) all_8_3 = e2
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (594), (8872), (8878) are inconsistent by
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #744.
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (8879) all_8_3 = e1 | all_8_3 = e0
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8879) gives:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8880) all_8_3 = e1
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (594), (8880) imply:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8881) all_4_10 = e1
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (8776), (8807), (8881), (function-axioms)
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #583.
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8882) all_8_3 = e0
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (594), (8446), (8882) are inconsistent by
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #742.
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | (8883) ~ (all_12_16 = e3)
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (659), (8883) imply:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | (8884) ~ (all_4_17 = e3)
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (359) gives:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | (8885) all_12_20 = e1
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (8885) imply:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | (8886) all_4_16 = e1
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8886) implies:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | (8887) all_4_16 = e1
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8428), (8887) imply:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | (8888) ~ (e4 = e1)
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (50), (8887) imply:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | (8889) op(e1, all_4_17) = e4
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (373) gives:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (8890) all_12_9 = e1
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (8890) imply:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (8891) all_4_10 = e1
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (8776), (8807), (8891), (function-axioms)
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #583.
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (8892) ~ (all_12_9 = e1)
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (494), (8892) imply:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (8893) ~ (all_4_10 = e1)
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8461) gives:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8894) all_10_55 = e3
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (8769), (8894) are inconsistent by sub-proof
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | #396.
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8895) all_10_60 = e2 | all_10_65 = e1 | all_10_70 = e0
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8895) gives:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8896) all_10_60 = e2
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (516), (8896) imply:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8897) all_4_5 = e2
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8897) implies:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8898) all_4_5 = e2
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (8898) imply:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8899) all_12_4 = e2
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8453) gives:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8900) all_8_4 = e3
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (603), (8900) imply:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8901) all_4_17 = e3
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8884), (8901) imply:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8902) $false
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8902) is inconsistent.
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8903) all_8_4 = e2 | all_8_4 = e1 | all_8_4 = e0
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8815) gives:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8904) all_12_1 = e1
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8770), (8904) imply:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8905) e4 = e1
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (8905) imply:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8906) $false
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8906) is inconsistent.
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8907) all_12_4 = e1 | all_12_9 = e1 | all_12_16 = e1
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8907) gives:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8908) all_12_4 = e1
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8899), (8908) imply:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8909) e2 = e1
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (8909) imply:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8910) $false
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8910) is inconsistent.
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8911) all_12_9 = e1 | all_12_16 = e1
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (23), (494), (603), (659), (8450), (8805),
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8889), (8893), (8903), (8911), (function-axioms)
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #295.
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8912) all_10_65 = e1 | all_10_70 = e0
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (488), (528), (8450), (8893), (8912) are
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #361.
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | (8913) ~ (all_12_20 = e1)
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (657), (8913) imply:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | (8914) ~ (all_4_16 = e1)
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8456) gives:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (8915) all_8_20 = e3
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (572), (8857), (8915) are inconsistent by
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #579.
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (8916) ~ (all_8_20 = e3)
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (8917) all_8_20 = e2 | all_8_20 = e1 | all_8_20 = e0
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8917) gives:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8918) all_8_20 = e2
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (572), (8918) imply:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8919) all_4_16 = e2
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8919) implies:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8920) all_4_16 = e2
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (424), (8920) imply:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8921) all_10_54 = e2
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (8920) imply:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8922) all_12_20 = e2
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (683), (8920) imply:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8923) ~ (all_4_4 = e2)
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8857), (8920) imply:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8924) ~ (e3 = e2)
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8466) gives:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8925) all_10_51 = e3
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (512), (8777), (8780), (8795), (8925),
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #306.
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8926) ~ (all_10_51 = e3)
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8927) all_10_52 = e2 | all_10_53 = e1 | all_10_54 = e0
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10), (12), (14), (463), (486), (512), (665),
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8800), (8803), (8818), (8921), (8922), (8923),
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8926), (8927) are inconsistent by sub-proof #293.
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8928) all_8_20 = e1 | all_8_20 = e0
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (572), (8448), (8914), (8928) are inconsistent by
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #633.
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | (8929) ~ (all_8_7 = e4)
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | REDUCE: (586), (8929) imply:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | (8930) ~ (all_4_7 = e4)
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8812) gives:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | (8931) all_12_3 = e4
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (482), (8772), (8931) are inconsistent by
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | sub-proof #292.
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | (8932) all_12_5 = e4 | all_12_10 = e4 | all_12_17 = e4
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8932) gives:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | (8933) all_12_5 = e4
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (8930), (8933) are inconsistent by
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #566.
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | (8934) all_12_10 = e4 | all_12_17 = e4
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8934) gives:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | (8935) all_12_10 = e4
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (663), (8935) imply:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | (8936) all_4_12 = e4
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8936) implies:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | (8937) all_4_12 = e4
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (747), (8937) imply:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | (8938) ~ (all_4_14 = e4)
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8938) implies:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | (8939) ~ (all_4_14 = e4)
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (58), (454), (462), (658), (664), (8432),
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | (8435), (8774), (8788), (8939), (function-axioms)
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #290.
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | (8940) all_12_17 = e4
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (470), (8940) imply:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | (8941) all_4_19 = e4
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8431), (8941) imply:
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | (8942) $false
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8942) is inconsistent.
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.85 | | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.85 | | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | | End of split
% 179.11/26.85 | | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | End of split
% 179.11/26.85 | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | Case 2:
% 179.11/26.85 | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | (8943) all_12_20 = e4
% 179.11/26.85 | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | | REF_CLOSE: (657), (8428), (8943) are inconsistent by
% 179.11/26.85 | | | | | | | | | | | | | | | | sub-proof #572.
% 179.11/26.85 | | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | | End of split
% 179.11/26.85 | | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | | End of split
% 179.11/26.85 | | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | | End of split
% 179.11/26.85 | | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | End of split
% 179.11/26.85 | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | End of split
% 179.11/26.85 | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | End of split
% 179.11/26.85 | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | Case 2:
% 179.11/26.85 | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | (8944) ~ (all_8_1 = e4)
% 179.11/26.85 | | | | | | | | | | (8945) all_8_1 = e3 | all_8_1 = e2 | all_8_1 = e1 |
% 179.11/26.85 | | | | | | | | | | all_8_1 = e0
% 179.11/26.85 | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | REDUCE: (574), (8944) imply:
% 179.11/26.85 | | | | | | | | | | (8946) ~ (all_4_2 = e4)
% 179.11/26.85 | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | BETA: splitting (406) gives:
% 179.11/26.85 | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | Case 1:
% 179.11/26.85 | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | (8947) all_12_0 = e4
% 179.11/26.85 | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | REF_CLOSE: (11), (8438), (8947) are inconsistent by sub-proof
% 179.11/26.85 | | | | | | | | | | | #303.
% 179.11/26.85 | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | Case 2:
% 179.11/26.85 | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | (8948) all_12_1 = e4 | all_12_4 = e4 | all_12_9 = e4 |
% 179.11/26.85 | | | | | | | | | | | all_12_16 = e4
% 179.11/26.85 | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | BETA: splitting (240) gives:
% 179.11/26.85 | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | Case 1:
% 179.11/26.85 | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | (8949) all_8_3 = e4
% 179.11/26.85 | | | | | | | | | | | |
% 179.11/26.85 | | | | | | | | | | | | COMBINE_EQS: (594), (8949) imply:
% 179.11/26.86 | | | | | | | | | | | | (8950) all_4_10 = e4
% 179.11/26.86 | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | SIMP: (8950) implies:
% 179.11/26.86 | | | | | | | | | | | | (8951) all_4_10 = e4
% 179.11/26.86 | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | COMBINE_EQS: (528), (8951) imply:
% 179.11/26.86 | | | | | | | | | | | | (8952) all_10_65 = e4
% 179.11/26.86 | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | REDUCE: (743), (8951) imply:
% 179.11/26.86 | | | | | | | | | | | | (8953) ~ (all_4_14 = e4)
% 179.11/26.86 | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | SIMP: (8953) implies:
% 179.11/26.86 | | | | | | | | | | | | (8954) ~ (all_4_14 = e4)
% 179.11/26.86 | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | REDUCE: (744), (8951) imply:
% 179.11/26.86 | | | | | | | | | | | | (8955) ~ (all_4_15 = e4)
% 179.11/26.86 | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | SIMP: (8955) implies:
% 179.11/26.86 | | | | | | | | | | | | (8956) ~ (all_4_15 = e4)
% 179.11/26.86 | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | REDUCE: (57), (8951) imply:
% 179.11/26.86 | | | | | | | | | | | | (8957) op(all_4_9, e4) = e4
% 179.11/26.86 | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | REDUCE: (56), (8951) imply:
% 179.11/26.86 | | | | | | | | | | | | (8958) op(e4, all_4_9) = e1
% 179.11/26.86 | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | REDUCE: (782), (8951) imply:
% 179.11/26.86 | | | | | | | | | | | | (8959) op(e4, e1) = all_10_3
% 179.11/26.86 | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | REDUCE: (795), (8951) imply:
% 179.11/26.86 | | | | | | | | | | | | (8960) op(e4, e4) = all_10_28
% 179.11/26.86 | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | REDUCE: (38), (8951) imply:
% 179.11/26.86 | | | | | | | | | | | | (8961) op(e4, e1) = e4
% 179.11/26.86 | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_10_3,
% 179.11/26.86 | | | | | | | | | | | | e1, e4, simplifying with (8959), (8961) gives:
% 179.11/26.86 | | | | | | | | | | | | (8962) all_10_3 = e4
% 179.11/26.86 | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 179.11/26.86 | | | | | | | | | | | | all_10_28, e4, e4, simplifying with (8435), (8960)
% 179.11/26.86 | | | | | | | | | | | | gives:
% 179.11/26.86 | | | | | | | | | | | | (8963) all_10_28 = e0
% 179.11/26.86 | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_15,
% 179.11/26.86 | | | | | | | | | | | | e4, e4, all_4_9, simplifying with (770), (8957)
% 179.11/26.86 | | | | | | | | | | | | gives:
% 179.11/26.86 | | | | | | | | | | | | (8964) all_10_15 = e4
% 179.11/26.86 | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | BETA: splitting (381) gives:
% 179.11/26.86 | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | Case 1:
% 179.11/26.86 | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | (8965) all_12_6 = e4
% 179.11/26.86 | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | REF_CLOSE: (665), (8762), (8965) are inconsistent by
% 179.11/26.86 | | | | | | | | | | | | | sub-proof #780.
% 179.11/26.86 | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | Case 2:
% 179.11/26.86 | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | (8966) ~ (all_12_6 = e4)
% 179.11/26.86 | | | | | | | | | | | | | (8967) all_12_7 = e4 | all_12_8 = e4 | all_12_11 = e4 |
% 179.11/26.86 | | | | | | | | | | | | | all_12_18 = e4
% 179.11/26.86 | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | BETA: splitting (8765) gives:
% 179.11/26.86 | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | Case 1:
% 179.11/26.86 | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | (8968) all_12_2 = e4
% 179.11/26.86 | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | COMBINE_EQS: (486), (8968) imply:
% 179.11/26.86 | | | | | | | | | | | | | | (8969) all_4_1 = e4
% 179.11/26.86 | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | SIMP: (8969) implies:
% 179.11/26.86 | | | | | | | | | | | | | | (8970) all_4_1 = e4
% 179.11/26.86 | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | COMBINE_EQS: (512), (8970) imply:
% 179.11/26.86 | | | | | | | | | | | | | | (8971) all_10_51 = e4
% 179.11/26.86 | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | REDUCE: (675), (8970) imply:
% 179.11/26.86 | | | | | | | | | | | | | | (8972) ~ (all_4_4 = e4)
% 179.11/26.86 | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | REDUCE: (676), (8970) imply:
% 179.11/26.86 | | | | | | | | | | | | | | (8973) ~ (all_4_9 = e4)
% 179.11/26.86 | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | SIMP: (8973) implies:
% 179.11/26.86 | | | | | | | | | | | | | | (8974) ~ (all_4_9 = e4)
% 179.11/26.86 | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | REDUCE: (65), (8970) imply:
% 179.11/26.86 | | | | | | | | | | | | | | (8975) op(e4, all_4_2) = e4
% 179.11/26.86 | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | REDUCE: (768), (8970) imply:
% 179.11/26.86 | | | | | | | | | | | | | | (8976) op(e4, e4) = all_10_5
% 179.11/26.86 | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_10_5,
% 179.11/26.86 | | | | | | | | | | | | | | e4, e4, simplifying with (8435), (8976) gives:
% 179.11/26.86 | | | | | | | | | | | | | | (8977) all_10_5 = e0
% 179.11/26.86 | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_26,
% 179.11/26.86 | | | | | | | | | | | | | | e4, all_4_2, e4, simplifying with (793), (8975)
% 179.11/26.86 | | | | | | | | | | | | | | gives:
% 179.11/26.86 | | | | | | | | | | | | | | (8978) all_10_26 = e4
% 179.11/26.86 | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | BETA: splitting (371) gives:
% 179.11/26.86 | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | Case 1:
% 179.11/26.86 | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | (8979) all_12_12 = e4
% 179.11/26.86 | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | REF_CLOSE: (446), (8974), (8979) are inconsistent by
% 179.11/26.86 | | | | | | | | | | | | | | | sub-proof #613.
% 179.11/26.86 | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | Case 2:
% 179.11/26.86 | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | (8980) all_12_13 = e4 | all_12_14 = e4 | all_12_15 = e4 |
% 179.11/26.86 | | | | | | | | | | | | | | | all_12_19 = e4
% 179.11/26.86 | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | BETA: splitting (402) gives:
% 179.11/26.86 | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | Case 1:
% 179.11/26.86 | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | (8981) all_12_0 = e2
% 179.11/26.86 | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | COMBINE_EQS: (8438), (8981) imply:
% 179.11/26.86 | | | | | | | | | | | | | | | | (8982) e2 = e0
% 179.11/26.86 | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | SIMP: (8982) implies:
% 179.11/26.86 | | | | | | | | | | | | | | | | (8983) e2 = e0
% 179.11/26.86 | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | REDUCE: (6), (8983) imply:
% 179.11/26.86 | | | | | | | | | | | | | | | | (8984) $false
% 179.11/26.86 | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | CLOSE: (8984) is inconsistent.
% 179.11/26.86 | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | Case 2:
% 179.11/26.86 | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | (8985) ~ (all_12_0 = e2)
% 179.11/26.86 | | | | | | | | | | | | | | | | (8986) all_12_1 = e2 | all_12_4 = e2 | all_12_9 = e2 |
% 179.11/26.86 | | | | | | | | | | | | | | | | all_12_16 = e2
% 179.11/26.86 | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | REDUCE: (8438), (8985) imply:
% 179.11/26.86 | | | | | | | | | | | | | | | | (8987) ~ (e2 = e0)
% 179.11/26.86 | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 179.11/26.86 | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.86 | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | (8988) all_8_16 = e4
% 179.11/26.86 | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | COMBINE_EQS: (580), (8988) imply:
% 179.11/26.86 | | | | | | | | | | | | | | | | | (8989) all_4_11 = e4
% 179.11/26.86 | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | SIMP: (8989) implies:
% 179.11/26.86 | | | | | | | | | | | | | | | | | (8990) all_4_11 = e4
% 179.11/26.86 | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | REDUCE: (710), (8990) imply:
% 179.11/26.86 | | | | | | | | | | | | | | | | | (8991) ~ (all_4_6 = e4)
% 179.11/26.86 | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (58), (454), (462), (658), (664), (8432),
% 179.11/26.86 | | | | | | | | | | | | | | | | | (8435), (8954), (8967), (8991), (function-axioms)
% 179.11/26.86 | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #290.
% 179.11/26.86 | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.86 | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | (8992) ~ (all_8_16 = e4)
% 179.11/26.86 | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | REDUCE: (580), (8992) imply:
% 179.11/26.86 | | | | | | | | | | | | | | | | | (8993) ~ (all_4_11 = e4)
% 179.11/26.86 | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | BETA: splitting (8980) gives:
% 179.11/26.86 | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.86 | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | (8994) all_12_13 = e4
% 179.11/26.86 | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | REF_CLOSE: (662), (8993), (8994) are inconsistent by
% 179.11/26.86 | | | | | | | | | | | | | | | | | | sub-proof #604.
% 179.11/26.86 | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.86 | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | (8995) all_12_14 = e4 | all_12_15 = e4 | all_12_19 = e4
% 179.11/26.86 | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | BETA: splitting (8995) gives:
% 179.11/26.86 | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | (8996) all_12_14 = e4
% 179.11/26.86 | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (661), (8996) imply:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | (8997) all_4_13 = e4
% 179.11/26.86 | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | SIMP: (8997) implies:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | (8998) all_4_13 = e4
% 179.11/26.86 | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | REDUCE: (733), (8998) imply:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | (8999) ~ (all_4_8 = e4)
% 179.11/26.86 | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | BETA: splitting (380) gives:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | (9000) all_12_6 = e3
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (9000) imply:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | (9001) all_4_4 = e3
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | SIMP: (9001) implies:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | (9002) all_4_4 = e3
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (463), (9002) imply:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | (9003) all_10_52 = e3
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | REDUCE: (8762), (9002) imply:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | (9004) ~ (e4 = e3)
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | BETA: splitting (8466) gives:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | (9005) all_10_51 = e3
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (8971), (9005) are inconsistent by sub-proof
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | #612.
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | (9006) all_10_52 = e2 | all_10_53 = e1 | all_10_54 = e0
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9006) gives:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | (9007) all_10_52 = e2
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (9003), (9007) are inconsistent by sub-proof
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | #374.
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | (9008) all_10_53 = e1 | all_10_54 = e0
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (424), (534), (8448), (8958), (8961), (8974),
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | (9008), (function-axioms) are inconsistent by
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | sub-proof #372.
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | (9009) ~ (all_12_6 = e3)
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | REDUCE: (665), (9009) imply:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | (9010) ~ (all_4_4 = e3)
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | BETA: splitting (394) gives:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | (9011) all_12_1 = e2
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (9011) imply:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | (9012) all_4_2 = e2
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | REDUCE: (701), (9012) imply:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | (9013) ~ (all_4_5 = e2)
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | SIMP: (9013) implies:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | (9014) ~ (all_4_5 = e2)
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (40), (488), (500), (516), (8450), (8461),
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | (8946), (8952), (8975), (9014), (function-axioms)
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #289.
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | (9015) ~ (all_12_1 = e2)
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | REDUCE: (666), (9015) imply:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | (9016) ~ (all_4_2 = e2)
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (379) gives:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | (9017) all_12_6 = e2
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (9017) imply:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | (9018) all_4_4 = e2
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | SIMP: (9018) implies:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | (9019) all_4_4 = e2
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (9019) imply:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | (9020) op(e2, all_4_5) = e4
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (802), (9019) imply:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | (9021) op(e2, e2) = all_10_35
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_8,
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | all_10_35, e2, e2, simplifying with (29), (9021)
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | (9022) all_10_35 = all_4_8
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8986) gives:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | | (9023) all_12_1 = e2
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (9023) imply:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | | (9024) all_4_2 = e2
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9016), (9024) imply:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | | (9025) $false
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9025) is inconsistent.
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | | (9026) all_12_4 = e2 | all_12_9 = e2 | all_12_16 = e2
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9026) gives:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | | | (9027) all_12_4 = e2
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (9027) imply:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | | | (9028) all_4_5 = e2
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9020), (9028) imply:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | | | (9029) op(e2, e2) = e4
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (8999), (9029), (function-axioms) are
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #736.
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | | | (9030) ~ (all_12_4 = e2)
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (498), (9030) imply:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | | | (9031) ~ (all_4_5 = e2)
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (40), (488), (500), (516), (8450), (8461),
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | | | (8946), (8952), (8975), (9031), (function-axioms)
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #289.
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | (9032) ~ (all_12_6 = e2)
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (665), (9032) imply:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | (9033) ~ (all_4_4 = e2)
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8761) gives:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | | (9034) all_8_10 = e3
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (568), (9010), (9034) are inconsistent by
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #661.
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | | (9035) all_8_10 = e2 | all_8_10 = e1 | all_8_10 = e0
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8466) gives:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | | | (9036) all_10_51 = e3
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (8971), (9036) are inconsistent by sub-proof
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | | | #612.
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | | | (9037) all_10_52 = e2 | all_10_53 = e1 | all_10_54 = e0
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (424), (463), (534), (568), (682), (8444), (8448),
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | | | (9033), (9035), (9037) are inconsistent by
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #382.
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.86 | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | (9038) all_12_15 = e4 | all_12_19 = e4
% 179.11/26.86 | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (430), (660), (8434), (8956), (9038) are
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #359.
% 179.11/26.86 | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.86 | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | End of split
% 179.11/26.86 | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | End of split
% 179.11/26.86 | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | End of split
% 179.11/26.86 | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | End of split
% 179.11/26.86 | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | Case 2:
% 179.11/26.86 | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | (9039) all_12_6 = e4 | all_12_12 = e4 | all_12_20 = e4
% 179.11/26.86 | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | BETA: splitting (9039) gives:
% 179.11/26.86 | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | Case 1:
% 179.11/26.86 | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | (9040) all_12_6 = e4
% 179.11/26.86 | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | REF_CLOSE: (665), (8762), (9040) are inconsistent by
% 179.11/26.86 | | | | | | | | | | | | | | | sub-proof #780.
% 179.11/26.86 | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | Case 2:
% 179.11/26.86 | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | (9041) all_12_12 = e4 | all_12_20 = e4
% 179.11/26.86 | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | REF_CLOSE: (12), (41), (446), (657), (8428), (8957), (8958),
% 179.11/26.86 | | | | | | | | | | | | | | | (9041), (function-axioms) are inconsistent by
% 179.11/26.86 | | | | | | | | | | | | | | | sub-proof #473.
% 179.11/26.86 | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | End of split
% 179.11/26.86 | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | End of split
% 179.11/26.86 | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | End of split
% 179.11/26.86 | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | Case 2:
% 179.11/26.86 | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | (9042) ~ (all_8_3 = e4)
% 179.11/26.86 | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | REDUCE: (594), (9042) imply:
% 179.11/26.86 | | | | | | | | | | | | (9043) ~ (all_4_10 = e4)
% 179.11/26.86 | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | BETA: splitting (8948) gives:
% 179.11/26.86 | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | Case 1:
% 179.11/26.86 | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | (9044) all_12_1 = e4
% 179.11/26.86 | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | COMBINE_EQS: (666), (9044) imply:
% 179.11/26.86 | | | | | | | | | | | | | (9045) all_4_2 = e4
% 179.11/26.86 | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | REDUCE: (8946), (9045) imply:
% 179.11/26.86 | | | | | | | | | | | | | (9046) $false
% 179.11/26.86 | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | CLOSE: (9046) is inconsistent.
% 179.11/26.86 | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | Case 2:
% 179.11/26.86 | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | (9047) all_12_4 = e4 | all_12_9 = e4 | all_12_16 = e4
% 179.11/26.86 | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | BETA: splitting (9047) gives:
% 179.11/26.86 | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | Case 1:
% 179.11/26.86 | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | (9048) all_12_4 = e4
% 179.11/26.86 | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | COMBINE_EQS: (498), (9048) imply:
% 179.11/26.86 | | | | | | | | | | | | | | (9049) all_4_5 = e4
% 179.11/26.86 | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | SIMP: (9049) implies:
% 179.11/26.86 | | | | | | | | | | | | | | (9050) all_4_5 = e4
% 179.11/26.86 | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | COMBINE_EQS: (516), (9050) imply:
% 179.11/26.86 | | | | | | | | | | | | | | (9051) all_10_60 = e4
% 179.11/26.86 | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | REDUCE: (722), (9050) imply:
% 179.11/26.86 | | | | | | | | | | | | | | (9052) ~ (all_4_7 = e4)
% 179.11/26.86 | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | SIMP: (9052) implies:
% 179.11/26.86 | | | | | | | | | | | | | | (9053) ~ (all_4_7 = e4)
% 179.11/26.86 | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | REDUCE: (724), (9050) imply:
% 179.11/26.86 | | | | | | | | | | | | | | (9054) ~ (all_4_13 = e4)
% 179.11/26.86 | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | SIMP: (9054) implies:
% 179.11/26.86 | | | | | | | | | | | | | | (9055) ~ (all_4_13 = e4)
% 179.11/26.86 | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | REDUCE: (61), (9050) imply:
% 179.11/26.86 | | | | | | | | | | | | | | (9056) op(e4, all_4_4) = e2
% 179.11/26.86 | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | REDUCE: (777), (9050) imply:
% 179.11/26.86 | | | | | | | | | | | | | | (9057) op(e4, e2) = all_10_2
% 179.11/26.86 | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | REDUCE: (794), (9050) imply:
% 179.11/26.86 | | | | | | | | | | | | | | (9058) op(e4, e4) = all_10_27
% 179.11/26.86 | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | REDUCE: (39), (9050) imply:
% 179.11/26.86 | | | | | | | | | | | | | | (9059) op(e4, e2) = e4
% 179.11/26.86 | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_10_2,
% 179.11/26.86 | | | | | | | | | | | | | | e2, e4, simplifying with (9057), (9059) gives:
% 179.11/26.86 | | | | | | | | | | | | | | (9060) all_10_2 = e4
% 179.11/26.86 | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 179.11/26.86 | | | | | | | | | | | | | | all_10_27, e4, e4, simplifying with (8435), (9058)
% 179.11/26.86 | | | | | | | | | | | | | | gives:
% 179.11/26.86 | | | | | | | | | | | | | | (9061) all_10_27 = e0
% 179.11/26.86 | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 179.11/26.86 | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | Case 1:
% 179.11/26.86 | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | (9062) all_8_15 = e4
% 179.11/26.86 | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | COMBINE_EQS: (570), (9062) imply:
% 179.11/26.86 | | | | | | | | | | | | | | | (9063) all_4_9 = e4
% 179.11/26.86 | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | SIMP: (9063) implies:
% 179.11/26.86 | | | | | | | | | | | | | | | (9064) all_4_9 = e4
% 179.11/26.86 | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | COMBINE_EQS: (534), (9064) imply:
% 179.11/26.86 | | | | | | | | | | | | | | | (9065) all_10_53 = e4
% 179.11/26.86 | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | COMBINE_EQS: (446), (9064) imply:
% 179.11/26.86 | | | | | | | | | | | | | | | (9066) all_12_12 = e4
% 179.11/26.86 | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | REDUCE: (676), (9064) imply:
% 179.11/26.86 | | | | | | | | | | | | | | | (9067) ~ (all_4_1 = e4)
% 179.11/26.86 | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | REDUCE: (688), (9064) imply:
% 179.11/26.86 | | | | | | | | | | | | | | | (9068) ~ (all_4_16 = e4)
% 179.11/26.86 | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | REDUCE: (57), (9064) imply:
% 179.11/26.86 | | | | | | | | | | | | | | | (9069) op(e4, all_4_10) = e4
% 179.11/26.86 | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | REDUCE: (770), (9064) imply:
% 179.11/26.86 | | | | | | | | | | | | | | | (9070) op(e4, e4) = all_10_15
% 179.11/26.86 | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 179.11/26.86 | | | | | | | | | | | | | | | all_10_15, e4, e4, simplifying with (8435), (9070)
% 179.11/26.86 | | | | | | | | | | | | | | | gives:
% 179.11/26.86 | | | | | | | | | | | | | | | (9071) all_10_15 = e0
% 179.11/26.86 | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_28,
% 179.11/26.86 | | | | | | | | | | | | | | | e4, all_4_10, e4, simplifying with (795), (9069)
% 179.11/26.86 | | | | | | | | | | | | | | | gives:
% 179.11/26.86 | | | | | | | | | | | | | | | (9072) all_10_28 = e4
% 179.11/26.86 | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | BETA: splitting (391) gives:
% 179.11/26.86 | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | Case 1:
% 179.11/26.86 | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | (9073) all_12_2 = e4
% 179.11/26.86 | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | REF_CLOSE: (486), (9067), (9073) are inconsistent by
% 179.11/26.86 | | | | | | | | | | | | | | | | sub-proof #695.
% 179.11/26.86 | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | Case 2:
% 179.11/26.86 | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | (9074) all_12_3 = e4 | all_12_5 = e4 | all_12_10 = e4 |
% 179.11/26.86 | | | | | | | | | | | | | | | | all_12_17 = e4
% 179.11/26.86 | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | BETA: splitting (400) gives:
% 179.11/26.86 | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.86 | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | (9075) all_12_0 = e1
% 179.11/26.86 | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8438), (9075) are inconsistent by sub-proof
% 179.11/26.86 | | | | | | | | | | | | | | | | | #302.
% 179.11/26.86 | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.86 | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | (9076) ~ (all_12_0 = e1)
% 179.11/26.86 | | | | | | | | | | | | | | | | | (9077) all_12_1 = e1 | all_12_4 = e1 | all_12_9 = e1 |
% 179.11/26.86 | | | | | | | | | | | | | | | | | all_12_16 = e1
% 179.11/26.86 | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | REDUCE: (8438), (9076) imply:
% 179.11/26.86 | | | | | | | | | | | | | | | | | (9078) ~ (e1 = e0)
% 179.11/26.86 | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | BETA: splitting (403) gives:
% 179.11/26.86 | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.86 | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | (9079) all_12_0 = e3
% 179.11/26.86 | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8438), (9079) are inconsistent by sub-proof
% 179.11/26.86 | | | | | | | | | | | | | | | | | | #312.
% 179.11/26.86 | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.86 | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | (9080) ~ (all_12_0 = e3)
% 179.11/26.86 | | | | | | | | | | | | | | | | | | (9081) all_12_2 = e3 | all_12_6 = e3 | all_12_12 = e3 |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | all_12_20 = e3
% 179.11/26.86 | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | REDUCE: (8438), (9080) imply:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | (9082) ~ (e3 = e0)
% 179.11/26.86 | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | BETA: splitting (399) gives:
% 179.11/26.86 | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | (9083) all_12_0 = e1
% 179.11/26.86 | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8438), (9083) are inconsistent by sub-proof
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | #302.
% 179.11/26.86 | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | (9084) all_12_2 = e1 | all_12_6 = e1 | all_12_12 = e1 |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | all_12_20 = e1
% 179.11/26.86 | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | (9085) all_8_8 = e4
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (595), (9085) imply:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | (9086) all_4_12 = e4
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | SIMP: (9086) implies:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | (9087) all_4_12 = e4
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | REDUCE: (708), (9087) imply:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | (9088) ~ (all_4_3 = e4)
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (9087) imply:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | (9089) ~ (all_4_15 = e4)
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | SIMP: (9089) implies:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | (9090) ~ (all_4_15 = e4)
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | BETA: splitting (360) gives:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | (9091) all_12_20 = e2
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (9091) imply:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | (9092) all_4_16 = e2
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | SIMP: (9092) implies:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | (9093) all_4_16 = e2
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (424), (9093) imply:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | (9094) all_10_54 = e2
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | REDUCE: (683), (9093) imply:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | (9095) ~ (all_4_4 = e2)
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8466) gives:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | (9096) all_10_51 = e3
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (512), (9096) imply:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | (9097) all_4_1 = e3
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | SIMP: (9097) implies:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | (9098) all_4_1 = e3
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (9098) imply:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | (9099) all_12_2 = e3
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (675), (9098) imply:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | (9100) ~ (all_4_4 = e3)
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | SIMP: (9100) implies:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | (9101) ~ (all_4_4 = e3)
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (65), (9098) imply:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | (9102) op(e3, all_4_2) = e4
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (797), (9098) imply:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | (9103) op(e3, e3) = all_10_30
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8761) gives:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | | (9104) all_8_10 = e3
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (568), (9101), (9104) are inconsistent by
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #661.
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | | (9105) all_8_10 = e2 | all_8_10 = e1 | all_8_10 = e0
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9084) gives:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | | | (9106) all_12_2 = e1
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9099), (9106) imply:
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | | | (9107) e3 = e1
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.86 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (9107) imply:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | (9108) $false
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9108) is inconsistent.
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | (9109) all_12_6 = e1 | all_12_12 = e1 | all_12_20 = e1
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9109) gives:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | (9110) all_12_6 = e1
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (9110) imply:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | (9111) all_4_4 = e1
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9111) implies:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | (9112) all_4_4 = e1
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9056), (9112) imply:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | (9113) op(e4, e1) = e2
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_3,
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | all_10_30, e3, e3, simplifying with (35), (9103)
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | (9114) all_10_30 = all_4_3
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_10, e2,
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | e1, e4, simplifying with (38), (9113) gives:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | (9115) all_4_10 = e2
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (528), (9115) imply:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | (9116) all_10_65 = e2
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (702), (9115) imply:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | (9117) ~ (all_4_2 = e2)
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (746), (9115) imply:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | (9118) ~ (all_4_17 = e2)
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9118) implies:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | (9119) ~ (all_4_17 = e2)
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9043), (9115) imply:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | (9120) ~ (e4 = e2)
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8461) gives:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (9121) all_10_55 = e3
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (500), (9121) imply:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (9122) all_4_2 = e3
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9102), (9122) imply:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (9123) op(e3, e3) = e4
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (9088), (9123), (function-axioms) are
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #704.
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (9124) ~ (all_10_55 = e3)
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (9125) all_10_60 = e2 | all_10_65 = e1 | all_10_70 = e0
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (500), (9124) imply:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (9126) ~ (all_4_2 = e3)
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8945) gives:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9127) all_8_1 = e3
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (574), (9126), (9127) are inconsistent by
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #747.
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9128) all_8_1 = e2 | all_8_1 = e1 | all_8_1 = e0
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9128) gives:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9129) all_8_1 = e2
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (574), (9117), (9129) are inconsistent by
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #746.
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9130) ~ (all_8_1 = e2)
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9131) all_8_1 = e1 | all_8_1 = e0
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9131) gives:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9132) all_8_1 = e1
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (574), (9132) imply:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9133) all_4_2 = e1
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9133) implies:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9134) all_4_2 = e1
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (703), (9134) imply:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9135) ~ (all_4_17 = e1)
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9135) implies:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9136) ~ (all_4_17 = e1)
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9117), (9134) imply:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9137) ~ (e2 = e1)
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8453) gives:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9138) all_8_4 = e3
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (603), (9138) imply:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9139) all_4_17 = e3
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9139) implies:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9140) all_4_17 = e3
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (9140) imply:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9141) all_10_70 = e3
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9125) gives:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9142) all_10_60 = e2
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (9051), (9142) are inconsistent by sub-proof
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #388.
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9143) all_10_65 = e1 | all_10_70 = e0
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9143) gives:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9144) all_10_65 = e1
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9116), (9144) are inconsistent by sub-proof
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #308.
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9145) all_10_70 = e0
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9141), (9145) are inconsistent by sub-proof
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #391.
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9146) all_8_4 = e2 | all_8_4 = e1 | all_8_4 = e0
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (603), (8450), (9119), (9136), (9146) are
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #368.
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9147) all_8_1 = e0
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (574), (8442), (9147) are inconsistent by
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #597.
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | (9148) ~ (all_12_6 = e1)
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (665), (9148) imply:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | (9149) ~ (all_4_4 = e1)
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (568), (8444), (9095), (9105), (9149) are
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #716.
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | (9150) ~ (all_10_51 = e3)
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | (9151) all_10_52 = e2 | all_10_53 = e1 | all_10_54 = e0
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10), (12), (14), (463), (486), (512), (665),
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | (9065), (9066), (9081), (9091), (9094), (9095),
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | (9150), (9151) are inconsistent by sub-proof #293.
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | (9152) ~ (all_12_20 = e2)
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | REDUCE: (657), (9152) imply:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | (9153) ~ (all_4_16 = e2)
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (361) gives:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | (9154) all_12_20 = e3
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (9154) imply:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | (9155) all_4_16 = e3
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | SIMP: (9155) implies:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | (9156) all_4_16 = e3
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (424), (9156) imply:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | (9157) all_10_54 = e3
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (677), (9156) imply:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | (9158) ~ (all_4_1 = e3)
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8466) gives:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | (9159) all_10_51 = e3
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (512), (9158), (9159) are inconsistent by
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #623.
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | (9160) all_10_52 = e2 | all_10_53 = e1 | all_10_54 = e0
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9160) gives:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | (9161) all_10_52 = e2
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (463), (9161) imply:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | (9162) all_4_4 = e2
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8762), (9056), (9059), (9162), (function-axioms)
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #417.
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | (9163) all_10_53 = e1 | all_10_54 = e0
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12), (9065), (9157), (9163) are inconsistent
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #504.
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | (9164) ~ (all_12_20 = e3)
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (657), (9164) imply:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | (9165) ~ (all_4_16 = e3)
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8456) gives:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | (9166) all_8_20 = e3
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (572), (9165), (9166) are inconsistent by
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #579.
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | (9167) ~ (all_8_20 = e3)
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | (9168) all_8_20 = e2 | all_8_20 = e1 | all_8_20 = e0
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9168) gives:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | (9169) all_8_20 = e2
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (572), (9153), (9169) are inconsistent by
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #616.
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | (9170) ~ (all_8_20 = e2)
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | (9171) all_8_20 = e1 | all_8_20 = e0
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9171) gives:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | (9172) all_8_20 = e1
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (572), (9172) imply:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | (9173) all_4_16 = e1
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9173) implies:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | (9174) all_4_16 = e1
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8428), (9174) imply:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | (9175) ~ (e4 = e1)
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9165), (9174) imply:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | (9176) ~ (e3 = e1)
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9153), (9174) imply:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | (9177) ~ (e2 = e1)
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (50), (9174) imply:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | (9178) op(e1, all_4_17) = e4
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (373) gives:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (9179) all_12_9 = e1
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (9179) imply:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (9180) all_4_10 = e1
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (9043), (9069), (9180), (function-axioms)
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #583.
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (9181) ~ (all_12_9 = e1)
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (494), (9181) imply:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (9182) ~ (all_4_10 = e1)
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8461) gives:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9183) all_10_55 = e3
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (500), (9183) imply:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9184) all_4_2 = e3
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9184) implies:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9185) all_4_2 = e3
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (9185) imply:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9186) all_12_1 = e3
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (703), (9185) imply:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9187) ~ (all_4_17 = e3)
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9187) implies:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9188) ~ (all_4_17 = e3)
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9077) gives:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9189) all_12_1 = e1
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9186), (9189) imply:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9190) e3 = e1
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (9190) imply:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9191) $false
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9191) is inconsistent.
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9192) all_12_4 = e1 | all_12_9 = e1 | all_12_16 = e1
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8453) gives:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9193) all_8_4 = e3
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (603), (9188), (9193) are inconsistent by
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #711.
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9194) all_8_4 = e2 | all_8_4 = e1 | all_8_4 = e0
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9192) gives:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9195) all_12_4 = e1
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9048), (9195) imply:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9196) e4 = e1
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (9196) imply:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9197) $false
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9197) is inconsistent.
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9198) all_12_9 = e1 | all_12_16 = e1
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (23), (494), (603), (659), (8450), (9090),
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9178), (9182), (9194), (9198), (function-axioms)
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #295.
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9199) all_10_60 = e2 | all_10_65 = e1 | all_10_70 = e0
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (488), (528), (8450), (9051), (9182), (9199)
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #353.
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | (9200) all_8_20 = e0
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (572), (8448), (9200) are inconsistent by
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #634.
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | (9201) ~ (all_8_8 = e4)
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | REDUCE: (595), (9201) imply:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | (9202) ~ (all_4_12 = e4)
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (63), (470), (478), (482), (663), (8431),
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | (8435), (9053), (9074), (9202), (function-axioms)
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #298.
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.87 | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.87 | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | End of split
% 179.11/26.87 | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | End of split
% 179.11/26.87 | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | End of split
% 179.11/26.87 | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | Case 2:
% 179.11/26.87 | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | (9203) ~ (all_8_15 = e4)
% 179.11/26.87 | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | REDUCE: (570), (9203) imply:
% 179.11/26.87 | | | | | | | | | | | | | | | (9204) ~ (all_4_9 = e4)
% 179.11/26.87 | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | BETA: splitting (8765) gives:
% 179.11/26.87 | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | Case 1:
% 179.11/26.87 | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | (9205) all_12_2 = e4
% 179.11/26.87 | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (9205) imply:
% 179.11/26.87 | | | | | | | | | | | | | | | | (9206) all_4_1 = e4
% 179.11/26.87 | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | SIMP: (9206) implies:
% 179.11/26.87 | | | | | | | | | | | | | | | | (9207) all_4_1 = e4
% 179.11/26.87 | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | COMBINE_EQS: (512), (9207) imply:
% 179.11/26.87 | | | | | | | | | | | | | | | | (9208) all_10_51 = e4
% 179.11/26.87 | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | REDUCE: (678), (9207) imply:
% 179.11/26.87 | | | | | | | | | | | | | | | | (9209) ~ (all_4_3 = e4)
% 179.11/26.87 | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | SIMP: (9209) implies:
% 179.11/26.87 | | | | | | | | | | | | | | | | (9210) ~ (all_4_3 = e4)
% 179.11/26.87 | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | REDUCE: (675), (9207) imply:
% 179.11/26.87 | | | | | | | | | | | | | | | | (9211) ~ (all_4_4 = e4)
% 179.11/26.87 | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | REDUCE: (676), (9207) imply:
% 179.11/26.87 | | | | | | | | | | | | | | | | (9212) ~ (all_4_9 = e4)
% 179.11/26.87 | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | REDUCE: (65), (9207) imply:
% 179.11/26.87 | | | | | | | | | | | | | | | | (9213) op(e4, all_4_2) = e4
% 179.11/26.87 | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | REDUCE: (768), (9207) imply:
% 179.11/26.87 | | | | | | | | | | | | | | | | (9214) op(e4, e4) = all_10_5
% 179.11/26.87 | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_10_5,
% 179.11/26.87 | | | | | | | | | | | | | | | | e4, e4, simplifying with (8435), (9214) gives:
% 179.11/26.87 | | | | | | | | | | | | | | | | (9215) all_10_5 = e0
% 179.11/26.87 | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_26,
% 179.11/26.87 | | | | | | | | | | | | | | | | e4, all_4_2, e4, simplifying with (793), (9213)
% 179.11/26.87 | | | | | | | | | | | | | | | | gives:
% 179.11/26.87 | | | | | | | | | | | | | | | | (9216) all_10_26 = e4
% 179.11/26.87 | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | BETA: splitting (371) gives:
% 179.11/26.87 | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.87 | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | (9217) all_12_12 = e4
% 179.11/26.87 | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (9204), (9217) are inconsistent by
% 179.11/26.87 | | | | | | | | | | | | | | | | | sub-proof #613.
% 179.11/26.87 | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.87 | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | (9218) all_12_13 = e4 | all_12_14 = e4 | all_12_15 = e4 |
% 179.11/26.87 | | | | | | | | | | | | | | | | | all_12_19 = e4
% 179.11/26.87 | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | BETA: splitting (396) gives:
% 179.11/26.87 | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.87 | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | (9219) all_12_1 = e4
% 179.11/26.87 | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (9219) imply:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | (9220) all_4_2 = e4
% 179.11/26.87 | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | REDUCE: (8946), (9220) imply:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | (9221) $false
% 179.11/26.87 | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | CLOSE: (9221) is inconsistent.
% 179.11/26.87 | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.87 | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | (9222) all_12_3 = e4 | all_12_7 = e4 | all_12_13 = e4 |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | all_12_21 = e4
% 179.11/26.87 | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | BETA: splitting (403) gives:
% 179.11/26.87 | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | (9223) all_12_0 = e3
% 179.11/26.87 | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8438), (9223) are inconsistent by sub-proof
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | #312.
% 179.11/26.87 | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | (9224) all_12_2 = e3 | all_12_6 = e3 | all_12_12 = e3 |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | all_12_20 = e3
% 179.11/26.87 | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | (9225) all_8_11 = e4
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (578), (9225) imply:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | (9226) all_4_6 = e4
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | SIMP: (9226) implies:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | (9227) all_4_6 = e4
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | REDUCE: (710), (9227) imply:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | (9228) ~ (all_4_11 = e4)
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | SIMP: (9228) implies:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | (9229) ~ (all_4_11 = e4)
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | BETA: splitting (9218) gives:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | (9230) all_12_13 = e4
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (662), (9229), (9230) are inconsistent by
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | sub-proof #604.
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | (9231) all_12_14 = e4 | all_12_15 = e4 | all_12_19 = e4
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9231) gives:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | (9232) all_12_14 = e4
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (661), (9055), (9232) are inconsistent by
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | sub-proof #603.
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | (9233) all_12_15 = e4 | all_12_19 = e4
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9233) gives:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | (9234) all_12_15 = e4
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (660), (9234) imply:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | (9235) all_4_15 = e4
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9235) implies:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | (9236) all_4_15 = e4
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (9236) imply:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | (9237) op(e4, e4) = e1
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (41), (8435), (9237), (function-axioms) are
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #632.
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | (9238) all_12_19 = e4
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (430), (8434), (9238) are inconsistent by
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #593.
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | (9239) ~ (all_8_11 = e4)
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | REDUCE: (578), (9239) imply:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | (9240) ~ (all_4_6 = e4)
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | BETA: splitting (9222) gives:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | (9241) all_12_3 = e4
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (482), (9210), (9241) are inconsistent by
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | sub-proof #292.
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | (9242) all_12_7 = e4 | all_12_13 = e4 | all_12_21 = e4
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9242) gives:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | (9243) all_12_7 = e4
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (462), (9240), (9243) are inconsistent by
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | sub-proof #291.
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | (9244) all_12_13 = e4 | all_12_21 = e4
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9244) gives:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | (9245) all_12_13 = e4
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (662), (9245) imply:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | (9246) all_4_11 = e4
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9246) implies:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | (9247) all_4_11 = e4
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (717), (9247) imply:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | (9248) ~ (all_4_15 = e4)
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9248) implies:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | (9249) ~ (all_4_15 = e4)
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (361) gives:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | (9250) all_12_20 = e3
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (9250) imply:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | (9251) all_4_16 = e3
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9251) implies:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | (9252) all_4_16 = e3
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (50), (9252) imply:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | (9253) op(e3, all_4_17) = e4
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (395) gives:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | (9254) all_12_1 = e3
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (9254) imply:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | (9255) all_4_2 = e3
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (8946), (9213), (9255), (function-axioms)
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #601.
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | (9256) ~ (all_12_1 = e3)
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (666), (9256) imply:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | (9257) ~ (all_4_2 = e3)
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8461) gives:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (9258) all_10_55 = e3
% 179.11/26.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (500), (9257), (9258) are inconsistent by
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #624.
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (9259) ~ (all_10_55 = e3)
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (9260) all_10_60 = e2 | all_10_65 = e1 | all_10_70 = e0
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9260) gives:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9261) all_10_60 = e2
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (9051), (9261) are inconsistent by sub-proof
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | #388.
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9262) all_10_65 = e1 | all_10_70 = e0
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9262) gives:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9263) all_10_65 = e1
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (528), (9263) imply:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9264) all_4_10 = e1
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9264) implies:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9265) all_4_10 = e1
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (702), (9265) imply:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9266) ~ (all_4_2 = e1)
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (746), (9265) imply:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9267) ~ (all_4_17 = e1)
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9267) implies:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9268) ~ (all_4_17 = e1)
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8945) gives:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9269) all_8_1 = e3
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (574), (9257), (9269) are inconsistent by
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #747.
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9270) all_8_1 = e2 | all_8_1 = e1 | all_8_1 = e0
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9270) gives:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9271) all_8_1 = e2
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (574), (9271) imply:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9272) all_4_2 = e2
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9272) implies:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9273) all_4_2 = e2
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (703), (9273) imply:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9274) ~ (all_4_17 = e2)
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9274) implies:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9275) ~ (all_4_17 = e2)
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8453) gives:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9276) all_8_4 = e3
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (603), (9276) imply:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9277) all_4_17 = e3
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9277) implies:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9278) all_4_17 = e3
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9253), (9278) imply:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9279) op(e3, e3) = e4
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (9210), (9279), (function-axioms) are
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #704.
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9280) all_8_4 = e2 | all_8_4 = e1 | all_8_4 = e0
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (603), (8450), (9268), (9275), (9280) are
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #368.
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9281) all_8_1 = e1 | all_8_1 = e0
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (574), (8442), (9266), (9281) are inconsistent by
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #543.
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9282) all_10_70 = e0
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (488), (8450), (9282) are inconsistent by
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #362.
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | (9283) ~ (all_12_20 = e3)
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (657), (9283) imply:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | (9284) ~ (all_4_16 = e3)
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (359) gives:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | (9285) all_12_20 = e1
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (9285) imply:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | (9286) all_4_16 = e1
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9286) implies:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | (9287) all_4_16 = e1
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (688), (9287) imply:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | (9288) ~ (all_4_9 = e1)
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8466) gives:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (9289) all_10_51 = e3
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (9208), (9289) are inconsistent by sub-proof
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | #612.
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (9290) all_10_52 = e2 | all_10_53 = e1 | all_10_54 = e0
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (424), (463), (534), (8448), (8762), (9056),
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (9059), (9288), (9290), (function-axioms) are
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #416.
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | (9291) ~ (all_12_20 = e1)
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (657), (9291) imply:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | (9292) ~ (all_4_16 = e1)
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8456) gives:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (9293) all_8_20 = e3
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (572), (9284), (9293) are inconsistent by
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #579.
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (9294) ~ (all_8_20 = e3)
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (9295) all_8_20 = e2 | all_8_20 = e1 | all_8_20 = e0
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9295) gives:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9296) all_8_20 = e2
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (572), (9296) imply:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9297) all_4_16 = e2
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9297) implies:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9298) all_4_16 = e2
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (424), (9298) imply:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9299) all_10_54 = e2
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (683), (9298) imply:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9300) ~ (all_4_4 = e2)
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8466) gives:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9301) all_10_51 = e3
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (9208), (9301) are inconsistent by sub-proof
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #612.
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9302) ~ (all_10_51 = e3)
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9303) all_10_52 = e2 | all_10_53 = e1 | all_10_54 = e0
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9303) gives:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9304) all_10_52 = e2
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (463), (9300), (9304) are inconsistent by
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #611.
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9305) ~ (all_10_52 = e2)
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9306) all_10_53 = e1 | all_10_54 = e0
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9306) gives:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9307) all_10_53 = e1
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (534), (9307) imply:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9308) all_4_9 = e1
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9308) implies:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9309) all_4_9 = e1
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (9309) imply:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9310) all_12_12 = e1
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (9309) imply:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9311) op(e1, all_4_10) = e4
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (807), (9309) imply:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9312) op(e1, e1) = all_10_40
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9224) gives:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9313) all_12_2 = e3
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9205), (9313) imply:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9314) e4 = e3
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (9314) imply:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9315) $false
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9315) is inconsistent.
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9316) all_12_6 = e3 | all_12_12 = e3 | all_12_20 = e3
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9316) gives:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9317) all_12_6 = e3
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (9317) imply:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9318) all_4_4 = e3
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9318) implies:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9319) all_4_4 = e3
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9056), (9319) imply:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9320) op(e4, e3) = e2
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_15,
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_40, e1, e1, simplifying with (23), (9312)
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9321) all_10_40 = all_4_15
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_2, e2,
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e4, simplifying with (40), (9320) gives:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9322) all_4_2 = e2
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (500), (9322) imply:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9323) all_10_55 = e2
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8946), (9322) imply:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9324) ~ (e4 = e2)
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8461) gives:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9325) all_10_55 = e3
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9323), (9325) imply:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9326) e3 = e2
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9326) implies:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9327) e3 = e2
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (9327) imply:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9328) $false
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9328) is inconsistent.
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9329) all_10_60 = e2 | all_10_65 = e1 | all_10_70 = e0
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9329) gives:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9330) all_10_60 = e2
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (9051), (9330) are inconsistent by sub-proof
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #388.
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9331) all_10_65 = e1 | all_10_70 = e0
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9331) gives:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9332) all_10_65 = e1
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (528), (9249), (9311), (9332),
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #288.
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9333) all_10_70 = e0
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (488), (8450), (9333) are inconsistent by
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #362.
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9334) all_12_12 = e3 | all_12_20 = e3
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (657), (9284), (9310), (9334) are
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #287.
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9335) all_10_54 = e0
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9299), (9335) are inconsistent by sub-proof
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #610.
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9336) all_8_20 = e1 | all_8_20 = e0
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (572), (8448), (9292), (9336) are inconsistent by
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #633.
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | (9337) all_12_21 = e4
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (656), (8430), (9337) are inconsistent by
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #592.
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.88 | | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.88 | | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | | End of split
% 179.11/26.88 | | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | End of split
% 179.11/26.88 | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | Case 2:
% 179.11/26.88 | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | (9338) all_12_6 = e4 | all_12_12 = e4 | all_12_20 = e4
% 179.11/26.88 | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | | REF_CLOSE: (446), (657), (665), (8428), (8762), (9204),
% 179.11/26.88 | | | | | | | | | | | | | | | | (9338) are inconsistent by sub-proof #531.
% 179.11/26.88 | | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | | End of split
% 179.11/26.88 | | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | End of split
% 179.11/26.88 | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | Case 2:
% 179.11/26.88 | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | (9339) all_12_9 = e4 | all_12_16 = e4
% 179.11/26.88 | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | REF_CLOSE: (494), (659), (8429), (9043), (9339) are
% 179.11/26.88 | | | | | | | | | | | | | | inconsistent by sub-proof #505.
% 179.11/26.88 | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | End of split
% 179.11/26.88 | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | End of split
% 179.11/26.88 | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | End of split
% 179.11/26.88 | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | End of split
% 179.11/26.88 | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | End of split
% 179.11/26.88 | | | | | | | | |
% 179.11/26.88 | | | | | | | | End of split
% 179.11/26.88 | | | | | | | |
% 179.11/26.88 | | | | | | | End of split
% 179.11/26.88 | | | | | | |
% 179.11/26.88 | | | | | | End of split
% 179.11/26.88 | | | | | |
% 179.11/26.88 | | | | | End of split
% 179.11/26.88 | | | | |
% 179.11/26.88 | | | | End of split
% 179.11/26.88 | | | |
% 179.11/26.88 | | | End of split
% 179.11/26.88 | | |
% 179.11/26.88 | | Case 2:
% 179.11/26.88 | | |
% 179.11/26.88 | | | (9340) ~ (all_8_24 = e4)
% 179.11/26.88 | | | (9341) all_8_24 = e3 | all_8_24 = e2 | all_8_24 = e1 | all_8_24 = e0
% 179.11/26.88 | | |
% 179.11/26.88 | | | REDUCE: (612), (9340) imply:
% 179.11/26.88 | | | (9342) ~ (all_4_24 = e4)
% 179.11/26.88 | | |
% 179.11/26.88 | | | BETA: splitting (234) gives:
% 179.11/26.88 | | |
% 179.11/26.88 | | | Case 1:
% 179.11/26.88 | | | |
% 179.11/26.88 | | | | (9343) all_8_9 = e4
% 179.11/26.88 | | | |
% 179.11/26.88 | | | | COMBINE_EQS: (606), (9343) imply:
% 179.11/26.88 | | | | (9344) all_4_19 = e4
% 179.11/26.88 | | | |
% 179.11/26.88 | | | | SIMP: (9344) implies:
% 179.11/26.88 | | | | (9345) all_4_19 = e4
% 179.11/26.88 | | | |
% 179.11/26.88 | | | | COMBINE_EQS: (547), (9345) imply:
% 179.11/26.88 | | | | (9346) all_10_71 = e4
% 179.11/26.88 | | | |
% 179.11/26.88 | | | | COMBINE_EQS: (470), (9345) imply:
% 179.11/26.88 | | | | (9347) all_12_17 = e4
% 179.11/26.88 | | | |
% 179.11/26.88 | | | | REDUCE: (681), (9345) imply:
% 179.11/26.88 | | | | (9348) ~ (all_4_1 = e4)
% 179.11/26.88 | | | |
% 179.11/26.88 | | | | REDUCE: (709), (9345) imply:
% 179.11/26.88 | | | | (9349) ~ (all_4_3 = e4)
% 179.11/26.88 | | | |
% 179.11/26.88 | | | | REDUCE: (732), (9345) imply:
% 179.11/26.88 | | | | (9350) ~ (all_4_7 = e4)
% 179.11/26.88 | | | |
% 179.11/26.88 | | | | REDUCE: (750), (9345) imply:
% 179.11/26.88 | | | | (9351) ~ (all_4_12 = e4)
% 179.11/26.88 | | | |
% 179.11/26.88 | | | | REDUCE: (757), (9345) imply:
% 179.11/26.88 | | | | (9352) ~ (all_4_17 = e4)
% 179.11/26.88 | | | |
% 179.11/26.88 | | | | REDUCE: (761), (9345) imply:
% 179.11/26.88 | | | | (9353) ~ (all_4_21 = e4)
% 179.11/26.88 | | | |
% 179.11/26.88 | | | | SIMP: (9353) implies:
% 179.11/26.88 | | | | (9354) ~ (all_4_21 = e4)
% 179.11/26.88 | | | |
% 179.11/26.88 | | | | REDUCE: (762), (9345) imply:
% 179.11/26.88 | | | | (9355) ~ (all_4_23 = e4)
% 179.11/26.88 | | | |
% 179.11/26.88 | | | | SIMP: (9355) implies:
% 179.11/26.88 | | | | (9356) ~ (all_4_23 = e4)
% 179.11/26.88 | | | |
% 179.11/26.88 | | | | REDUCE: (763), (9345) imply:
% 179.11/26.88 | | | | (9357) ~ (all_4_24 = e4)
% 179.11/26.88 | | | |
% 179.11/26.88 | | | | REDUCE: (48), (9345) imply:
% 179.11/26.88 | | | | (9358) op(all_4_18, e4) = e3
% 179.11/26.88 | | | |
% 179.11/26.88 | | | | REDUCE: (47), (9345) imply:
% 179.11/26.88 | | | | (9359) op(e4, all_4_18) = e0
% 179.11/26.88 | | | |
% 179.11/26.88 | | | | REDUCE: (788), (9345) imply:
% 179.11/26.88 | | | | (9360) op(e4, e0) = all_10_9
% 179.11/26.88 | | | |
% 179.11/26.88 | | | | REDUCE: (801), (9345) imply:
% 179.11/26.88 | | | | (9361) op(e3, e4) = all_10_34
% 179.11/26.88 | | | |
% 179.11/26.88 | | | | REDUCE: (32), (9345) imply:
% 179.11/26.88 | | | | (9362) op(e3, e0) = e4
% 179.11/26.88 | | | |
% 179.11/26.88 | | | | GROUND_INST: instantiating (function-axioms) with all_4_1, all_10_34,
% 179.11/26.88 | | | | e4, e3, simplifying with (36), (9361) gives:
% 179.11/26.88 | | | | (9363) all_10_34 = all_4_1
% 179.11/26.88 | | | |
% 179.11/26.88 | | | | GROUND_INST: instantiating (function-axioms) with all_4_17, all_10_9,
% 179.11/26.88 | | | | e0, e4, simplifying with (37), (9360) gives:
% 179.11/26.88 | | | | (9364) all_10_9 = all_4_17
% 179.11/26.88 | | | |
% 179.11/26.88 | | | | BETA: splitting (320) gives:
% 179.11/26.88 | | | |
% 179.11/26.88 | | | | Case 1:
% 179.11/26.88 | | | | |
% 179.11/26.88 | | | | | (9365) all_10_70 = e4
% 179.11/26.88 | | | | |
% 179.11/26.88 | | | | | REF_CLOSE: (488), (9352), (9365) are inconsistent by sub-proof #286.
% 179.11/26.88 | | | | |
% 179.11/26.88 | | | | Case 2:
% 179.11/26.88 | | | | |
% 179.11/26.88 | | | | | (9366) ~ (all_10_70 = e4)
% 179.11/26.88 | | | | | (9367) all_10_71 = e3 | all_10_72 = e2 | all_10_73 = e1 | all_10_74
% 179.11/26.88 | | | | | = e0
% 179.11/26.88 | | | | |
% 179.11/26.88 | | | | | BETA: splitting (327) gives:
% 179.11/26.88 | | | | |
% 179.11/26.88 | | | | | Case 1:
% 179.11/26.88 | | | | | |
% 179.11/26.88 | | | | | | (9368) all_10_51 = e4
% 179.11/26.88 | | | | | |
% 179.11/26.88 | | | | | | REF_CLOSE: (512), (9348), (9368) are inconsistent by sub-proof #472.
% 179.11/26.88 | | | | | |
% 179.11/26.88 | | | | | Case 2:
% 179.11/26.88 | | | | | |
% 179.11/26.88 | | | | | | (9369) ~ (all_10_51 = e4)
% 179.11/26.88 | | | | | | (9370) all_10_56 = e3 | all_10_61 = e2 | all_10_66 = e1 |
% 179.11/26.88 | | | | | | all_10_71 = e0
% 179.11/26.88 | | | | | |
% 179.11/26.88 | | | | | | BETA: splitting (235) gives:
% 179.11/26.88 | | | | | |
% 179.11/26.88 | | | | | | Case 1:
% 179.11/26.88 | | | | | | |
% 179.11/26.88 | | | | | | | (9371) all_8_8 = e4
% 179.11/26.88 | | | | | | |
% 179.11/26.88 | | | | | | | COMBINE_EQS: (595), (9371) imply:
% 179.11/26.88 | | | | | | | (9372) all_4_12 = e4
% 179.11/26.88 | | | | | | |
% 179.11/26.88 | | | | | | | REDUCE: (9351), (9372) imply:
% 179.11/26.88 | | | | | | | (9373) $false
% 179.11/26.88 | | | | | | |
% 179.11/26.88 | | | | | | | CLOSE: (9373) is inconsistent.
% 179.11/26.88 | | | | | | |
% 179.11/26.88 | | | | | | Case 2:
% 179.11/26.88 | | | | | | |
% 179.11/26.88 | | | | | | | (9374) ~ (all_8_8 = e4)
% 179.11/26.88 | | | | | | | (9375) all_8_8 = e3 | all_8_8 = e2 | all_8_8 = e1 | all_8_8 =
% 179.11/26.88 | | | | | | | e0
% 179.11/26.88 | | | | | | |
% 179.11/26.88 | | | | | | | BETA: splitting (236) gives:
% 179.11/26.88 | | | | | | |
% 179.11/26.88 | | | | | | | Case 1:
% 179.11/26.88 | | | | | | | |
% 179.11/26.88 | | | | | | | | (9376) all_8_7 = e4
% 179.11/26.88 | | | | | | | |
% 179.11/26.88 | | | | | | | | REF_CLOSE: (586), (9350), (9376) are inconsistent by sub-proof
% 179.11/26.88 | | | | | | | | #783.
% 179.11/26.88 | | | | | | | |
% 179.11/26.88 | | | | | | | Case 2:
% 179.11/26.88 | | | | | | | |
% 179.11/26.88 | | | | | | | | (9377) ~ (all_8_7 = e4)
% 179.11/26.88 | | | | | | | | (9378) all_8_7 = e3 | all_8_7 = e2 | all_8_7 = e1 | all_8_7 =
% 179.11/26.88 | | | | | | | | e0
% 179.11/26.88 | | | | | | | |
% 179.11/26.88 | | | | | | | | BETA: splitting (238) gives:
% 179.11/26.88 | | | | | | | |
% 179.11/26.88 | | | | | | | | Case 1:
% 179.11/26.88 | | | | | | | | |
% 179.11/26.88 | | | | | | | | | (9379) all_8_5 = e4
% 179.11/26.88 | | | | | | | | |
% 179.11/26.88 | | | | | | | | | REF_CLOSE: (566), (9348), (9379) are inconsistent by sub-proof
% 179.11/26.88 | | | | | | | | | #784.
% 179.11/26.88 | | | | | | | | |
% 179.11/26.88 | | | | | | | | Case 2:
% 179.11/26.88 | | | | | | | | |
% 179.11/26.88 | | | | | | | | | (9380) ~ (all_8_5 = e4)
% 179.11/26.88 | | | | | | | | | (9381) all_8_5 = e3 | all_8_5 = e2 | all_8_5 = e1 | all_8_5
% 179.11/26.88 | | | | | | | | | = e0
% 179.11/26.88 | | | | | | | | |
% 179.11/26.88 | | | | | | | | | BETA: splitting (237) gives:
% 179.11/26.88 | | | | | | | | |
% 179.11/26.88 | | | | | | | | | Case 1:
% 179.11/26.88 | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | (9382) all_8_6 = e4
% 179.11/26.88 | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | REF_CLOSE: (576), (9349), (9382) are inconsistent by
% 179.11/26.88 | | | | | | | | | | sub-proof #285.
% 179.11/26.88 | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | Case 2:
% 179.11/26.88 | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | (9383) ~ (all_8_6 = e4)
% 179.11/26.88 | | | | | | | | | | (9384) all_8_6 = e3 | all_8_6 = e2 | all_8_6 = e1 |
% 179.11/26.88 | | | | | | | | | | all_8_6 = e0
% 179.11/26.88 | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | BETA: splitting (239) gives:
% 179.11/26.88 | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | Case 1:
% 179.11/26.88 | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | (9385) all_8_4 = e4
% 179.11/26.88 | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | REF_CLOSE: (603), (9352), (9385) are inconsistent by
% 179.11/26.88 | | | | | | | | | | | sub-proof #787.
% 179.11/26.88 | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | Case 2:
% 179.11/26.88 | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | (9386) ~ (all_8_4 = e4)
% 179.11/26.88 | | | | | | | | | | | (9387) all_8_4 = e3 | all_8_4 = e2 | all_8_4 = e1 |
% 179.11/26.88 | | | | | | | | | | | all_8_4 = e0
% 179.11/26.88 | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | BETA: splitting (224) gives:
% 179.11/26.88 | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | Case 1:
% 179.11/26.88 | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | (9388) all_8_19 = e4
% 179.11/26.88 | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | REF_CLOSE: (551), (9356), (9388) are inconsistent by
% 179.11/26.88 | | | | | | | | | | | | sub-proof #788.
% 179.11/26.88 | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | Case 2:
% 179.11/26.88 | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | (9389) ~ (all_8_19 = e4)
% 179.11/26.88 | | | | | | | | | | | | (9390) all_8_19 = e3 | all_8_19 = e2 | all_8_19 = e1 |
% 179.11/26.88 | | | | | | | | | | | | all_8_19 = e0
% 179.11/26.88 | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | BETA: splitting (232) gives:
% 179.11/26.88 | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | Case 1:
% 179.11/26.88 | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | (9391) all_8_11 = e4
% 179.11/26.88 | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | COMBINE_EQS: (578), (9391) imply:
% 179.11/26.88 | | | | | | | | | | | | | (9392) all_4_6 = e4
% 179.11/26.88 | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | SIMP: (9392) implies:
% 179.11/26.88 | | | | | | | | | | | | | (9393) all_4_6 = e4
% 179.11/26.88 | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | COMBINE_EQS: (523), (9393) imply:
% 179.11/26.88 | | | | | | | | | | | | | (9394) all_10_57 = e4
% 179.11/26.88 | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | COMBINE_EQS: (462), (9393) imply:
% 179.11/26.88 | | | | | | | | | | | | | (9395) all_12_7 = e4
% 179.11/26.88 | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | REDUCE: (698), (9393) imply:
% 179.11/26.88 | | | | | | | | | | | | | (9396) ~ (all_4_2 = e4)
% 179.11/26.88 | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | REDUCE: (684), (9393) imply:
% 179.11/26.88 | | | | | | | | | | | | | (9397) ~ (all_4_4 = e4)
% 179.11/26.88 | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | REDUCE: (712), (9393) imply:
% 179.11/26.88 | | | | | | | | | | | | | (9398) ~ (all_4_8 = e4)
% 179.11/26.88 | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | SIMP: (9398) implies:
% 179.11/26.88 | | | | | | | | | | | | | (9399) ~ (all_4_8 = e4)
% 179.11/26.88 | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | REDUCE: (710), (9393) imply:
% 179.11/26.88 | | | | | | | | | | | | | (9400) ~ (all_4_11 = e4)
% 179.11/26.88 | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | SIMP: (9400) implies:
% 179.11/26.88 | | | | | | | | | | | | | (9401) ~ (all_4_11 = e4)
% 179.11/26.88 | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | REDUCE: (713), (9393) imply:
% 179.11/26.88 | | | | | | | | | | | | | (9402) ~ (all_4_14 = e4)
% 179.11/26.88 | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | SIMP: (9402) implies:
% 179.11/26.88 | | | | | | | | | | | | | (9403) ~ (all_4_14 = e4)
% 179.11/26.88 | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | REDUCE: (60), (9393) imply:
% 179.11/26.88 | | | | | | | | | | | | | (9404) op(e4, all_4_7) = e3
% 179.11/26.88 | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | BETA: splitting (323) gives:
% 179.11/26.88 | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | Case 1:
% 179.11/26.88 | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | (9405) all_10_55 = e4
% 179.11/26.88 | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | COMBINE_EQS: (500), (9405) imply:
% 179.11/26.88 | | | | | | | | | | | | | | (9406) all_4_2 = e4
% 179.11/26.88 | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | REDUCE: (9396), (9406) imply:
% 179.11/26.88 | | | | | | | | | | | | | | (9407) $false
% 179.11/26.88 | | | | | | | | | | | | | |
% 179.11/26.88 | | | | | | | | | | | | | | CLOSE: (9407) is inconsistent.
% 179.11/26.88 | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | Case 2:
% 179.11/26.89 | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | (9408) ~ (all_10_55 = e4)
% 179.11/26.89 | | | | | | | | | | | | | | (9409) all_10_56 = e3 | all_10_57 = e2 | all_10_58 = e1 |
% 179.11/26.89 | | | | | | | | | | | | | | all_10_59 = e0
% 179.11/26.89 | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | BETA: splitting (326) gives:
% 179.11/26.89 | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | Case 1:
% 179.11/26.89 | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | (9410) all_10_52 = e4
% 179.11/26.89 | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | COMBINE_EQS: (463), (9410) imply:
% 179.11/26.89 | | | | | | | | | | | | | | | (9411) all_4_4 = e4
% 179.11/26.89 | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | REDUCE: (9397), (9411) imply:
% 179.11/26.89 | | | | | | | | | | | | | | | (9412) $false
% 179.11/26.89 | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | CLOSE: (9412) is inconsistent.
% 179.11/26.89 | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | Case 2:
% 179.11/26.89 | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | (9413) ~ (all_10_52 = e4)
% 179.11/26.89 | | | | | | | | | | | | | | | (9414) all_10_57 = e3 | all_10_62 = e2 | all_10_67 = e1 |
% 179.11/26.89 | | | | | | | | | | | | | | | all_10_72 = e0
% 179.11/26.89 | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 179.11/26.89 | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | Case 1:
% 179.11/26.89 | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | (9415) all_8_10 = e4
% 179.11/26.89 | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | REF_CLOSE: (568), (9397), (9415) are inconsistent by
% 179.11/26.89 | | | | | | | | | | | | | | | | sub-proof #781.
% 179.11/26.89 | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | Case 2:
% 179.11/26.89 | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | (9416) ~ (all_8_10 = e4)
% 179.11/26.89 | | | | | | | | | | | | | | | | (9417) all_8_10 = e3 | all_8_10 = e2 | all_8_10 = e1 |
% 179.11/26.89 | | | | | | | | | | | | | | | | all_8_10 = e0
% 179.11/26.89 | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 179.11/26.89 | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.89 | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | (9418) all_8_1 = e4
% 179.11/26.89 | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | REF_CLOSE: (574), (9396), (9418) are inconsistent by
% 179.11/26.89 | | | | | | | | | | | | | | | | | sub-proof #776.
% 179.11/26.89 | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.89 | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | (9419) ~ (all_8_1 = e4)
% 179.11/26.89 | | | | | | | | | | | | | | | | | (9420) all_8_1 = e3 | all_8_1 = e2 | all_8_1 = e1 |
% 179.11/26.89 | | | | | | | | | | | | | | | | | all_8_1 = e0
% 179.11/26.89 | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | BETA: splitting (362) gives:
% 179.11/26.89 | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.89 | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | (9421) all_12_20 = e4
% 179.11/26.89 | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (9421) imply:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | (9422) all_4_16 = e4
% 179.11/26.89 | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | SIMP: (9422) implies:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | (9423) all_4_16 = e4
% 179.11/26.89 | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (424), (9423) imply:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | (9424) all_10_54 = e4
% 179.11/26.89 | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | REDUCE: (670), (9423) imply:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | (9425) ~ (all_4_0 = e4)
% 179.11/26.89 | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | REDUCE: (688), (9423) imply:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | (9426) ~ (all_4_9 = e4)
% 179.11/26.89 | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | REDUCE: (695), (9423) imply:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | (9427) ~ (all_4_22 = e4)
% 179.11/26.89 | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | SIMP: (9427) implies:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | (9428) ~ (all_4_22 = e4)
% 179.11/26.89 | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | REDUCE: (50), (9423) imply:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | (9429) op(e4, all_4_17) = e4
% 179.11/26.89 | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | REDUCE: (771), (9423) imply:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | (9430) op(e4, e4) = all_10_20
% 179.11/26.89 | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_0,
% 179.11/26.89 | | | | | | | | | | | | | | | | | | all_10_20, e4, e4, simplifying with (41), (9430)
% 179.11/26.89 | | | | | | | | | | | | | | | | | | gives:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | (9431) all_10_20 = all_4_0
% 179.11/26.89 | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_29,
% 179.11/26.89 | | | | | | | | | | | | | | | | | | e4, all_4_17, e4, simplifying with (796), (9429)
% 179.11/26.89 | | | | | | | | | | | | | | | | | | gives:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | (9432) all_10_29 = e4
% 179.11/26.89 | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | BETA: splitting (371) gives:
% 179.11/26.89 | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | (9433) all_12_12 = e4
% 179.11/26.89 | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (9426), (9433) are inconsistent by
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | sub-proof #613.
% 179.11/26.89 | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | (9434) all_12_13 = e4 | all_12_14 = e4 | all_12_15 = e4 |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | all_12_19 = e4
% 179.11/26.89 | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | BETA: splitting (376) gives:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | (9435) all_12_9 = e4
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (9435) imply:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | (9436) all_4_10 = e4
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | SIMP: (9436) implies:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | (9437) all_4_10 = e4
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (9437) imply:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | (9438) ~ (all_4_15 = e4)
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | SIMP: (9438) implies:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | (9439) ~ (all_4_15 = e4)
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | BETA: splitting (9434) gives:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | (9440) all_12_13 = e4
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (662), (9401), (9440) are inconsistent by
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | sub-proof #604.
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | (9441) all_12_14 = e4 | all_12_15 = e4 | all_12_19 = e4
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | (9442) all_8_0 = e4
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (564), (9425), (9442) are inconsistent by
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | sub-proof #706.
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | (9443) all_8_0 = e3 | all_8_0 = e2 | all_8_0 = e1 |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | all_8_0 = e0
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (23), (29), (35), (66), (400), (401), (404),
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | (430), (506), (564), (660), (661), (733), (738),
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | (9342), (9349), (9356), (9439), (9441), (9443),
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | #282.
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | (9444) ~ (all_12_9 = e4)
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | (9445) all_12_10 = e4 | all_12_11 = e4 | all_12_15 = e4 |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | all_12_23 = e4
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | REDUCE: (494), (9444) imply:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | (9446) ~ (all_4_10 = e4)
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | BETA: splitting (406) gives:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | (9447) all_12_0 = e4
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (9447) imply:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | (9448) all_4_0 = e4
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | REDUCE: (9425), (9448) imply:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | (9449) $false
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | CLOSE: (9449) is inconsistent.
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | (9450) all_12_1 = e4 | all_12_4 = e4 | all_12_9 = e4 |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | all_12_16 = e4
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9450) gives:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | (9451) all_12_1 = e4
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (9451) imply:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | (9452) all_4_2 = e4
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9396), (9452) imply:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | (9453) $false
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9453) is inconsistent.
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | (9454) all_12_4 = e4 | all_12_9 = e4 | all_12_16 = e4
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9454) gives:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | (9455) all_12_4 = e4
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (9455) imply:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | (9456) all_4_5 = e4
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9456) implies:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | (9457) all_4_5 = e4
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (516), (9457) imply:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | (9458) all_10_60 = e4
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (727), (9457) imply:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | (9459) ~ (all_4_17 = e4)
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (61), (9457) imply:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | (9460) op(e4, all_4_4) = e2
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (777), (9457) imply:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | (9461) op(e4, e2) = all_10_2
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (794), (9457) imply:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | (9462) op(e4, e4) = all_10_27
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (9457) imply:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | (9463) op(e4, e2) = e4
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11), (13), (35), (37), (41), (51), (65),
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | (328), (329), (395), (403), (414), (454), (463),
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | (486), (488), (500), (506), (508), (512), (528),
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | (534), (660), (663), (666), (669), (673), (772),
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | (9349), (9351), (9352), (9397), (9403), (9424),
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | (9425), (9428), (9429), (9445), (9458), (9460),
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | (9461), (9462), (9463), (function-axioms) are
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #383.
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | (9464) all_12_9 = e4 | all_12_16 = e4
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (494), (659), (9352), (9446), (9464) are
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #505.
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.89 | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.89 | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.89 | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | (9465) ~ (all_12_20 = e4)
% 179.11/26.89 | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | REDUCE: (657), (9465) imply:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | (9466) ~ (all_4_16 = e4)
% 179.11/26.89 | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | BETA: splitting (405) gives:
% 179.11/26.89 | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | (9467) all_12_0 = e4
% 179.11/26.89 | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (9467) imply:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | (9468) all_4_0 = e4
% 179.11/26.89 | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | REDUCE: (667), (9468) imply:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | (9469) ~ (all_4_1 = e4)
% 179.11/26.89 | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | REDUCE: (671), (9468) imply:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | (9470) ~ (all_4_2 = e4)
% 179.11/26.89 | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | REDUCE: (668), (9468) imply:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | (9471) ~ (all_4_4 = e4)
% 179.11/26.89 | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | REDUCE: (672), (9468) imply:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | (9472) ~ (all_4_5 = e4)
% 179.11/26.89 | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | SIMP: (9472) implies:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | (9473) ~ (all_4_5 = e4)
% 179.11/26.89 | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | REDUCE: (669), (9468) imply:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | (9474) ~ (all_4_9 = e4)
% 179.11/26.89 | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | SIMP: (9474) implies:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | (9475) ~ (all_4_9 = e4)
% 179.11/26.89 | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | REDUCE: (673), (9468) imply:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | (9476) ~ (all_4_10 = e4)
% 179.11/26.89 | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | SIMP: (9476) implies:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | (9477) ~ (all_4_10 = e4)
% 179.11/26.89 | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | REDUCE: (670), (9468) imply:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | (9478) ~ (all_4_16 = e4)
% 179.11/26.89 | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | REDUCE: (674), (9468) imply:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | (9479) ~ (all_4_17 = e4)
% 179.11/26.89 | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | REDUCE: (767), (9468) imply:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | (9480) op(e4, e4) = all_10_0
% 179.11/26.89 | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | REDUCE: (792), (9468) imply:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | (9481) op(e4, e4) = all_10_25
% 179.11/26.89 | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | REDUCE: (41), (9468) imply:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | (9482) op(e4, e4) = e4
% 179.11/26.89 | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_25,
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | all_10_0, e4, e4, simplifying with (9480), (9481)
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | gives:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | (9483) all_10_0 = all_10_25
% 179.11/26.89 | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_10_0,
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | e4, e4, simplifying with (9480), (9482) gives:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | (9484) all_10_0 = e4
% 179.11/26.89 | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9483), (9484) imply:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | (9485) all_10_25 = e4
% 179.11/26.89 | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | SIMP: (9485) implies:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | (9486) all_10_25 = e4
% 179.11/26.89 | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | BETA: splitting (324) gives:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | (9487) all_10_54 = e4
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (424), (9487) imply:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | (9488) all_4_16 = e4
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | REDUCE: (9466), (9488) imply:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | (9489) $false
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | CLOSE: (9489) is inconsistent.
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | (9490) all_10_59 = e3 | all_10_64 = e2 | all_10_69 = e1 |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | all_10_74 = e0
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | BETA: splitting (371) gives:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | (9491) all_12_12 = e4
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (9475), (9491) are inconsistent by
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | sub-proof #613.
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | (9492) ~ (all_12_12 = e4)
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | (9493) all_12_13 = e4 | all_12_14 = e4 | all_12_15 = e4 |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | all_12_19 = e4
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (376) gives:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | (9494) all_12_9 = e4
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (494), (9477), (9494) are inconsistent by
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | sub-proof #506.
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | (9495) ~ (all_12_9 = e4)
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | (9496) all_12_10 = e4 | all_12_11 = e4 | all_12_15 = e4 |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | all_12_23 = e4
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | (9497) all_8_3 = e4
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (594), (9477), (9497) are inconsistent by
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #789.
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | (9498) all_8_3 = e3 | all_8_3 = e2 | all_8_3 = e1 |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | all_8_3 = e0
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | (9499) all_8_2 = e4
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (9473), (9499) are inconsistent by
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #777.
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | (9500) all_8_2 = e3 | all_8_2 = e2 | all_8_2 = e1 |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | all_8_2 = e0
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | (9501) all_8_15 = e4
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (570), (9475), (9501) are inconsistent by
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #782.
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | (9502) all_8_15 = e3 | all_8_15 = e2 | all_8_15 = e1 |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | all_8_15 = e0
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (9503) all_8_17 = e4
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (590), (9503) imply:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (9504) all_4_13 = e4
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (435), (9504) imply:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (9505) all_10_63 = e4
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (661), (9504) imply:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (9506) all_12_14 = e4
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (738), (9504) imply:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (9507) ~ (all_4_15 = e4)
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9507) implies:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (9508) ~ (all_4_15 = e4)
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9496) gives:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9509) all_12_10 = e4
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (663), (9351), (9509) are inconsistent by
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #628.
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9510) all_12_11 = e4 | all_12_15 = e4 | all_12_23 = e4
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9510) gives:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9511) all_12_11 = e4
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (454), (9403), (9511) are inconsistent by
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #774.
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9512) all_12_15 = e4 | all_12_23 = e4
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9512) gives:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9513) all_12_15 = e4
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (660), (9513) imply:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9514) all_4_15 = e4
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9508), (9514) imply:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9515) $false
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9515) is inconsistent.
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9516) all_12_23 = e4
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (414), (9516) imply:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9517) all_4_22 = e4
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9517) implies:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9518) all_4_22 = e4
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (560), (9518) imply:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9519) all_10_69 = e4
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (720), (9518) imply:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9520) ~ (all_4_18 = e4)
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (740), (9518) imply:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9521) ~ (all_4_20 = e4)
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (786), (9518) imply:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9522) op(e4, e1) = all_10_23
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (9518) imply:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9523) op(e0, e1) = e4
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_10,
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_23, e1, e4, simplifying with (38), (9522)
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9524) all_10_23 = all_4_10
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (325) gives:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9525) all_10_53 = e4
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (534), (9525) imply:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9526) all_4_9 = e4
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9475), (9526) imply:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9527) $false
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9527) is inconsistent.
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9528) ~ (all_10_53 = e4)
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9529) all_10_58 = e3 | all_10_63 = e2 | all_10_68 = e1 |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_73 = e0
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (321) gives:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9530) all_10_65 = e4
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (528), (9477), (9530) are inconsistent by
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #790.
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9531) ~ (all_10_65 = e4)
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9532) all_10_66 = e3 | all_10_67 = e2 | all_10_68 = e1 |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_69 = e0
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (322) gives:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9533) all_10_60 = e4
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (516), (9473), (9533) are inconsistent by
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #685.
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9534) ~ (all_10_60 = e4)
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9535) all_10_61 = e3 | all_10_62 = e2 | all_10_63 = e1 |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_64 = e0
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (363) gives:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9536) all_12_16 = e1
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (9536) imply:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9537) all_4_17 = e1
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (727), (9537) imply:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9538) ~ (all_4_5 = e1)
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (759), (9537) imply:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9539) ~ (all_4_23 = e1)
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9539) implies:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9540) ~ (all_4_23 = e1)
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (760), (9537) imply:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9541) ~ (all_4_24 = e1)
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9541) implies:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9542) ~ (all_4_24 = e1)
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9352), (9537) imply:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9543) ~ (e4 = e1)
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9367) gives:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9544) all_10_71 = e3
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (9346), (9544) are inconsistent by sub-proof
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #281.
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9545) all_10_72 = e2 | all_10_73 = e1 | all_10_74 = e0
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9545) gives:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9546) all_10_72 = e2
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (448), (9546) imply:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9547) all_4_21 = e2
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9547) implies:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9548) all_4_21 = e2
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (753), (9548) imply:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9549) ~ (all_4_14 = e2)
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (765), (9548) imply:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9550) ~ (all_4_24 = e2)
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9550) implies:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9551) ~ (all_4_24 = e2)
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9341) gives:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9552) all_8_24 = e3
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (612), (9552) imply:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9553) all_4_24 = e3
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9553) implies:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9554) all_4_24 = e3
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (721), (9554) imply:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9555) ~ (all_4_18 = e3)
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9342), (9554) imply:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9556) ~ (e4 = e3)
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9490) gives:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9557) all_10_59 = e3
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (420), (9555), (9557) are inconsistent by
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #280.
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9558) all_10_64 = e2 | all_10_69 = e1 | all_10_74 = e0
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9558) gives:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9559) all_10_64 = e2
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (415), (9559) imply:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9560) all_4_20 = e2
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9560) implies:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9561) all_4_20 = e2
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (655), (9561) imply:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9562) all_12_22 = e2
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (734), (9561) imply:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9563) ~ (all_4_8 = e2)
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9414) gives:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9564) all_10_57 = e3
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9394), (9564) imply:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9565) e4 = e3
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (9565) imply:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9566) $false
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9566) is inconsistent.
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9567) all_10_62 = e2 | all_10_67 = e1 | all_10_72 = e0
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9567) gives:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9568) all_10_62 = e2
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (455), (9563), (9568) are inconsistent by
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #365.
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9569) all_10_67 = e1 | all_10_72 = e0
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9569) gives:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9570) all_10_67 = e1
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (532), (9570) imply:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9571) all_4_14 = e1
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9571) implies:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9572) all_4_14 = e1
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (735), (9572) imply:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9573) ~ (all_4_8 = e1)
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (751), (9572) imply:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9574) ~ (all_4_15 = e1)
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9574) implies:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9575) ~ (all_4_15 = e1)
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9549), (9572) imply:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9576) ~ (e2 = e1)
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (383) gives:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9577) all_12_4 = e1
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (9538), (9577) are inconsistent by
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #279.
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9578) all_12_5 = e1 | all_12_8 = e1 | all_12_14 = e1 |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_22 = e1
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9578) gives:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9579) all_12_5 = e1
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (9579) imply:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9580) all_4_7 = e1
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9580) implies:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9581) all_4_7 = e1
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9404), (9581) imply:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9582) op(e4, e1) = e3
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9532) gives:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9583) all_10_66 = e3
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (472), (9583) imply:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9584) all_4_12 = e3
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9584) implies:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9585) all_4_12 = e3
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (742), (9585) imply:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9586) ~ (all_4_10 = e3)
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (9582), (9586), (function-axioms) are
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #520.
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9587) all_10_67 = e2 | all_10_68 = e1 | all_10_69 = e0
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (431), (532), (9519), (9549), (9575), (9587)
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #643.
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9588) all_12_8 = e1 | all_12_14 = e1 | all_12_22 = e1
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9588) gives:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9589) all_12_8 = e1
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (664), (9589) imply:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9590) all_4_8 = e1
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9573), (9590) imply:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9591) $false
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9591) is inconsistent.
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9592) all_12_14 = e1 | all_12_22 = e1
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9592) gives:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9593) all_12_14 = e1
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9506), (9593) imply:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9594) e4 = e1
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9594) implies:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9595) e4 = e1
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (9595) imply:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9596) $false
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9596) is inconsistent.
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9597) all_12_22 = e1
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9562), (9597) are inconsistent by sub-proof
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #278.
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9598) all_10_72 = e0
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9546), (9598) are inconsistent by sub-proof
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #277.
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9599) all_10_69 = e1 | all_10_74 = e0
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (562), (8424), (9519), (9599) are
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #275.
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9600) all_8_24 = e2 | all_8_24 = e1 | all_8_24 = e0
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (612), (8424), (9542), (9551), (9600) are
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #272.
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9601) all_10_73 = e1 | all_10_74 = e0
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (562), (654), (8424), (9540), (9601) are
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #271.
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9602) ~ (all_12_16 = e1)
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (659), (9602) imply:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9603) ~ (all_4_17 = e1)
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (400) gives:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9604) all_12_0 = e1
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9467), (9604) imply:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9605) e4 = e1
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (9605) imply:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9606) $false
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9606) is inconsistent.
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9607) ~ (all_12_0 = e1)
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9608) all_12_1 = e1 | all_12_4 = e1 | all_12_9 = e1 |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_16 = e1
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (365) gives:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9609) all_12_16 = e3
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (9609) imply:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9610) all_4_17 = e3
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (703), (9610) imply:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9611) ~ (all_4_2 = e3)
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (727), (9610) imply:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9612) ~ (all_4_5 = e3)
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (746), (9610) imply:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9613) ~ (all_4_10 = e3)
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (758), (9610) imply:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9614) ~ (all_4_21 = e3)
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9614) implies:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9615) ~ (all_4_21 = e3)
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (759), (9610) imply:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9616) ~ (all_4_23 = e3)
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9616) implies:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9617) ~ (all_4_23 = e3)
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (760), (9610) imply:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9618) ~ (all_4_24 = e3)
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9618) implies:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9619) ~ (all_4_24 = e3)
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9352), (9610) imply:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9620) ~ (e4 = e3)
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (50), (9610) imply:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9621) op(all_4_16, e3) = e4
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (370) gives:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9622) all_12_12 = e3
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (9622) imply:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9623) all_4_9 = e3
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9623) implies:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9624) all_4_9 = e3
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (682), (9624) imply:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9625) ~ (all_4_4 = e3)
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (689), (9624) imply:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9626) ~ (all_4_11 = e3)
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9626) implies:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9627) ~ (all_4_11 = e3)
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (9624) imply:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9628) op(e3, all_4_10) = e4
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (56), (9624) imply:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9629) op(all_4_10, e3) = e1
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (399) gives:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9630) all_12_0 = e1
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9467), (9630) imply:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9631) e4 = e1
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (9631) imply:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9632) $false
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9632) is inconsistent.
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9633) all_12_2 = e1 | all_12_6 = e1 | all_12_12 = e1 |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_20 = e1
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (401) gives:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9634) all_12_0 = e2
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9467), (9634) imply:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9635) e4 = e2
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13), (9635) imply:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9636) $false
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9636) is inconsistent.
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9637) all_12_2 = e2 | all_12_6 = e2 | all_12_12 = e2 |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_20 = e2
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (374) gives:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9638) all_12_9 = e2
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (494), (9350), (9628), (9638),
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #270.
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.11/26.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9639) ~ (all_12_9 = e2)
% 179.54/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (494), (9639) imply:
% 179.54/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9640) ~ (all_4_10 = e2)
% 179.54/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (393) gives:
% 179.54/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9641) all_12_1 = e1
% 179.54/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (594), (666), (700), (702), (9498), (9613),
% 179.54/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9629), (9640), (9641), (function-axioms) are
% 179.54/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #268.
% 179.54/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9642) ~ (all_12_1 = e1)
% 179.54/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (666), (9642) imply:
% 179.54/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9643) ~ (all_4_2 = e1)
% 179.54/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (359) gives:
% 179.54/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9644) all_12_20 = e1
% 179.54/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (9644) imply:
% 179.54/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9645) all_4_16 = e1
% 179.54/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9645) implies:
% 179.54/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9646) all_4_16 = e1
% 179.54/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (696), (9646) imply:
% 179.54/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9647) ~ (all_4_24 = e1)
% 179.54/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9647) implies:
% 179.54/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9648) ~ (all_4_24 = e1)
% 179.54/26.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (14), (431), (439), (448), (562), (612),
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (654), (755), (765), (8424), (9341), (9342),
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9346), (9367), (9505), (9529), (9619), (9627),
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9648) are inconsistent by sub-proof #261.
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9649) ~ (all_12_20 = e1)
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (657), (9649) imply:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9650) ~ (all_4_16 = e1)
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (379) gives:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9651) all_12_6 = e2
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (9651) imply:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9652) all_4_4 = e2
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9652) implies:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9653) all_4_4 = e2
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (687), (9653) imply:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9654) ~ (all_4_21 = e2)
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9654) implies:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9655) ~ (all_4_21 = e2)
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (14), (431), (439), (448), (562), (612),
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (654), (755), (765), (766), (8424), (9341),
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9342), (9346), (9367), (9505), (9529), (9619),
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9627), (9655) are inconsistent by sub-proof #260.
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9656) ~ (all_12_6 = e2)
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (665), (9656) imply:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9657) ~ (all_4_4 = e2)
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (388) gives:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9658) all_12_2 = e1
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (9658) imply:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9659) all_4_1 = e1
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9637) gives:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9660) all_12_2 = e2
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9658), (9660) are inconsistent by sub-proof
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #337.
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9661) all_12_6 = e2 | all_12_12 = e2 | all_12_20 = e2
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9661) gives:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9662) all_12_6 = e2
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (665), (9657), (9662) are inconsistent by
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #536.
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9663) all_12_12 = e2 | all_12_20 = e2
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9663) gives:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9664) all_12_12 = e2
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (9622), (9664) are inconsistent by sub-proof
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #492.
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9665) all_12_20 = e2
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (9665) imply:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9666) all_4_16 = e2
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9666) implies:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9667) all_4_16 = e2
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (694), (9667) imply:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9668) ~ (all_4_20 = e2)
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9668) implies:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9669) ~ (all_4_20 = e2)
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (696), (9667) imply:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9670) ~ (all_4_24 = e2)
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9670) implies:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9671) ~ (all_4_24 = e2)
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9341) gives:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9672) all_8_24 = e3
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (612), (9619), (9672) are inconsistent by
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #267.
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9673) all_8_24 = e2 | all_8_24 = e1 | all_8_24 = e0
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9673) gives:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9674) all_8_24 = e2
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (612), (9671), (9674) are inconsistent by
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #274.
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9675) all_8_24 = e1 | all_8_24 = e0
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9675) gives:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9676) all_8_24 = e1
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (612), (9676) imply:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9677) all_4_24 = e1
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9677) implies:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9678) all_4_24 = e1
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (721), (9678) imply:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9679) ~ (all_4_18 = e1)
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9342), (9678) imply:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9680) ~ (e4 = e1)
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9490) gives:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9681) all_10_59 = e3
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (420), (9681) imply:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9682) all_4_18 = e3
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9682) implies:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9683) all_4_18 = e3
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (656), (9683) imply:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9684) all_12_21 = e3
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8422) gives:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9685) all_12_20 = e0
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9665), (9685) are inconsistent by sub-proof
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #259.
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9686) all_12_21 = e0 | all_12_22 = e0 | all_12_23 = e0
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9686) gives:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9687) all_12_21 = e0
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9684), (9687) are inconsistent by sub-proof
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #258.
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9688) all_12_22 = e0 | all_12_23 = e0
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9688) gives:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9689) all_12_22 = e0
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (655), (9689) imply:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9690) all_4_20 = e0
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9690) implies:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9691) all_4_20 = e0
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (725), (9691) imply:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9692) ~ (all_4_5 = e0)
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (383) gives:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9693) all_12_4 = e1
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (9693) imply:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9694) all_4_5 = e1
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (726), (9694) imply:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9695) ~ (all_4_10 = e1)
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9695) implies:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9696) ~ (all_4_10 = e1)
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (594), (9498), (9613), (9629), (9640),
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9679), (9696), (function-axioms) are inconsistent
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #269.
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9697) ~ (all_12_4 = e1)
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (498), (9697) imply:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9698) ~ (all_4_5 = e1)
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (33), (373), (494), (574), (583), (594),
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (666), (700), (701), (702), (726), (9351), (9420),
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9498), (9500), (9608), (9611), (9612), (9613),
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9628), (9629), (9692), (9698), (function-axioms)
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #256.
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9699) all_12_23 = e0
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (9516), (9699) are inconsistent by sub-proof
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #255.
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9700) all_10_64 = e2 | all_10_69 = e1 | all_10_74 = e0
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (415), (562), (8424), (9519), (9669), (9700)
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #253.
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9701) all_8_24 = e0
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (612), (8424), (9701) are inconsistent by
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #252.
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9702) ~ (all_12_2 = e1)
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (486), (9702) imply:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9703) ~ (all_4_1 = e1)
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9633) gives:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9704) all_12_2 = e1
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (9704) imply:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9705) all_4_1 = e1
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9703), (9705) imply:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9706) $false
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9706) is inconsistent.
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9707) all_12_6 = e1 | all_12_12 = e1 | all_12_20 = e1
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9707) gives:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9708) all_12_6 = e1
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (9708) imply:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9709) all_4_4 = e1
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9709) implies:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9710) all_4_4 = e1
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9625), (9710) imply:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9711) ~ (e3 = e1)
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (9710) imply:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9712) op(e1, all_4_5) = e4
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (383) gives:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9713) all_12_4 = e1
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (9713) imply:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9714) all_4_5 = e1
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9712), (9714) imply:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9715) op(e1, e1) = e4
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (9508), (9715), (function-axioms) are
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #705.
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9716) ~ (all_12_4 = e1)
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (498), (9716) imply:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9717) ~ (all_4_5 = e1)
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9608) gives:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9718) all_12_1 = e1
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (9718) imply:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9719) all_4_2 = e1
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9643), (9719) imply:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9720) $false
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9720) is inconsistent.
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9721) all_12_4 = e1 | all_12_9 = e1 | all_12_16 = e1
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9721) gives:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9722) all_12_4 = e1
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (9722) imply:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9723) all_4_5 = e1
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9717), (9723) imply:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9724) $false
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9724) is inconsistent.
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9725) all_12_9 = e1 | all_12_16 = e1
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9725) gives:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9726) all_12_9 = e1
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (9726) imply:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9727) all_4_10 = e1
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9628), (9727) imply:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9728) op(e3, e1) = e4
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (9351), (9728), (function-axioms) are
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #688.
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9729) all_12_16 = e1
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9609), (9729) imply:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9730) e3 = e1
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (9730) imply:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9731) $false
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9731) is inconsistent.
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9732) all_12_12 = e1 | all_12_20 = e1
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9732) gives:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9733) all_12_12 = e1
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9622), (9733) are inconsistent by sub-proof
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #251.
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9734) all_12_20 = e1
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (657), (9650), (9734) are inconsistent by
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #250.
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9735) ~ (all_12_12 = e3)
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9736) all_12_13 = e3 | all_12_14 = e3 | all_12_15 = e3 |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_19 = e3
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (446), (9735) imply:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9737) ~ (all_4_9 = e3)
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (380) gives:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9738) all_12_6 = e3
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (9738) imply:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9739) all_4_4 = e3
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9739) implies:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9740) all_4_4 = e3
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (9740) imply:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9741) ~ (all_4_8 = e3)
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9741) implies:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9742) ~ (all_4_8 = e3)
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (682), (9740) imply:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9743) ~ (all_4_9 = e3)
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (9740) imply:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9744) op(e3, all_4_5) = e4
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (385) gives:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9745) all_12_4 = e3
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (9612), (9745) are inconsistent by
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #680.
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9746) all_12_5 = e3 | all_12_8 = e3 | all_12_14 = e3 |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_22 = e3
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (399) gives:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9747) all_12_0 = e1
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9467), (9747) imply:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9748) e4 = e1
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (9748) imply:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9749) $false
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9749) is inconsistent.
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9750) all_12_2 = e1 | all_12_6 = e1 | all_12_12 = e1 |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_20 = e1
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (402) gives:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9751) all_12_0 = e2
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9467), (9751) imply:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9752) e4 = e2
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13), (9752) imply:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9753) $false
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9753) is inconsistent.
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9754) all_12_1 = e2 | all_12_4 = e2 | all_12_9 = e2 |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_16 = e2
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (393) gives:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9755) all_12_1 = e1
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (9755) imply:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9756) all_4_2 = e1
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9611), (9756) imply:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9757) ~ (e3 = e1)
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (65), (9756) imply:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9758) op(all_4_1, e1) = e4
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (368) gives:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9759) all_12_12 = e1
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (9759) imply:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9760) all_4_9 = e1
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (691), (9760) imply:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9761) ~ (all_4_15 = e1)
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9761) implies:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9762) ~ (all_4_15 = e1)
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (692), (9760) imply:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9763) ~ (all_4_23 = e1)
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9763) implies:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9764) ~ (all_4_23 = e1)
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9475), (9760) imply:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9765) ~ (e4 = e1)
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (12), (14), (415), (420), (431), (448),
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (472), (478), (532), (562), (654), (655), (664),
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (719), (731), (753), (8424), (9346), (9351),
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9367), (9490), (9506), (9519), (9532), (9615),
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9742), (9746), (9762), (9764) are inconsistent by
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #247.
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9766) ~ (all_12_12 = e1)
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (446), (9766) imply:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9767) ~ (all_4_9 = e1)
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (388) gives:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9768) all_12_2 = e1
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (9768) imply:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9769) all_4_1 = e1
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9758), (9769) imply:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9770) op(e1, e1) = e4
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (9508), (9770), (function-axioms) are
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #705.
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9771) ~ (all_12_2 = e1)
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (486), (9771) imply:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9772) ~ (all_4_1 = e1)
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9750) gives:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9773) all_12_2 = e1
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (9773) imply:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9774) all_4_1 = e1
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9772), (9774) imply:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9775) $false
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9775) is inconsistent.
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9776) all_12_6 = e1 | all_12_12 = e1 | all_12_20 = e1
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9776) gives:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9777) all_12_6 = e1
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9738), (9777) imply:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9778) e3 = e1
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (9778) imply:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9779) $false
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9779) is inconsistent.
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9780) all_12_12 = e1 | all_12_20 = e1
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9780) gives:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9781) all_12_12 = e1
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (9781) imply:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9782) all_4_9 = e1
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9767), (9782) imply:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9783) $false
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9783) is inconsistent.
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9784) all_12_20 = e1
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (9784) imply:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9785) all_4_16 = e1
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (696), (9785) imply:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9786) ~ (all_4_24 = e1)
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9786) implies:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9787) ~ (all_4_24 = e1)
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (14), (415), (420), (431), (439), (448),
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (562), (612), (654), (715), (741), (755), (765),
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8424), (9341), (9342), (9346), (9356), (9367),
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9490), (9505), (9519), (9529), (9619), (9787) are
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #246.
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9788) ~ (all_12_1 = e1)
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (666), (9788) imply:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9789) ~ (all_4_2 = e1)
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (369) gives:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9790) all_12_12 = e2
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (9790) imply:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9791) all_4_9 = e2
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9791) implies:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9792) all_4_9 = e2
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9737), (9792) imply:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9793) ~ (e3 = e2)
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (9792) imply:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9794) op(e2, all_4_10) = e4
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (394) gives:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9795) all_12_1 = e2
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (9795) imply:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9796) all_4_2 = e2
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9608) gives:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9797) all_12_1 = e1
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9795), (9797) imply:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9798) e2 = e1
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (9798) imply:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9799) $false
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9799) is inconsistent.
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9800) all_12_4 = e1 | all_12_9 = e1 | all_12_16 = e1
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9800) gives:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9801) all_12_4 = e1
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (9801) imply:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9802) all_4_5 = e1
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9744), (9802) imply:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9803) op(e3, e1) = e4
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (9351), (9803), (function-axioms) are
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #688.
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9804) all_12_9 = e1 | all_12_16 = e1
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (494), (659), (9403), (9603), (9794),
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9804), (function-axioms) are inconsistent by
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #245.
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9805) ~ (all_12_1 = e2)
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (666), (9805) imply:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9806) ~ (all_4_2 = e2)
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9754) gives:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9807) all_12_1 = e2
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (9807) imply:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9808) all_4_2 = e2
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9806), (9808) imply:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9809) $false
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9809) is inconsistent.
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9810) all_12_4 = e2 | all_12_9 = e2 | all_12_16 = e2
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9810) gives:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9811) all_12_4 = e2
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (28), (494), (659), (666), (9403), (9603),
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9608), (9789), (9794), (9811), (function-axioms)
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #243.
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9812) all_12_9 = e2 | all_12_16 = e2
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (29), (494), (9399), (9609), (9794), (9812),
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #242.
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9813) ~ (all_12_12 = e2)
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (446), (9813) imply:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9814) ~ (all_4_9 = e2)
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (368) gives:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9815) all_12_12 = e1
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (9815) imply:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9816) all_4_9 = e1
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9816) implies:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9817) all_4_9 = e1
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (691), (9817) imply:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9818) ~ (all_4_15 = e1)
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9818) implies:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9819) ~ (all_4_15 = e1)
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (692), (9817) imply:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9820) ~ (all_4_23 = e1)
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9820) implies:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9821) ~ (all_4_23 = e1)
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9475), (9817) imply:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9822) ~ (e4 = e1)
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (12), (14), (415), (420), (431), (448),
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (472), (478), (532), (562), (654), (655), (664),
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (719), (731), (753), (8424), (9346), (9351),
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9367), (9490), (9506), (9519), (9532), (9615),
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9742), (9746), (9819), (9821) are inconsistent by
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #247.
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9823) ~ (all_12_12 = e1)
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (446), (9823) imply:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9824) ~ (all_4_9 = e1)
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9502) gives:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9825) all_8_15 = e3
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (570), (9737), (9825) are inconsistent by
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #732.
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9826) ~ (all_8_15 = e3)
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9827) all_8_15 = e2 | all_8_15 = e1 | all_8_15 = e0
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9827) gives:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9828) all_8_15 = e2
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (570), (9814), (9828) are inconsistent by
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #731.
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9829) ~ (all_8_15 = e2)
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9830) all_8_15 = e1 | all_8_15 = e0
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9830) gives:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9831) all_8_15 = e1
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (570), (9824), (9831) are inconsistent by
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #730.
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9832) all_8_15 = e0
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (570), (9832) imply:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9833) all_4_9 = e0
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9833) implies:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9834) all_4_9 = e0
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (692), (9834) imply:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9835) ~ (all_4_23 = e0)
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9835) implies:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9836) ~ (all_4_23 = e0)
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9475), (9834) imply:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9837) ~ (e4 = e0)
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9737), (9834) imply:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9838) ~ (e3 = e0)
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9814), (9834) imply:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9839) ~ (e2 = e0)
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8423) gives:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9840) all_12_16 = e0
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9609), (9840) imply:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9841) e3 = e0
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (9841) imply:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9842) $false
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9842) is inconsistent.
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9843) all_12_17 = e0 | all_12_18 = e0 | all_12_19 = e0
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9843) gives:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9844) all_12_17 = e0
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9347), (9844) imply:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9845) e4 = e0
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9845) implies:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9846) e4 = e0
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (9846) imply:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9847) $false
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9847) is inconsistent.
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9848) all_12_18 = e0 | all_12_19 = e0
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9848) gives:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9849) all_12_18 = e0
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (658), (9849) imply:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9850) all_4_21 = e0
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9850) implies:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9851) all_4_21 = e0
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (448), (9851) imply:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9852) all_10_72 = e0
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (765), (9851) imply:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9853) ~ (all_4_24 = e0)
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14), (415), (420), (431), (439), (448),
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (562), (612), (654), (715), (741), (755), (765),
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (766), (8424), (9341), (9342), (9346), (9356),
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9367), (9490), (9505), (9519), (9529), (9619),
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9836), (9852) are inconsistent by sub-proof #241.
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9854) all_12_19 = e0
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (430), (9854) imply:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9855) all_4_23 = e0
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9855) implies:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9856) all_4_23 = e0
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9836), (9856) imply:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9857) $false
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9857) is inconsistent.
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9858) ~ (all_12_6 = e3)
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9859) all_12_7 = e3 | all_12_8 = e3 | all_12_11 = e3 |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_18 = e3
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (665), (9858) imply:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9860) ~ (all_4_4 = e3)
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (403) gives:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9861) all_12_0 = e3
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9467), (9861) imply:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9862) e4 = e3
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (9862) imply:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9863) $false
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9863) is inconsistent.
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9864) all_12_2 = e3 | all_12_6 = e3 | all_12_12 = e3 |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_20 = e3
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (361) gives:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9865) all_12_20 = e3
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (657), (9349), (9621), (9865),
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #240.
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9866) ~ (all_12_20 = e3)
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (657), (9866) imply:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9867) ~ (all_4_16 = e3)
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9864) gives:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9868) all_12_2 = e3
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (9868) imply:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9869) all_4_1 = e3
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9869) implies:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9870) all_4_1 = e3
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (678), (9870) imply:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9871) ~ (all_4_3 = e3)
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9871) implies:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9872) ~ (all_4_3 = e3)
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (679), (9870) imply:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9873) ~ (all_4_7 = e3)
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9873) implies:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9874) ~ (all_4_7 = e3)
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (676), (9870) imply:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9875) ~ (all_4_9 = e3)
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (680), (9870) imply:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9876) ~ (all_4_12 = e3)
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9876) implies:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9877) ~ (all_4_12 = e3)
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (65), (9870) imply:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9878) op(e3, all_4_2) = e4
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (375) gives:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9879) all_12_9 = e3
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (9879) imply:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9880) all_4_10 = e3
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9613), (9880) imply:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9881) $false
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9881) is inconsistent.
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9882) all_12_10 = e3 | all_12_11 = e3 | all_12_15 = e3 |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_23 = e3
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (385) gives:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9883) all_12_4 = e3
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (9883) imply:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9884) all_4_5 = e3
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9612), (9884) imply:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9885) $false
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9885) is inconsistent.
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9886) all_12_5 = e3 | all_12_8 = e3 | all_12_14 = e3 |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_22 = e3
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (402) gives:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9887) all_12_0 = e2
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9467), (9887) imply:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9888) e4 = e2
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13), (9888) imply:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9889) $false
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9889) is inconsistent.
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9890) ~ (all_12_0 = e2)
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9891) all_12_1 = e2 | all_12_4 = e2 | all_12_9 = e2 |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_16 = e2
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (401) gives:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9892) all_12_0 = e2
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9467), (9892) imply:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9893) e4 = e2
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13), (9893) imply:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9894) $false
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9894) is inconsistent.
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9895) all_12_2 = e2 | all_12_6 = e2 | all_12_12 = e2 |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_20 = e2
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (374) gives:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9896) all_12_9 = e2
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (9896) imply:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9897) all_4_10 = e2
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (9897) imply:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9898) ~ (all_4_14 = e2)
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9898) implies:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9899) ~ (all_4_14 = e2)
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9532) gives:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9900) all_10_66 = e3
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (472), (9877), (9900) are inconsistent by
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #523.
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9901) ~ (all_10_66 = e3)
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9902) all_10_67 = e2 | all_10_68 = e1 | all_10_69 = e0
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9902) gives:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9903) all_10_67 = e2
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (532), (9899), (9903) are inconsistent by
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #453.
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9904) all_10_68 = e1 | all_10_69 = e0
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9904) gives:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9905) all_10_68 = e1
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (9905) imply:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9906) all_4_15 = e1
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9906) implies:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9907) all_4_15 = e1
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (660), (9907) imply:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9908) all_12_15 = e1
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (755), (9907) imply:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9909) ~ (all_4_23 = e1)
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9909) implies:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9910) ~ (all_4_23 = e1)
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9882) gives:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9911) all_12_10 = e3
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (663), (9911) imply:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9912) all_4_12 = e3
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9877), (9912) imply:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9913) $false
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9913) is inconsistent.
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9914) all_12_11 = e3 | all_12_15 = e3 | all_12_23 = e3
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9367) gives:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9915) all_10_71 = e3
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (9346), (9915) are inconsistent by sub-proof
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #281.
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9916) ~ (all_10_71 = e3)
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9917) all_10_72 = e2 | all_10_73 = e1 | all_10_74 = e0
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9917) gives:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9918) all_10_72 = e2
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (448), (9918) imply:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9919) all_4_21 = e2
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9919) implies:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9920) all_4_21 = e2
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (736), (9920) imply:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9921) ~ (all_4_8 = e2)
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9914) gives:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9922) all_12_11 = e3
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (454), (9922) imply:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9923) all_4_14 = e3
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (532), (9923) imply:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9924) all_10_67 = e3
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9414) gives:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9925) all_10_57 = e3
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (9394), (9925) are inconsistent by sub-proof
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #239.
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9926) all_10_62 = e2 | all_10_67 = e1 | all_10_72 = e0
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9926) gives:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9927) all_10_62 = e2
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (455), (9921), (9927) are inconsistent by
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #365.
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9928) all_10_67 = e1 | all_10_72 = e0
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (9918), (9924), (9928) are inconsistent
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #238.
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9929) all_12_15 = e3 | all_12_23 = e3
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9929) gives:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9930) all_12_15 = e3
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9908), (9930) are inconsistent by sub-proof
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #419.
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9931) all_12_23 = e3
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9516), (9931) imply:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9932) e4 = e3
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (9932) imply:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9933) $false
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9933) is inconsistent.
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9934) all_10_73 = e1 | all_10_74 = e0
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (562), (654), (8424), (9910), (9934) are
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #271.
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9935) all_10_69 = e0
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (9519), (9935) are inconsistent by sub-proof
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #644.
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9936) all_12_10 = e2 | all_12_11 = e2 | all_12_15 = e2 |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_23 = e2
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (379) gives:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9937) all_12_6 = e2
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (9937) imply:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9938) all_4_4 = e2
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (9938) imply:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9939) ~ (all_4_14 = e2)
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9939) implies:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9940) ~ (all_4_14 = e2)
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (687), (9938) imply:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9941) ~ (all_4_21 = e2)
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9941) implies:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9942) ~ (all_4_21 = e2)
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (14), (431), (448), (472), (532), (562),
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (654), (755), (8424), (9346), (9367), (9519),
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9532), (9877), (9940), (9942) are inconsistent by
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #236.
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9943) ~ (all_12_6 = e2)
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (665), (9943) imply:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9944) ~ (all_4_4 = e2)
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (360) gives:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9945) all_12_20 = e2
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (9945) imply:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9946) all_4_16 = e2
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (694), (9946) imply:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9947) ~ (all_4_20 = e2)
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9947) implies:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9948) ~ (all_4_20 = e2)
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9490) gives:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9949) all_10_59 = e3
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (420), (9949) imply:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9950) all_4_18 = e3
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (656), (9950) imply:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9951) all_12_21 = e3
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (9950) imply:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9952) ~ (all_4_11 = e3)
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8422) gives:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9953) all_12_20 = e0
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9945), (9953) imply:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9954) e2 = e0
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (9954) imply:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9955) $false
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9955) is inconsistent.
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9956) all_12_21 = e0 | all_12_22 = e0 | all_12_23 = e0
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9956) gives:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9957) all_12_21 = e0
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9951), (9957) imply:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9958) e3 = e0
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (9958) imply:
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9959) $false
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9959) is inconsistent.
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9960) all_12_22 = e0 | all_12_23 = e0
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9960) gives:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9961) all_12_22 = e0
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (655), (9961) imply:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9962) all_4_20 = e0
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (730), (9962) imply:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9963) ~ (all_4_7 = e0)
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (741), (9962) imply:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9964) ~ (all_4_24 = e0)
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9948), (9962) imply:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9965) ~ (e2 = e0)
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (359) gives:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9966) all_12_20 = e1
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9945), (9966) imply:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9967) e2 = e1
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (9967) imply:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9968) $false
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9968) is inconsistent.
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9969) all_12_21 = e1 | all_12_22 = e1 | all_12_23 = e1 |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_24 = e1
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9969) gives:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9970) all_12_21 = e1
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9951), (9970) imply:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9971) e3 = e1
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (9971) imply:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9972) $false
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9972) is inconsistent.
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9973) all_12_22 = e1 | all_12_23 = e1 | all_12_24 = e1
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9973) gives:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9974) all_12_22 = e1
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9961), (9974) imply:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9975) e1 = e0
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9975) implies:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9976) e1 = e0
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (9976) imply:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9977) $false
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9977) is inconsistent.
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9978) all_12_23 = e1 | all_12_24 = e1
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9886) gives:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9979) all_12_5 = e3
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (9979) imply:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9980) all_4_7 = e3
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9874), (9980) imply:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9981) $false
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9981) is inconsistent.
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9982) all_12_8 = e3 | all_12_14 = e3 | all_12_22 = e3
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9982) gives:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9983) all_12_8 = e3
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (664), (9983) imply:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9984) all_4_8 = e3
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (735), (9984) imply:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9985) ~ (all_4_14 = e3)
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9985) implies:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9986) ~ (all_4_14 = e3)
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9978) gives:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9987) all_12_23 = e1
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9516), (9987) imply:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9988) e4 = e1
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (9988) imply:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9989) $false
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9989) is inconsistent.
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9990) all_12_24 = e1
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (410), (9990) imply:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9991) all_4_24 = e1
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (766), (9991) imply:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9992) ~ (all_4_23 = e1)
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9619), (9991) imply:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9993) ~ (e3 = e1)
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9882) gives:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9994) all_12_10 = e3
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (663), (9877), (9994) are inconsistent by
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #235.
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9995) all_12_11 = e3 | all_12_15 = e3 | all_12_23 = e3
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9995) gives:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9996) all_12_11 = e3
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (454), (9986), (9996) are inconsistent by
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #234.
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9997) all_12_15 = e3 | all_12_23 = e3
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9997) gives:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9998) all_12_15 = e3
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (660), (9998) imply:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9999) all_4_15 = e3
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9999) implies:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10000) all_4_15 = e3
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (10000) imply:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10001) all_10_68 = e3
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9367) gives:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10002) all_10_71 = e3
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (9346), (10002) are inconsistent by
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #281.
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10003) all_10_72 = e2 | all_10_73 = e1 | all_10_74 = e0
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10003) gives:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10004) all_10_72 = e2
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (448), (10004) imply:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10005) all_4_21 = e2
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10005) implies:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10006) all_4_21 = e2
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (753), (10006) imply:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10007) ~ (all_4_14 = e2)
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9615), (10006) imply:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10008) ~ (e3 = e2)
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9532) gives:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10009) all_10_66 = e3
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (472), (9877), (10009) are inconsistent by
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #523.
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10010) all_10_67 = e2 | all_10_68 = e1 | all_10_69 = e0
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10010) gives:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10011) all_10_67 = e2
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (532), (10007), (10011) are inconsistent by
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #453.
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10012) ~ (all_10_67 = e2)
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10013) all_10_68 = e1 | all_10_69 = e0
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9936) gives:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10014) all_12_10 = e2
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (663), (10014) imply:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10015) all_4_12 = e2
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10015) implies:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10016) all_4_12 = e2
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (731), (10016) imply:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10017) ~ (all_4_7 = e2)
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (586), (9378), (9404), (9613), (9874),
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9963), (10017), (function-axioms) are
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #233.
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10018) all_12_11 = e2 | all_12_15 = e2 | all_12_23 = e2
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10013) gives:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10019) all_10_68 = e1
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10001), (10019) imply:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10020) e3 = e1
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10020) implies:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10021) e3 = e1
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (10021) imply:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10022) $false
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10022) is inconsistent.
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10023) all_10_69 = e0
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9519), (10023) imply:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10024) e4 = e0
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10024) implies:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10025) e4 = e0
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9516), (10025) imply:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10026) all_12_23 = e0
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10), (454), (9998), (10007), (10018),
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10026) are inconsistent by sub-proof #232.
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10027) all_10_73 = e1 | all_10_74 = e0
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (562), (654), (8424), (9992), (10027) are
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #271.
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10028) all_12_23 = e3
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (9516), (10028) are inconsistent by
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #231.
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10029) ~ (all_12_8 = e3)
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (664), (10029) imply:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10030) ~ (all_4_8 = e3)
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9736) gives:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10031) all_12_13 = e3
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (662), (10031) imply:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10032) all_4_11 = e3
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9952), (10032) imply:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10033) $false
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10033) is inconsistent.
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10034) all_12_14 = e3 | all_12_15 = e3 | all_12_19 = e3
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10034) gives:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10035) all_12_14 = e3
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9506), (10035) imply:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10036) e4 = e3
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (10036) imply:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10037) $false
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10037) is inconsistent.
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10038) ~ (all_12_14 = e3)
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10039) all_12_15 = e3 | all_12_19 = e3
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9859) gives:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10040) all_12_7 = e3
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9395), (10040) imply:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10041) e4 = e3
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (10041) imply:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10042) $false
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10042) is inconsistent.
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10043) all_12_8 = e3 | all_12_11 = e3 | all_12_18 = e3
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10039) gives:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10044) all_12_15 = e3
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (660), (10044) imply:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10045) all_4_15 = e3
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (751), (10045) imply:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10046) ~ (all_4_14 = e3)
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10043) gives:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10047) all_12_8 = e3
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (664), (10047) imply:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10048) all_4_8 = e3
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10030), (10048) imply:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10049) $false
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10049) is inconsistent.
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10050) all_12_11 = e3 | all_12_18 = e3
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10050) gives:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10051) all_12_11 = e3
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (454), (10046), (10051) are inconsistent by
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #234.
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10052) all_12_18 = e3
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (658), (10052) imply:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10053) all_4_21 = e3
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10053) implies:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10054) all_4_21 = e3
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9615), (10054) imply:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10055) $false
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10055) is inconsistent.
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10056) all_12_19 = e3
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (430), (10056) imply:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10057) all_4_23 = e3
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9617), (10057) imply:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10058) $false
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10058) is inconsistent.
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10059) all_12_23 = e0
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9516), (10059) imply:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10060) e4 = e0
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (10060) imply:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10061) $false
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10061) is inconsistent.
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10062) all_10_64 = e2 | all_10_69 = e1 | all_10_74 = e0
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (415), (562), (8424), (9519), (9948),
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10062) are inconsistent by sub-proof #253.
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10063) ~ (all_12_20 = e2)
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (657), (10063) imply:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10064) ~ (all_4_16 = e2)
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9895) gives:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10065) all_12_2 = e2
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9868), (10065) imply:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10066) e3 = e2
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (10066) imply:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10067) $false
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10067) is inconsistent.
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10068) all_12_6 = e2 | all_12_12 = e2 | all_12_20 = e2
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10068) gives:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10069) all_12_6 = e2
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (10069) imply:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10070) all_4_4 = e2
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9944), (10070) imply:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10071) $false
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10071) is inconsistent.
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10072) all_12_12 = e2 | all_12_20 = e2
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10072) gives:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10073) all_12_12 = e2
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (10073) imply:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10074) all_4_9 = e2
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9737), (10074) imply:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10075) ~ (e3 = e2)
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (10074) imply:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10076) op(e2, all_4_10) = e4
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (394) gives:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10077) all_12_1 = e2
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (10077) imply:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10078) all_4_2 = e2
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9878), (10078) imply:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10079) op(e3, e2) = e4
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (9350), (10079), (function-axioms) are
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #689.
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10080) ~ (all_12_1 = e2)
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (666), (10080) imply:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10081) ~ (all_4_2 = e2)
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9891) gives:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10082) all_12_1 = e2
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (10082) imply:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10083) all_4_2 = e2
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10081), (10083) imply:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10084) $false
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10084) is inconsistent.
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10085) all_12_4 = e2 | all_12_9 = e2 | all_12_16 = e2
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10085) gives:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10086) all_12_4 = e2
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (10086) imply:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10087) all_4_5 = e2
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (722), (10087) imply:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10088) ~ (all_4_7 = e2)
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10088) implies:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10089) ~ (all_4_7 = e2)
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9370) gives:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10090) all_10_56 = e3
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (514), (10090) imply:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10091) all_4_3 = e3
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9872), (10091) imply:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10092) $false
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10092) is inconsistent.
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10093) all_10_61 = e2 | all_10_66 = e1 | all_10_71 = e0
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10093) gives:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10094) all_10_61 = e2
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (518), (10089), (10094) are inconsistent by
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #725.
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10095) all_10_66 = e1 | all_10_71 = e0
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10095) gives:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10096) all_10_66 = e1
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (472), (10096) imply:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10097) all_4_12 = e1
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10097) implies:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10098) all_4_12 = e1
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (33), (10098) imply:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10099) op(e3, e1) = e1
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9608) gives:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10100) all_12_1 = e1
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (666), (9396), (9878), (10099), (10100),
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #230.
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10101) all_12_4 = e1 | all_12_9 = e1 | all_12_16 = e1
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (28), (494), (659), (9403), (9603), (10076),
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10086), (10101), (function-axioms) are
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #244.
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10102) all_10_71 = e0
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (9346), (10102) are inconsistent by
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #642.
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10103) all_12_9 = e2 | all_12_16 = e2
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (29), (494), (9399), (9609), (10076),
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10103), (function-axioms) are inconsistent by
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #242.
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10104) all_12_20 = e2
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (10104) imply:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10105) all_4_16 = e2
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10064), (10105) imply:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10106) $false
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10106) is inconsistent.
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10107) all_12_6 = e3 | all_12_12 = e3 | all_12_20 = e3
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (657), (665), (9737), (9860), (9867),
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10107) are inconsistent by sub-proof #229.
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10108) ~ (all_12_16 = e3)
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (659), (10108) imply:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10109) ~ (all_4_17 = e3)
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (404) gives:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10110) all_12_0 = e3
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9467), (10110) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10111) e4 = e3
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (10111) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10112) $false
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10112) is inconsistent.
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10113) ~ (all_12_0 = e3)
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10114) all_12_1 = e3 | all_12_4 = e3 | all_12_9 = e3 |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_16 = e3
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (395) gives:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10115) all_12_1 = e3
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (10115) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10116) all_4_2 = e3
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (697), (10116) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10117) ~ (all_4_3 = e3)
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10117) implies:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10118) ~ (all_4_3 = e3)
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (699), (10116) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10119) ~ (all_4_11 = e3)
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10119) implies:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10120) ~ (all_4_11 = e3)
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (700), (10116) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10121) ~ (all_4_18 = e3)
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10121) implies:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10122) ~ (all_4_18 = e3)
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9490) gives:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10123) all_10_59 = e3
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (420), (10122), (10123) are inconsistent by
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #280.
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10124) all_10_64 = e2 | all_10_69 = e1 | all_10_74 = e0
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10124) gives:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10125) all_10_64 = e2
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (415), (10125) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10126) all_4_20 = e2
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10126) implies:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10127) all_4_20 = e2
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (730), (10127) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10128) ~ (all_4_7 = e2)
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (734), (10127) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10129) ~ (all_4_8 = e2)
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9521), (10127) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10130) ~ (e4 = e2)
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9370) gives:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10131) all_10_56 = e3
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (514), (10118), (10131) are inconsistent by
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #439.
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10132) all_10_61 = e2 | all_10_66 = e1 | all_10_71 = e0
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9535) gives:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10133) all_10_61 = e3
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (518), (10133) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10134) all_4_7 = e3
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10134) implies:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10135) all_4_7 = e3
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (731), (10135) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10136) ~ (all_4_12 = e3)
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10136) implies:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10137) ~ (all_4_12 = e3)
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9350), (10135) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10138) ~ (e4 = e3)
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10132) gives:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10139) all_10_61 = e2
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (10133), (10139) are inconsistent by
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #438.
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10140) all_10_66 = e1 | all_10_71 = e0
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10140) gives:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10141) all_10_66 = e1
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (472), (10141) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10142) all_4_12 = e1
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (10142) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10143) ~ (all_4_15 = e1)
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10143) implies:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10144) ~ (all_4_15 = e1)
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10137), (10142) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10145) ~ (e3 = e1)
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (11), (13), (14), (431), (439), (448),
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (532), (562), (753), (8424), (9346), (9367),
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9505), (9519), (9529), (9532), (10120), (10141),
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10144) are inconsistent by sub-proof #227.
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10146) all_10_71 = e0
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (9346), (10146) are inconsistent by
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #642.
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10147) all_10_62 = e2 | all_10_63 = e1 | all_10_64 = e0
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12), (455), (9505), (10125), (10129),
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10147) are inconsistent by sub-proof #225.
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10148) all_10_69 = e1 | all_10_74 = e0
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (562), (8424), (9519), (10148) are
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #275.
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10149) ~ (all_12_1 = e3)
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (666), (10149) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10150) ~ (all_4_2 = e3)
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (369) gives:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10151) all_12_12 = e2
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (10151) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10152) all_4_9 = e2
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10152) implies:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10153) all_4_9 = e2
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (10153) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10154) op(e2, all_4_10) = e4
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (56), (10153) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10155) op(all_4_10, e2) = e1
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (364) gives:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10156) all_12_16 = e2
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (10156) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10157) all_4_17 = e2
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10157) implies:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10158) all_4_17 = e2
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (703), (10158) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10159) ~ (all_4_2 = e2)
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (746), (10158) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10160) ~ (all_4_10 = e2)
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (758), (10158) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10161) ~ (all_4_21 = e2)
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10161) implies:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10162) ~ (all_4_21 = e2)
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9352), (10158) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10163) ~ (e4 = e2)
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9367) gives:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10164) all_10_71 = e3
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (9346), (10164) are inconsistent by
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #281.
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10165) all_10_72 = e2 | all_10_73 = e1 | all_10_74 = e0
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10165) gives:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10166) all_10_72 = e2
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (448), (10162), (10166) are inconsistent by
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #266.
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10167) all_10_73 = e1 | all_10_74 = e0
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10167) gives:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10168) all_10_73 = e1
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (654), (10168) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10169) all_4_23 = e1
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10169) implies:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10170) all_4_23 = e1
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (430), (10170) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10171) all_12_19 = e1
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (718), (10170) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10172) ~ (all_4_11 = e1)
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (755), (10170) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10173) ~ (all_4_15 = e1)
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9529) gives:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10174) all_10_58 = e3
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (10174) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10175) all_4_11 = e3
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (662), (10175) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10176) all_12_13 = e3
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (705), (10175) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10177) ~ (all_4_3 = e3)
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (367) gives:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10178) all_12_12 = e0
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10151), (10178) are inconsistent by
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #765.
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10179) all_12_13 = e0 | all_12_14 = e0 | all_12_15 = e0 |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_19 = e0
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10179) gives:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10180) all_12_13 = e0
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10176), (10180) are inconsistent by
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #224.
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10181) all_12_14 = e0 | all_12_15 = e0 | all_12_19 = e0
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10181) gives:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10182) all_12_14 = e0
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (9506), (10182) are inconsistent by
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #652.
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10183) all_12_15 = e0 | all_12_19 = e0
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9409) gives:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10184) all_10_56 = e3
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (514), (10184) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10185) all_4_3 = e3
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10177), (10185) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10186) $false
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10186) is inconsistent.
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10187) ~ (all_10_56 = e3)
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10188) all_10_57 = e2 | all_10_58 = e1 | all_10_59 = e0
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10188) gives:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10189) all_10_57 = e2
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9394), (10189) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10190) e4 = e2
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13), (10190) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10191) $false
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10191) is inconsistent.
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10192) all_10_58 = e1 | all_10_59 = e0
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10183) gives:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10193) all_12_15 = e0
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (660), (10193) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10194) all_4_15 = e0
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (10194) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10195) ~ (all_4_10 = e0)
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10192) gives:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10196) all_10_58 = e1
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10174), (10196) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10197) e3 = e1
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (10197) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10198) $false
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10198) is inconsistent.
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10199) all_10_59 = e0
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (420), (10199) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10200) all_4_18 = e0
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (700), (10200) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10201) ~ (all_4_2 = e0)
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (706), (10200) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10202) ~ (all_4_3 = e0)
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9520), (10200) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10203) ~ (e4 = e0)
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (394) gives:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10204) all_12_1 = e2
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (10204) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10205) all_4_2 = e2
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10159), (10205) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10206) $false
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10206) is inconsistent.
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10207) ~ (all_12_1 = e2)
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10208) all_12_3 = e2 | all_12_7 = e2 | all_12_13 = e2 |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_21 = e2
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9420) gives:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10209) all_8_1 = e3
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (574), (10150), (10209) are inconsistent by
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #747.
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10210) all_8_1 = e2 | all_8_1 = e1 | all_8_1 = e0
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10210) gives:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10211) all_8_1 = e2
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (574), (10159), (10211) are inconsistent by
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #746.
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10212) all_8_1 = e1 | all_8_1 = e0
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10212) gives:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10213) all_8_1 = e1
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (574), (10213) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10214) all_4_2 = e1
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10214) implies:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10215) all_4_2 = e1
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (697), (10215) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10216) ~ (all_4_3 = e1)
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10216) implies:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10217) ~ (all_4_3 = e1)
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (702), (10215) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10218) ~ (all_4_10 = e1)
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10218) implies:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10219) ~ (all_4_10 = e1)
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10208) gives:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10220) all_12_3 = e2
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (482), (10220) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10221) all_4_3 = e2
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (514), (10221) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10222) all_10_56 = e2
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (707), (10221) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10223) ~ (all_4_7 = e2)
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10223) implies:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10224) ~ (all_4_7 = e2)
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10177), (10221) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10225) ~ (e3 = e2)
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9370) gives:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10226) all_10_56 = e3
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10222), (10226) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10227) e3 = e2
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10227) implies:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10228) e3 = e2
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (10228) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10229) $false
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10229) is inconsistent.
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10230) all_10_61 = e2 | all_10_66 = e1 | all_10_71 = e0
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10230) gives:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10231) all_10_61 = e2
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (518), (10231) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10232) all_4_7 = e2
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10224), (10232) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10233) $false
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10233) is inconsistent.
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10234) all_10_66 = e1 | all_10_71 = e0
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9498) gives:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10235) all_8_3 = e3
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (594), (10235) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10236) all_4_10 = e3
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10236) implies:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10237) all_4_10 = e3
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10155), (10237) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10238) op(e3, e2) = e1
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10234) gives:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10239) all_10_66 = e1
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (472), (10239) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10240) all_4_12 = e1
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (731), (10240) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10241) ~ (all_4_7 = e1)
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (10238), (10241), (function-axioms) are
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #350.
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10242) all_10_71 = e0
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (9346), (10242) are inconsistent by
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #642.
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10243) all_8_3 = e2 | all_8_3 = e1 | all_8_3 = e0
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (594), (10160), (10195), (10219), (10243) are
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #447.
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10244) ~ (all_12_3 = e2)
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (482), (10244) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10245) ~ (all_4_3 = e2)
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (576), (9384), (10177), (10202), (10217), (10245)
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #219.
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10246) all_8_1 = e0
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (574), (10201), (10246) are inconsistent by
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #597.
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10247) all_12_19 = e0
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10171), (10247) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10248) e1 = e0
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (562), (8424), (10167), (10168), (10248) are
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #218.
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10249) all_10_63 = e2 | all_10_68 = e1 | all_10_73 = e0
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13), (431), (562), (8424), (9505), (10167),
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10173), (10249) are inconsistent by sub-proof
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #217.
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10250) all_10_74 = e0
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (562), (8424), (10250) are inconsistent by
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #276.
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10251) ~ (all_12_16 = e2)
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (659), (10251) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10252) ~ (all_4_17 = e2)
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9387) gives:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10253) all_8_4 = e3
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (603), (10253) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10254) all_4_17 = e3
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10109), (10254) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10255) $false
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10255) is inconsistent.
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10256) ~ (all_8_4 = e3)
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10257) all_8_4 = e2 | all_8_4 = e1 | all_8_4 = e0
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10257) gives:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10258) all_8_4 = e2
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (603), (10258) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10259) all_4_17 = e2
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10252), (10259) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10260) $false
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10260) is inconsistent.
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10261) ~ (all_8_4 = e2)
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10262) all_8_4 = e1 | all_8_4 = e0
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10262) gives:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10263) all_8_4 = e1
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (603), (10263) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10264) all_4_17 = e1
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9603), (10264) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10265) $false
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10265) is inconsistent.
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10266) all_8_4 = e0
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (603), (10266) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10267) all_4_17 = e0
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (10267) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10268) all_12_16 = e0
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (703), (10267) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10269) ~ (all_4_2 = e0)
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (727), (10267) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10270) ~ (all_4_5 = e0)
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (746), (10267) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10271) ~ (all_4_10 = e0)
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (759), (10267) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10272) ~ (all_4_23 = e0)
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10272) implies:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10273) ~ (all_4_23 = e0)
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (760), (10267) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10274) ~ (all_4_24 = e0)
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10109), (10267) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10275) ~ (e3 = e0)
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (394) gives:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10276) all_12_1 = e2
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (10276) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10277) all_4_2 = e2
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (701), (10277) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10278) ~ (all_4_5 = e2)
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10278) implies:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10279) ~ (all_4_5 = e2)
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (702), (10277) imply:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10280) ~ (all_4_10 = e2)
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10280) implies:
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10281) ~ (all_4_10 = e2)
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10150), (10277) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10282) ~ (e3 = e2)
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (385) gives:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10283) all_12_4 = e3
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (10283) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10284) all_4_5 = e3
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (726), (10284) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10285) ~ (all_4_10 = e3)
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10285) implies:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10286) ~ (all_4_10 = e3)
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9498) gives:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10287) all_8_3 = e3
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (594), (10286), (10287) are inconsistent by
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #735.
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10288) all_8_3 = e2 | all_8_3 = e1 | all_8_3 = e0
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (594), (9403), (10154), (10271), (10281),
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10288), (function-axioms) are inconsistent by
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #421.
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10289) ~ (all_12_4 = e3)
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (498), (10289) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10290) ~ (all_4_5 = e3)
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10114) gives:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10291) all_12_1 = e3
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (10276), (10291) are inconsistent by
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #216.
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10292) all_12_4 = e3 | all_12_9 = e3 | all_12_16 = e3
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10292) gives:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10293) all_12_4 = e3
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (10293) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10294) all_4_5 = e3
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10290), (10294) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10295) $false
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10295) is inconsistent.
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10296) all_12_9 = e3 | all_12_16 = e3
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10296) gives:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10297) all_12_9 = e3
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (10297) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10298) all_4_10 = e3
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10155), (10298) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10299) op(e3, e2) = e1
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (583), (722), (9500), (10270), (10279),
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10290), (10299), (function-axioms) are
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #349.
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10300) all_12_16 = e3
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10268), (10300) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10301) e3 = e0
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10301) implies:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10302) e3 = e0
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (10302) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10303) $false
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10303) is inconsistent.
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10304) ~ (all_12_1 = e2)
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (666), (10304) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10305) ~ (all_4_2 = e2)
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9420) gives:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10306) all_8_1 = e3
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (574), (10150), (10306) are inconsistent by
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #747.
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10307) all_8_1 = e2 | all_8_1 = e1 | all_8_1 = e0
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10307) gives:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10308) all_8_1 = e2
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (574), (10305), (10308) are inconsistent by
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #746.
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10309) all_8_1 = e1 | all_8_1 = e0
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10309) gives:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10310) all_8_1 = e1
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (574), (10310) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10311) all_4_2 = e1
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10311) implies:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10312) all_4_2 = e1
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (701), (10312) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10313) ~ (all_4_5 = e1)
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10313) implies:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10314) ~ (all_4_5 = e1)
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (702), (10312) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10315) ~ (all_4_10 = e1)
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10315) implies:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10316) ~ (all_4_10 = e1)
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9396), (10312) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10317) ~ (e4 = e1)
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (374) gives:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10318) all_12_9 = e2
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (10318) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10319) all_4_10 = e2
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10154), (10319) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10320) op(e2, e2) = e4
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (9399), (10320), (function-axioms) are
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #736.
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10321) ~ (all_12_9 = e2)
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (494), (10321) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10322) ~ (all_4_10 = e2)
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (415), (420), (431), (439), (448), (455),
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (532), (562), (583), (594), (603), (612), (654),
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (715), (721), (723), (725), (726), (727), (741),
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (751), (755), (765), (766), (8424), (9341),
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9342), (9346), (9356), (9367), (9387), (9394),
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9414), (9473), (9490), (9498), (9500), (9505),
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9519), (9520), (9529), (9603), (10109), (10252),
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10270), (10271), (10273), (10314), (10316),
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10322) are inconsistent by sub-proof #212.
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10323) all_8_1 = e0
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (574), (10269), (10323) are inconsistent by
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #597.
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10324) ~ (all_12_12 = e2)
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10325) all_12_13 = e2 | all_12_14 = e2 | all_12_15 = e2 |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_19 = e2
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (446), (10324) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10326) ~ (all_4_9 = e2)
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (401) gives:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10327) all_12_0 = e2
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9467), (10327) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10328) e4 = e2
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13), (10328) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10329) $false
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10329) is inconsistent.
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10330) ~ (all_12_0 = e2)
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10331) all_12_2 = e2 | all_12_6 = e2 | all_12_12 = e2 |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_20 = e2
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (373) gives:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10332) all_12_9 = e1
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (10332) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10333) all_4_10 = e1
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (726), (10333) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10334) ~ (all_4_5 = e1)
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (742), (10333) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10335) ~ (all_4_12 = e1)
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10335) implies:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10336) ~ (all_4_12 = e1)
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (10333) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10337) ~ (all_4_14 = e1)
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10337) implies:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10338) ~ (all_4_14 = e1)
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (10333) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10339) ~ (all_4_15 = e1)
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10339) implies:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10340) ~ (all_4_15 = e1)
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9477), (10333) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10341) ~ (e4 = e1)
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (10333) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10342) op(all_4_9, e1) = e4
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (782), (10333) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10343) op(e1, e1) = all_10_3
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10114) gives:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10344) all_12_1 = e3
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (10344) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10345) all_4_2 = e3
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10150), (10345) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10346) $false
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10346) is inconsistent.
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10347) all_12_4 = e3 | all_12_9 = e3 | all_12_16 = e3
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10347) gives:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10348) all_12_4 = e3
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (10348) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10349) all_4_5 = e3
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9473), (10349) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10350) ~ (e4 = e3)
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (10349) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10351) op(all_4_4, e3) = e4
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_15,
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_3, e1, e1, simplifying with (23), (10343)
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10352) all_10_3 = all_4_15
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (368) gives:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10353) all_12_12 = e1
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (10353) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10354) all_4_9 = e1
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10342), (10354) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10355) op(e1, e1) = e4
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (9508), (10355), (function-axioms) are
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #705.
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10356) ~ (all_12_12 = e1)
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (446), (10356) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10357) ~ (all_4_9 = e1)
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (380) gives:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10358) all_12_6 = e3
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (10358) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10359) all_4_4 = e3
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10351), (10359) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10360) op(e3, e3) = e4
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (9349), (10360), (function-axioms) are
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #704.
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10361) ~ (all_12_6 = e3)
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (665), (10361) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10362) ~ (all_4_4 = e3)
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (361) gives:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10363) all_12_20 = e3
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (10363) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10364) all_4_16 = e3
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (688), (10364) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10365) ~ (all_4_9 = e3)
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (693), (10364) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10366) ~ (all_4_18 = e3)
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10366) implies:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10367) ~ (all_4_18 = e3)
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (696), (10364) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10368) ~ (all_4_24 = e3)
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10368) implies:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10369) ~ (all_4_24 = e3)
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9502) gives:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10370) all_8_15 = e3
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (570), (10370) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10371) all_4_9 = e3
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10365), (10371) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10372) $false
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10372) is inconsistent.
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10373) all_8_15 = e2 | all_8_15 = e1 | all_8_15 = e0
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10373) gives:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10374) all_8_15 = e2
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (570), (10374) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10375) all_4_9 = e2
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10326), (10375) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10376) $false
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10376) is inconsistent.
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10377) ~ (all_8_15 = e2)
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10378) all_8_15 = e1 | all_8_15 = e0
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10378) gives:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10379) all_8_15 = e1
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (570), (10379) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10380) all_4_9 = e1
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10357), (10380) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10381) $false
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10381) is inconsistent.
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10382) all_8_15 = e0
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (570), (10382) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10383) all_4_9 = e0
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (692), (10383) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10384) ~ (all_4_23 = e0)
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10384) implies:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10385) ~ (all_4_23 = e0)
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10326), (10383) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10386) ~ (e2 = e0)
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9490) gives:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10387) all_10_59 = e3
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (420), (10387) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10388) all_4_18 = e3
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10367), (10388) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10389) $false
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10389) is inconsistent.
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10390) all_10_64 = e2 | all_10_69 = e1 | all_10_74 = e0
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10390) gives:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10391) all_10_64 = e2
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (415), (10391) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10392) all_4_20 = e2
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10392) implies:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10393) all_4_20 = e2
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (734), (10393) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10394) ~ (all_4_8 = e2)
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9414) gives:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10395) all_10_57 = e3
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9394), (10395) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10396) e4 = e3
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (10396) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10397) $false
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10397) is inconsistent.
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10398) all_10_62 = e2 | all_10_67 = e1 | all_10_72 = e0
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14), (415), (420), (431), (439), (448),
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (455), (532), (562), (612), (654), (715), (741),
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (755), (765), (766), (8424), (9341), (9342),
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9346), (9356), (9367), (9490), (9505), (9519),
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9529), (10338), (10369), (10385), (10394),
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10398) are inconsistent by sub-proof #215.
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10399) all_10_69 = e1 | all_10_74 = e0
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (562), (8424), (9519), (10399) are
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #275.
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10400) ~ (all_12_20 = e3)
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (657), (10400) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10401) ~ (all_4_16 = e3)
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (403) gives:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10402) all_12_0 = e3
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9467), (10402) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10403) e4 = e3
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (10403) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10404) $false
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10404) is inconsistent.
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10405) all_12_2 = e3 | all_12_6 = e3 | all_12_12 = e3 |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_20 = e3
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (390) gives:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10406) all_12_2 = e3
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (10406) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10407) all_4_1 = e3
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (678), (10407) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10408) ~ (all_4_3 = e3)
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10408) implies:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10409) ~ (all_4_3 = e3)
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (680), (10407) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10410) ~ (all_4_12 = e3)
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10410) implies:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10411) ~ (all_4_12 = e3)
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9370) gives:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10412) all_10_56 = e3
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (514), (10412) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10413) all_4_3 = e3
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10409), (10413) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10414) $false
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10414) is inconsistent.
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10415) all_10_61 = e2 | all_10_66 = e1 | all_10_71 = e0
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10415) gives:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10416) all_10_61 = e2
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (518), (10416) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10417) all_4_7 = e2
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10417) implies:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10418) all_4_7 = e2
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (731), (10418) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10419) ~ (all_4_12 = e2)
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10419) implies:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10420) ~ (all_4_12 = e2)
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (730), (10418) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10421) ~ (all_4_20 = e2)
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10421) implies:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10422) ~ (all_4_20 = e2)
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9350), (10418) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10423) ~ (e4 = e2)
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9490) gives:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10424) all_10_59 = e3
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (420), (10424) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10425) all_4_18 = e3
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (10425) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10426) ~ (all_4_11 = e3)
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (721), (10425) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10427) ~ (all_4_24 = e3)
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10427) implies:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10428) ~ (all_4_24 = e3)
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9375) gives:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10429) all_8_8 = e3
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (595), (10411), (10429) are inconsistent by
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #491.
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10430) ~ (all_8_8 = e3)
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10431) all_8_8 = e2 | all_8_8 = e1 | all_8_8 = e0
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10431) gives:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10432) all_8_8 = e2
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (595), (10420), (10432) are inconsistent by
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #490.
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10433) all_8_8 = e1 | all_8_8 = e0
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10433) gives:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10434) all_8_8 = e1
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (595), (10434) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10435) all_4_12 = e1
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10435) implies:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10436) all_4_12 = e1
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (472), (10436) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10437) all_10_66 = e1
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (11), (13), (14), (431), (439), (448),
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (532), (562), (753), (8424), (9346), (9367),
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9505), (9519), (9529), (9532), (10340), (10426),
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10437) are inconsistent by sub-proof #227.
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10438) all_8_8 = e0
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (595), (10438) imply:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10439) all_4_12 = e0
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10439) implies:
% 179.54/26.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10440) all_4_12 = e0
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (472), (10440) imply:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10441) all_10_66 = e0
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9351), (10440) imply:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10442) ~ (e4 = e0)
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10411), (10440) imply:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10443) ~ (e3 = e0)
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10336), (10440) imply:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10444) ~ (e1 = e0)
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9532) gives:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10445) all_10_66 = e3
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10441), (10445) imply:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10446) e3 = e0
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (10446) imply:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10447) $false
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10447) is inconsistent.
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10448) all_10_67 = e2 | all_10_68 = e1 | all_10_69 = e0
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10448) gives:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10449) all_10_67 = e2
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (532), (10449) imply:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10450) all_4_14 = e2
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10450) implies:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10451) all_4_14 = e2
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (753), (10451) imply:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10452) ~ (all_4_21 = e2)
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10452) implies:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10453) ~ (all_4_21 = e2)
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (14), (431), (439), (448), (562), (612),
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (654), (755), (765), (766), (8424), (9341),
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9342), (9346), (9367), (9505), (9529), (10426),
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10428), (10453) are inconsistent by sub-proof
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #260.
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10454) all_10_68 = e1 | all_10_69 = e0
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (431), (9519), (10340), (10454) are
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #228.
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10455) all_10_64 = e2 | all_10_69 = e1 | all_10_74 = e0
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (415), (562), (8424), (9519), (10422),
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10455) are inconsistent by sub-proof #253.
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10456) all_10_66 = e1 | all_10_71 = e0
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10456) gives:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10457) all_10_66 = e1
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (472), (10336), (10457) are inconsistent by
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #724.
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10458) all_10_71 = e0
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (9346), (10458) are inconsistent by
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #642.
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10459) ~ (all_12_2 = e3)
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (486), (10459) imply:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10460) ~ (all_4_1 = e3)
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10405) gives:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10461) all_12_2 = e3
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (10461) imply:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10462) all_4_1 = e3
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10460), (10462) imply:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10463) $false
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10463) is inconsistent.
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10464) all_12_6 = e3 | all_12_12 = e3 | all_12_20 = e3
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10464) gives:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10465) all_12_6 = e3
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (10465) imply:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10466) all_4_4 = e3
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10362), (10466) imply:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10467) $false
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10467) is inconsistent.
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10468) all_12_12 = e3 | all_12_20 = e3
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10468) gives:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10469) all_12_12 = e3
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (10469) imply:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10470) all_4_9 = e3
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10342), (10470) imply:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10471) op(e3, e1) = e4
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (9351), (10471), (function-axioms) are
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #688.
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10472) all_12_20 = e3
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (10472) imply:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10473) all_4_16 = e3
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10401), (10473) imply:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10474) $false
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10474) is inconsistent.
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10475) all_12_9 = e3 | all_12_16 = e3
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10475) gives:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10476) all_12_9 = e3
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10332), (10476) are inconsistent by
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #211.
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10477) all_12_16 = e3
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (10477) imply:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10478) all_4_17 = e3
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10109), (10478) imply:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10479) $false
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10479) is inconsistent.
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10480) ~ (all_12_9 = e1)
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (494), (10480) imply:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10481) ~ (all_4_10 = e1)
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (364) gives:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10482) all_12_16 = e2
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (10482) imply:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10483) all_4_17 = e2
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (703), (10483) imply:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10484) ~ (all_4_2 = e2)
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (758), (10483) imply:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10485) ~ (all_4_21 = e2)
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10485) implies:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10486) ~ (all_4_21 = e2)
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (760), (10483) imply:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10487) ~ (all_4_24 = e2)
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10487) implies:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10488) ~ (all_4_24 = e2)
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9352), (10483) imply:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10489) ~ (e4 = e2)
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9367) gives:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10490) all_10_71 = e3
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (9346), (10490) are inconsistent by
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #281.
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10491) all_10_72 = e2 | all_10_73 = e1 | all_10_74 = e0
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10491) gives:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10492) all_10_72 = e2
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (448), (10486), (10492) are inconsistent by
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #266.
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10493) all_10_73 = e1 | all_10_74 = e0
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10493) gives:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10494) all_10_73 = e1
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (654), (10494) imply:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10495) all_4_23 = e1
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10495) implies:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10496) all_4_23 = e1
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (755), (10496) imply:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10497) ~ (all_4_15 = e1)
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (766), (10496) imply:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10498) ~ (all_4_24 = e1)
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10498) implies:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10499) ~ (all_4_24 = e1)
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9356), (10496) imply:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10500) ~ (e4 = e1)
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9341) gives:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10501) all_8_24 = e3
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (612), (10501) imply:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10502) all_4_24 = e3
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (696), (10502) imply:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10503) ~ (all_4_16 = e3)
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (741), (10502) imply:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10504) ~ (all_4_20 = e3)
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9529) gives:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10505) all_10_58 = e3
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (10505) imply:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10506) all_4_11 = e3
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10506) implies:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10507) all_4_11 = e3
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (662), (10507) imply:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10508) all_12_13 = e3
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (705), (10507) imply:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10509) ~ (all_4_3 = e3)
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (689), (10507) imply:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10510) ~ (all_4_9 = e3)
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (10507) imply:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10511) ~ (all_4_18 = e3)
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10511) implies:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10512) ~ (all_4_18 = e3)
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9401), (10507) imply:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10513) ~ (e4 = e3)
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9490) gives:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10514) all_10_59 = e3
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (420), (10512), (10514) are inconsistent by
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #280.
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10515) all_10_64 = e2 | all_10_69 = e1 | all_10_74 = e0
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10515) gives:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10516) all_10_64 = e2
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (415), (10516) imply:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10517) all_4_20 = e2
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10517) implies:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10518) all_4_20 = e2
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (694), (10518) imply:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10519) ~ (all_4_16 = e2)
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (719), (10518) imply:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10520) ~ (all_4_18 = e2)
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10504), (10518) imply:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10521) ~ (e3 = e2)
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (394) gives:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10522) all_12_1 = e2
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (10522) imply:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10523) all_4_2 = e2
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10484), (10523) imply:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10524) $false
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10524) is inconsistent.
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10525) all_12_3 = e2 | all_12_7 = e2 | all_12_13 = e2 |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_21 = e2
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10525) gives:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10526) all_12_3 = e2
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (482), (10526) imply:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10527) all_4_3 = e2
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (678), (10527) imply:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10528) ~ (all_4_1 = e2)
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10331) gives:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10529) all_12_2 = e2
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (10528), (10529) are inconsistent by
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #682.
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10530) all_12_6 = e2 | all_12_12 = e2 | all_12_20 = e2
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10530) gives:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10531) all_12_6 = e2
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (10531) imply:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10532) all_4_4 = e2
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10532) implies:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10533) all_4_4 = e2
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (10533) imply:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10534) ~ (all_4_14 = e2)
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10534) implies:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10535) ~ (all_4_14 = e2)
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (683), (10533) imply:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10536) ~ (all_4_16 = e2)
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (403) gives:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10537) all_12_0 = e3
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9467), (10537) imply:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10538) e4 = e3
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (10538) imply:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10539) $false
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10539) is inconsistent.
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10540) all_12_2 = e3 | all_12_6 = e3 | all_12_12 = e3 |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_20 = e3
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10540) gives:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10541) all_12_2 = e3
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (10541) imply:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10542) all_4_1 = e3
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10542) implies:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10543) all_4_1 = e3
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (680), (10543) imply:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10544) ~ (all_4_12 = e3)
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10544) implies:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10545) ~ (all_4_12 = e3)
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (431), (472), (532), (9519), (9532),
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10497), (10535), (10545) are inconsistent by
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #210.
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10546) all_12_6 = e3 | all_12_12 = e3 | all_12_20 = e3
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10546) gives:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10547) all_12_6 = e3
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (446), (657), (10326), (10519), (10530),
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10547) are inconsistent by sub-proof #208.
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10548) all_12_12 = e3 | all_12_20 = e3
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (657), (10503), (10510), (10548) are
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #648.
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10549) all_12_12 = e2 | all_12_20 = e2
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (657), (10326), (10519), (10549) are
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #209.
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10550) all_12_7 = e2 | all_12_13 = e2 | all_12_21 = e2
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (13), (656), (9395), (10508), (10520),
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10550) are inconsistent by sub-proof #316.
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10551) all_10_69 = e1 | all_10_74 = e0
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (562), (8424), (9519), (10551) are
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #275.
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10552) all_10_63 = e2 | all_10_68 = e1 | all_10_73 = e0
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13), (431), (562), (8424), (9505), (10493),
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10497), (10552) are inconsistent by sub-proof
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #217.
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10553) all_8_24 = e2 | all_8_24 = e1 | all_8_24 = e0
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (612), (8424), (10488), (10499), (10553) are
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #272.
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10554) all_10_74 = e0
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (562), (8424), (10554) are inconsistent by
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #276.
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10555) ~ (all_12_16 = e2)
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (659), (10555) imply:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10556) ~ (all_4_17 = e2)
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9387) gives:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10557) all_8_4 = e3
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (603), (10109), (10557) are inconsistent by
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #711.
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10558) ~ (all_8_4 = e3)
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10559) all_8_4 = e2 | all_8_4 = e1 | all_8_4 = e0
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10559) gives:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10560) all_8_4 = e2
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (603), (10556), (10560) are inconsistent by
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #710.
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10561) ~ (all_8_4 = e2)
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10562) all_8_4 = e1 | all_8_4 = e0
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10562) gives:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10563) all_8_4 = e1
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (603), (9603), (10563) are inconsistent by
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #214.
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10564) all_8_4 = e0
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (603), (10564) imply:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10565) all_4_17 = e0
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10565) implies:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10566) all_4_17 = e0
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (703), (10566) imply:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10567) ~ (all_4_2 = e0)
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (727), (10566) imply:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10568) ~ (all_4_5 = e0)
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (746), (10566) imply:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10569) ~ (all_4_10 = e0)
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (758), (10566) imply:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10570) ~ (all_4_21 = e0)
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10570) implies:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10571) ~ (all_4_21 = e0)
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (759), (10566) imply:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10572) ~ (all_4_23 = e0)
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10572) implies:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10573) ~ (all_4_23 = e0)
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (760), (10566) imply:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10574) ~ (all_4_24 = e0)
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9352), (10566) imply:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10575) ~ (e4 = e0)
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9603), (10566) imply:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10576) ~ (e1 = e0)
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (49), (10566) imply:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10577) op(e0, all_4_16) = e0
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_45,
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, all_4_16, e0, simplifying with (812), (10577)
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10578) all_10_45 = e0
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (367) gives:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10579) all_12_12 = e0
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (10579) imply:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10580) all_4_9 = e0
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (676), (10580) imply:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10581) ~ (all_4_1 = e0)
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (682), (10580) imply:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10582) ~ (all_4_4 = e0)
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (56), (10580) imply:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10583) op(all_4_10, e0) = e1
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (399) gives:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10584) all_12_0 = e1
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9467), (10584) imply:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10585) e4 = e1
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (10585) imply:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10586) $false
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10586) is inconsistent.
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10587) all_12_2 = e1 | all_12_6 = e1 | all_12_12 = e1 |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_20 = e1
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (378) gives:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10588) all_12_6 = e1
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (10588) imply:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10589) all_4_4 = e1
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (10589) imply:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10590) ~ (all_4_14 = e1)
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10590) implies:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10591) ~ (all_4_14 = e1)
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9397), (10589) imply:
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10592) ~ (e4 = e1)
% 179.54/26.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12), (14), (415), (420), (431), (439),
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (448), (455), (532), (562), (612), (654), (715),
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (721), (734), (736), (755), (765), (766), (8424),
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9341), (9342), (9346), (9367), (9394), (9414),
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9490), (9505), (9519), (9520), (9529), (10571),
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10591) are inconsistent by sub-proof #207.
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10593) ~ (all_12_6 = e1)
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (665), (10593) imply:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10594) ~ (all_4_4 = e1)
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (389) gives:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10595) all_12_2 = e2
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (10595) imply:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10596) all_4_1 = e2
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10587) gives:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10597) all_12_2 = e1
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10595), (10597) imply:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10598) e2 = e1
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (10598) imply:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10599) $false
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10599) is inconsistent.
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10600) all_12_6 = e1 | all_12_12 = e1 | all_12_20 = e1
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10600) gives:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10601) all_12_6 = e1
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (10601) imply:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10602) all_4_4 = e1
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10594), (10602) imply:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10603) $false
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10603) is inconsistent.
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10604) all_12_12 = e1 | all_12_20 = e1
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10604) gives:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10605) all_12_12 = e1
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10579), (10605) are inconsistent by
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #206.
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10606) all_12_20 = e1
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (657), (9523), (10577), (10606),
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #205.
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10607) ~ (all_12_2 = e2)
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (486), (10607) imply:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10608) ~ (all_4_1 = e2)
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (390) gives:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10609) all_12_2 = e3
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (10609) imply:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10610) all_4_1 = e3
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (675), (10610) imply:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10611) ~ (all_4_4 = e3)
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10611) implies:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10612) ~ (all_4_4 = e3)
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (680), (10610) imply:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10613) ~ (all_4_12 = e3)
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10613) implies:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10614) ~ (all_4_12 = e3)
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9348), (10610) imply:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10615) ~ (e4 = e3)
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9417) gives:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10616) all_8_10 = e3
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (568), (10612), (10616) are inconsistent by
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #661.
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10617) all_8_10 = e2 | all_8_10 = e1 | all_8_10 = e0
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10617) gives:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10618) all_8_10 = e2
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (568), (10618) imply:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10619) all_4_4 = e2
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10619) implies:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10620) all_4_4 = e2
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (10620) imply:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10621) ~ (all_4_14 = e2)
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10621) implies:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10622) ~ (all_4_14 = e2)
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (687), (10620) imply:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10623) ~ (all_4_21 = e2)
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10623) implies:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10624) ~ (all_4_21 = e2)
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (14), (431), (448), (472), (532), (562),
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (654), (755), (8424), (9346), (9367), (9519),
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9532), (10614), (10622), (10624) are inconsistent
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #236.
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10625) all_8_10 = e1 | all_8_10 = e0
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (568), (10582), (10594), (10625) are inconsistent
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #717.
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10626) ~ (all_12_2 = e3)
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (486), (10626) imply:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10627) ~ (all_4_1 = e3)
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9381) gives:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10628) all_8_5 = e3
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (566), (10628) imply:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10629) all_4_1 = e3
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10627), (10629) imply:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10630) $false
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10630) is inconsistent.
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10631) all_8_5 = e2 | all_8_5 = e1 | all_8_5 = e0
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10631) gives:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10632) all_8_5 = e2
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (566), (10632) imply:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10633) all_4_1 = e2
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10608), (10633) imply:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10634) $false
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10634) is inconsistent.
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10635) all_8_5 = e1 | all_8_5 = e0
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10635) gives:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10636) all_8_5 = e1
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (566), (10636) imply:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10637) all_4_1 = e1
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (65), (10637) imply:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10638) op(e1, all_4_2) = e4
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (383) gives:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10639) all_12_4 = e1
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (10639) imply:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10640) all_4_5 = e1
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (701), (10640) imply:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10641) ~ (all_4_2 = e1)
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (726), (10640) imply:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10642) ~ (all_4_10 = e1)
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9473), (10640) imply:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10643) ~ (e4 = e1)
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9420) gives:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10644) all_8_1 = e3
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (574), (10150), (10644) are inconsistent by
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #747.
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10645) all_8_1 = e2 | all_8_1 = e1 | all_8_1 = e0
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10645) gives:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10646) all_8_1 = e2
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (574), (10646) imply:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10647) all_4_2 = e2
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10647) implies:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10648) all_4_2 = e2
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (702), (10648) imply:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10649) ~ (all_4_10 = e2)
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10649) implies:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10650) ~ (all_4_10 = e2)
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9498) gives:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10651) all_8_3 = e3
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (594), (10651) imply:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10652) all_4_10 = e3
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10652) implies:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10653) all_4_10 = e3
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10583), (10653) imply:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10654) op(e3, e0) = e1
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, e1, e0,
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (9362), (10654) gives:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10655) e4 = e1
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (10655) imply:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10656) $false
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10656) is inconsistent.
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10657) all_8_3 = e2 | all_8_3 = e1 | all_8_3 = e0
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (594), (10481), (10569), (10650), (10657) are
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #447.
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10658) all_8_1 = e1 | all_8_1 = e0
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (574), (10567), (10641), (10658) are inconsistent
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #543.
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10659) ~ (all_12_4 = e1)
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (498), (10659) imply:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10660) ~ (all_4_5 = e1)
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9608) gives:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10661) all_12_1 = e1
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (10661) imply:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10662) all_4_2 = e1
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10638), (10662) imply:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10663) op(e1, e1) = e4
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (9508), (10663), (function-axioms) are
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #705.
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10664) all_12_4 = e1 | all_12_9 = e1 | all_12_16 = e1
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (494), (498), (659), (9603), (10481), (10660),
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10664) are inconsistent by sub-proof #201.
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10665) all_8_5 = e0
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (566), (10665) imply:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10666) all_4_1 = e0
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10581), (10666) imply:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10667) $false
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10667) is inconsistent.
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10668) ~ (all_12_12 = e0)
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (446), (10668) imply:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10669) ~ (all_4_9 = e0)
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (393) gives:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10670) all_12_1 = e1
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (10670) imply:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10671) all_4_2 = e1
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (701), (10671) imply:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10672) ~ (all_4_5 = e1)
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10672) implies:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10673) ~ (all_4_5 = e1)
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (702), (10671) imply:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10674) ~ (all_4_10 = e1)
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (368) gives:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10675) all_12_12 = e1
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (10675) imply:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10676) all_4_9 = e1
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (692), (10676) imply:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10677) ~ (all_4_23 = e1)
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10677) implies:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10678) ~ (all_4_23 = e1)
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9475), (10676) imply:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10679) ~ (e4 = e1)
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9529) gives:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10680) all_10_58 = e3
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (10680) imply:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10681) all_4_11 = e3
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (662), (10681) imply:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10682) all_12_13 = e3
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (718), (10681) imply:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10683) ~ (all_4_23 = e3)
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10683) implies:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10684) ~ (all_4_23 = e3)
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9401), (10681) imply:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10685) ~ (e4 = e3)
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9390) gives:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10686) all_8_19 = e3
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (551), (10684), (10686) are inconsistent by
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #668.
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10687) all_8_19 = e2 | all_8_19 = e1 | all_8_19 = e0
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10687) gives:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10688) all_8_19 = e2
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (551), (10688) imply:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10689) all_4_23 = e2
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10689) implies:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10690) all_4_23 = e2
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (22), (10690) imply:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10691) op(e1, e0) = e2
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (654), (10690) imply:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10692) all_10_73 = e2
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (764), (10690) imply:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10693) ~ (all_4_21 = e2)
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9367) gives:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10694) all_10_71 = e3
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (9346), (10694) are inconsistent by
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #281.
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10695) all_10_72 = e2 | all_10_73 = e1 | all_10_74 = e0
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10695) gives:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10696) all_10_72 = e2
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (448), (10693), (10696) are inconsistent by
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #266.
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10697) all_10_73 = e1 | all_10_74 = e0
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10697) gives:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10698) all_10_73 = e1
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10692), (10698) imply:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10699) e2 = e1
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10699) implies:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10700) e2 = e1
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (10700) imply:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10701) $false
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10701) is inconsistent.
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10702) all_10_74 = e0
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (562), (8424), (10702) are inconsistent by
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #276.
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10703) ~ (all_8_19 = e2)
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (551), (10703) imply:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10704) ~ (all_4_23 = e2)
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10325) gives:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10705) all_12_13 = e2
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10682), (10705) imply:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10706) e3 = e2
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (10706) imply:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10707) $false
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10707) is inconsistent.
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10708) all_12_14 = e2 | all_12_15 = e2 | all_12_19 = e2
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10708) gives:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10709) all_12_14 = e2
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9506), (10709) imply:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10710) e4 = e2
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13), (10710) imply:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10711) $false
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10711) is inconsistent.
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10712) all_12_15 = e2 | all_12_19 = e2
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10712) gives:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10713) all_12_15 = e2
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (660), (10713) imply:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10714) all_4_15 = e2
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (10714) imply:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10715) ~ (all_4_10 = e2)
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (415), (420), (431), (439), (448), (455),
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (532), (562), (583), (594), (603), (612), (654),
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (715), (721), (723), (725), (726), (727), (741),
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (751), (755), (765), (766), (8424), (9341),
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9342), (9346), (9356), (9367), (9387), (9394),
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9414), (9473), (9490), (9498), (9500), (9505),
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9519), (9520), (9529), (9603), (10109), (10481),
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10556), (10568), (10569), (10573), (10673),
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10715) are inconsistent by sub-proof #212.
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10716) all_12_19 = e2
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (430), (10716) imply:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10717) all_4_23 = e2
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10704), (10717) imply:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10718) $false
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10718) is inconsistent.
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10719) all_10_63 = e2 | all_10_68 = e1 | all_10_73 = e0
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13), (14), (415), (420), (431), (439),
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (448), (455), (532), (562), (612), (654), (715),
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (721), (734), (736), (751), (755), (765), (766),
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8424), (9341), (9342), (9346), (9367), (9394),
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9414), (9490), (9505), (9508), (9519), (9520),
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9529), (10571), (10573), (10719) are inconsistent
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #200.
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10720) ~ (all_12_12 = e1)
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (446), (10720) imply:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10721) ~ (all_4_9 = e1)
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13), (415), (420), (431), (439), (448),
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (455), (532), (562), (570), (612), (654), (689),
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (715), (721), (734), (736), (751), (755), (765),
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (766), (8424), (9341), (9342), (9346), (9367),
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9394), (9414), (9475), (9490), (9502), (9505),
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9508), (9519), (9520), (9529), (10326), (10571),
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10573), (10669), (10721) are inconsistent by
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #199.
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10722) ~ (all_12_1 = e1)
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (666), (10722) imply:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10723) ~ (all_4_2 = e1)
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9420) gives:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10724) all_8_1 = e3
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (574), (10150), (10724) are inconsistent by
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #747.
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10725) all_8_1 = e2 | all_8_1 = e1 | all_8_1 = e0
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9608) gives:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10726) all_12_1 = e1
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (10726) imply:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10727) all_4_2 = e1
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10723), (10727) imply:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10728) $false
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10728) is inconsistent.
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10729) all_12_4 = e1 | all_12_9 = e1 | all_12_16 = e1
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10729) gives:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10730) all_12_4 = e1
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (10730) imply:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10731) all_4_5 = e1
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (726), (10731) imply:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10732) ~ (all_4_10 = e1)
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9473), (10731) imply:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10733) ~ (e4 = e1)
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (10731) imply:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10734) op(all_4_4, e1) = e4
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10725) gives:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10735) all_8_1 = e2
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (574), (10735) imply:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10736) all_4_2 = e2
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10736) implies:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10737) all_4_2 = e2
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (702), (10737) imply:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10738) ~ (all_4_10 = e2)
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10738) implies:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10739) ~ (all_4_10 = e2)
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9396), (10737) imply:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10740) ~ (e4 = e2)
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9498) gives:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10741) all_8_3 = e3
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (594), (10741) imply:
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10742) all_4_10 = e3
% 179.54/26.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10742) implies:
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10743) all_4_10 = e3
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (10743) imply:
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10744) op(all_4_9, e3) = e4
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (378) gives:
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10745) all_12_6 = e1
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (10745) imply:
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10746) all_4_4 = e1
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10734), (10746) imply:
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10747) op(e1, e1) = e4
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (9508), (10747), (function-axioms) are
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #705.
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10748) ~ (all_12_6 = e1)
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (665), (10748) imply:
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10749) ~ (all_4_4 = e1)
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (359) gives:
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10750) all_12_20 = e1
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (657), (9523), (10577), (10750),
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #205.
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10751) ~ (all_12_20 = e1)
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (657), (10751) imply:
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10752) ~ (all_4_16 = e1)
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (399) gives:
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10753) all_12_0 = e1
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9467), (10753) imply:
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10754) e4 = e1
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (10754) imply:
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10755) $false
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10755) is inconsistent.
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10756) all_12_2 = e1 | all_12_6 = e1 | all_12_12 = e1 |
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_20 = e1
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (388) gives:
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10757) all_12_2 = e1
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (10757) imply:
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10758) all_4_1 = e1
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (676), (10758) imply:
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10759) ~ (all_4_9 = e1)
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10759) implies:
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10760) ~ (all_4_9 = e1)
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13), (415), (420), (431), (439), (448),
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (455), (532), (562), (570), (612), (654), (689),
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (715), (721), (734), (736), (751), (755), (765),
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (766), (8424), (9341), (9342), (9346), (9367),
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9394), (9414), (9475), (9490), (9502), (9505),
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9508), (9519), (9520), (9529), (10326), (10571),
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10573), (10669), (10760) are inconsistent by
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #199.
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10761) ~ (all_12_2 = e1)
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (486), (10761) imply:
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10762) ~ (all_4_1 = e1)
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10756) gives:
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10763) all_12_2 = e1
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (10763) imply:
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10764) all_4_1 = e1
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10762), (10764) imply:
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10765) $false
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10765) is inconsistent.
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10766) all_12_6 = e1 | all_12_12 = e1 | all_12_20 = e1
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10766) gives:
% 179.54/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10767) all_12_6 = e1
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (10767) imply:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10768) all_4_4 = e1
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10749), (10768) imply:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10769) $false
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10769) is inconsistent.
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10770) all_12_12 = e1 | all_12_20 = e1
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10770) gives:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10771) all_12_12 = e1
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (10771) imply:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10772) all_4_9 = e1
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10744), (10772) imply:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10773) op(e1, e3) = e4
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (9401), (10773), (function-axioms) are
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #694.
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10774) all_12_20 = e1
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (10774) imply:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10775) all_4_16 = e1
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10752), (10775) imply:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10776) $false
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10776) is inconsistent.
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10777) all_8_3 = e2 | all_8_3 = e1 | all_8_3 = e0
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (594), (10481), (10569), (10739), (10777) are
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #447.
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10778) all_8_1 = e1 | all_8_1 = e0
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (574), (10567), (10723), (10778) are inconsistent
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #543.
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10779) all_12_9 = e1 | all_12_16 = e1
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (494), (659), (9603), (10481), (10779) are
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #202.
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (10780) ~ (all_8_17 = e4)
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (590), (10780) imply:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (10781) ~ (all_4_13 = e4)
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (41), (51), (430), (660), (661), (662),
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (9356), (9401), (9482), (9493), (10781),
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | #427.
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.00 | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | (10782) all_12_2 = e4 | all_12_6 = e4 | all_12_12 = e4 |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | all_12_20 = e4
% 179.94/27.00 | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | BETA: splitting (10782) gives:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | (10783) all_12_2 = e4
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (9348), (10783) are inconsistent by
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | sub-proof #695.
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | (10784) all_12_6 = e4 | all_12_12 = e4 | all_12_20 = e4
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | BETA: splitting (10784) gives:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | (10785) all_12_6 = e4
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (665), (9397), (10785) are inconsistent by
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | sub-proof #780.
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | (10786) all_12_12 = e4 | all_12_20 = e4
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10786) gives:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | (10787) all_12_12 = e4
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (10787) imply:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | (10788) all_4_9 = e4
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | SIMP: (10788) implies:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | (10789) all_4_9 = e4
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (669), (10789) imply:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | (10790) ~ (all_4_0 = e4)
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (691), (10789) imply:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | (10791) ~ (all_4_15 = e4)
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | SIMP: (10791) implies:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | (10792) ~ (all_4_15 = e4)
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | (10793) all_8_0 = e4
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (564), (10790), (10793) are inconsistent by
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #706.
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | (10794) all_8_0 = e3 | all_8_0 = e2 | all_8_0 = e1 |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | all_8_0 = e0
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (23), (29), (35), (66), (400), (401), (404),
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | (506), (564), (9342), (9349), (9399), (10792),
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | (10794), (function-axioms) are inconsistent by
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #283.
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | (10795) all_12_20 = e4
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (657), (9466), (10795) are inconsistent by
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | sub-proof #572.
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.00 | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.00 | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | End of split
% 179.94/27.00 | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | End of split
% 179.94/27.00 | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | End of split
% 179.94/27.00 | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | End of split
% 179.94/27.00 | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | End of split
% 179.94/27.00 | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | Case 2:
% 179.94/27.00 | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | (10796) ~ (all_8_11 = e4)
% 179.94/27.00 | | | | | | | | | | | | | (10797) all_8_11 = e3 | all_8_11 = e2 | all_8_11 = e1 |
% 179.94/27.00 | | | | | | | | | | | | | all_8_11 = e0
% 179.94/27.00 | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | REDUCE: (578), (10796) imply:
% 179.94/27.00 | | | | | | | | | | | | | (10798) ~ (all_4_6 = e4)
% 179.94/27.00 | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | BETA: splitting (396) gives:
% 179.94/27.00 | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | Case 1:
% 179.94/27.00 | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | (10799) all_12_1 = e4
% 179.94/27.00 | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | COMBINE_EQS: (666), (10799) imply:
% 179.94/27.00 | | | | | | | | | | | | | | (10800) all_4_2 = e4
% 179.94/27.00 | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | COMBINE_EQS: (500), (10800) imply:
% 179.94/27.00 | | | | | | | | | | | | | | (10801) all_10_55 = e4
% 179.94/27.00 | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | REDUCE: (671), (10800) imply:
% 179.94/27.00 | | | | | | | | | | | | | | (10802) ~ (all_4_0 = e4)
% 179.94/27.00 | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | REDUCE: (697), (10800) imply:
% 179.94/27.00 | | | | | | | | | | | | | | (10803) ~ (all_4_3 = e4)
% 179.94/27.00 | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | REDUCE: (701), (10800) imply:
% 179.94/27.00 | | | | | | | | | | | | | | (10804) ~ (all_4_5 = e4)
% 179.94/27.00 | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | SIMP: (10804) implies:
% 179.94/27.00 | | | | | | | | | | | | | | (10805) ~ (all_4_5 = e4)
% 179.94/27.00 | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | REDUCE: (698), (10800) imply:
% 179.94/27.00 | | | | | | | | | | | | | | (10806) ~ (all_4_6 = e4)
% 179.94/27.00 | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | REDUCE: (702), (10800) imply:
% 179.94/27.00 | | | | | | | | | | | | | | (10807) ~ (all_4_10 = e4)
% 179.94/27.00 | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | SIMP: (10807) implies:
% 179.94/27.00 | | | | | | | | | | | | | | (10808) ~ (all_4_10 = e4)
% 179.94/27.00 | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | REDUCE: (699), (10800) imply:
% 179.94/27.00 | | | | | | | | | | | | | | (10809) ~ (all_4_11 = e4)
% 179.94/27.00 | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | SIMP: (10809) implies:
% 179.94/27.00 | | | | | | | | | | | | | | (10810) ~ (all_4_11 = e4)
% 179.94/27.00 | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | REDUCE: (700), (10800) imply:
% 179.94/27.00 | | | | | | | | | | | | | | (10811) ~ (all_4_18 = e4)
% 179.94/27.00 | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | SIMP: (10811) implies:
% 179.94/27.00 | | | | | | | | | | | | | | (10812) ~ (all_4_18 = e4)
% 179.94/27.00 | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | REDUCE: (64), (10800) imply:
% 179.94/27.00 | | | | | | | | | | | | | | (10813) op(e4, all_4_1) = e3
% 179.94/27.00 | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | REDUCE: (772), (10800) imply:
% 179.94/27.00 | | | | | | | | | | | | | | (10814) op(e4, e3) = all_10_1
% 179.94/27.00 | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | REDUCE: (793), (10800) imply:
% 179.94/27.00 | | | | | | | | | | | | | | (10815) op(e4, e4) = all_10_26
% 179.94/27.00 | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | REDUCE: (40), (10800) imply:
% 179.94/27.00 | | | | | | | | | | | | | | (10816) op(e4, e3) = e4
% 179.94/27.00 | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_10_1,
% 179.94/27.00 | | | | | | | | | | | | | | e3, e4, simplifying with (10814), (10816) gives:
% 179.94/27.00 | | | | | | | | | | | | | | (10817) all_10_1 = e4
% 179.94/27.00 | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_0,
% 179.94/27.00 | | | | | | | | | | | | | | all_10_26, e4, e4, simplifying with (41), (10815)
% 179.94/27.00 | | | | | | | | | | | | | | gives:
% 179.94/27.00 | | | | | | | | | | | | | | (10818) all_10_26 = all_4_0
% 179.94/27.00 | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | BETA: splitting (328) gives:
% 179.94/27.00 | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | Case 1:
% 179.94/27.00 | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | (10819) all_10_50 = e4
% 179.94/27.00 | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | REF_CLOSE: (508), (10802), (10819) are inconsistent by
% 179.94/27.00 | | | | | | | | | | | | | | | sub-proof #631.
% 179.94/27.00 | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | Case 2:
% 179.94/27.00 | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | (10820) ~ (all_10_50 = e4)
% 179.94/27.00 | | | | | | | | | | | | | | | (10821) all_10_55 = e3 | all_10_60 = e2 | all_10_65 = e1 |
% 179.94/27.00 | | | | | | | | | | | | | | | all_10_70 = e0
% 179.94/27.00 | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 179.94/27.00 | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | Case 1:
% 179.94/27.00 | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | (10822) all_8_3 = e4
% 179.94/27.00 | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | REF_CLOSE: (594), (10808), (10822) are inconsistent by
% 179.94/27.00 | | | | | | | | | | | | | | | | sub-proof #789.
% 179.94/27.00 | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | Case 2:
% 179.94/27.00 | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | (10823) all_8_3 = e3 | all_8_3 = e2 | all_8_3 = e1 |
% 179.94/27.00 | | | | | | | | | | | | | | | | all_8_3 = e0
% 179.94/27.00 | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 179.94/27.00 | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.00 | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | (10824) all_8_0 = e4
% 179.94/27.00 | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | REF_CLOSE: (564), (10802), (10824) are inconsistent by
% 179.94/27.00 | | | | | | | | | | | | | | | | | sub-proof #706.
% 179.94/27.00 | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.00 | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | (10825) ~ (all_8_0 = e4)
% 179.94/27.00 | | | | | | | | | | | | | | | | | (10826) all_8_0 = e3 | all_8_0 = e2 | all_8_0 = e1 |
% 179.94/27.00 | | | | | | | | | | | | | | | | | all_8_0 = e0
% 179.94/27.00 | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | BETA: splitting (381) gives:
% 179.94/27.00 | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.00 | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | (10827) all_12_6 = e4
% 179.94/27.00 | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (10827) imply:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | (10828) all_4_4 = e4
% 179.94/27.00 | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | SIMP: (10828) implies:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | (10829) all_4_4 = e4
% 179.94/27.00 | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (463), (10829) imply:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | (10830) all_10_52 = e4
% 179.94/27.00 | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | REDUCE: (682), (10829) imply:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | (10831) ~ (all_4_9 = e4)
% 179.94/27.00 | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | SIMP: (10831) implies:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | (10832) ~ (all_4_9 = e4)
% 179.94/27.00 | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | REDUCE: (683), (10829) imply:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | (10833) ~ (all_4_16 = e4)
% 179.94/27.00 | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | SIMP: (10833) implies:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | (10834) ~ (all_4_16 = e4)
% 179.94/27.00 | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | REDUCE: (62), (10829) imply:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | (10835) op(e4, all_4_5) = e4
% 179.94/27.00 | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | REDUCE: (769), (10829) imply:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | (10836) op(e4, e4) = all_10_10
% 179.94/27.00 | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_0,
% 179.94/27.00 | | | | | | | | | | | | | | | | | | all_10_10, e4, e4, simplifying with (41), (10836)
% 179.94/27.00 | | | | | | | | | | | | | | | | | | gives:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | (10837) all_10_10 = all_4_0
% 179.94/27.00 | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_27,
% 179.94/27.00 | | | | | | | | | | | | | | | | | | e4, all_4_5, e4, simplifying with (794), (10835)
% 179.94/27.00 | | | | | | | | | | | | | | | | | | gives:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | (10838) all_10_27 = e4
% 179.94/27.00 | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | BETA: splitting (362) gives:
% 179.94/27.00 | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | (10839) all_12_20 = e4
% 179.94/27.00 | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (657), (10834), (10839) are inconsistent by
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | sub-proof #572.
% 179.94/27.00 | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | (10840) ~ (all_12_20 = e4)
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | (10841) all_12_21 = e4 | all_12_22 = e4 | all_12_23 = e4 |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | all_12_24 = e4
% 179.94/27.00 | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | BETA: splitting (324) gives:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | (10842) all_10_54 = e4
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (424), (10834), (10842) are inconsistent by
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | sub-proof #198.
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | (10843) all_10_59 = e3 | all_10_64 = e2 | all_10_69 = e1 |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | all_10_74 = e0
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | BETA: splitting (329) gives:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | (10844) all_10_50 = e4
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (508), (10802), (10844) are inconsistent by
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | sub-proof #631.
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | (10845) all_10_51 = e3 | all_10_52 = e2 | all_10_53 = e1 |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | all_10_54 = e0
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (371) gives:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | (10846) all_12_12 = e4
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (10832), (10846) are inconsistent by
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | sub-proof #613.
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | (10847) all_12_13 = e4 | all_12_14 = e4 | all_12_15 = e4 |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | all_12_19 = e4
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | (10848) all_8_23 = e4
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (602), (10848) imply:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | (10849) all_4_22 = e4
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10849) implies:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | (10850) all_4_22 = e4
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (754), (10850) imply:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | (10851) ~ (all_4_15 = e4)
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10847) gives:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | (10852) all_12_13 = e4
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (662), (10810), (10852) are inconsistent by
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #604.
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | (10853) all_12_14 = e4 | all_12_15 = e4 | all_12_19 = e4
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (23), (29), (35), (66), (400), (401), (404),
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | (430), (506), (564), (660), (661), (733), (738),
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | (9342), (9349), (9356), (10826), (10851), (10853),
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | #282.
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | (10854) ~ (all_8_23 = e4)
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (602), (10854) imply:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | (10855) ~ (all_4_22 = e4)
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10841) gives:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | (10856) all_12_21 = e4
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (656), (10812), (10856) are inconsistent by
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #592.
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | (10857) all_12_22 = e4 | all_12_23 = e4 | all_12_24 = e4
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10857) gives:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | (10858) all_12_22 = e4
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (655), (10858) imply:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | (10859) all_4_20 = e4
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10859) implies:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | (10860) all_4_20 = e4
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (415), (10860) imply:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | (10861) all_10_64 = e4
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (734), (10860) imply:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | (10862) ~ (all_4_8 = e4)
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (737), (10860) imply:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | (10863) ~ (all_4_13 = e4)
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (781), (10860) imply:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | (10864) op(e4, e2) = all_10_22
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10847) gives:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (10865) all_12_13 = e4
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (662), (10810), (10865) are inconsistent by
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #604.
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (10866) all_12_14 = e4 | all_12_15 = e4 | all_12_19 = e4
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10866) gives:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10867) all_12_14 = e4
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (661), (10863), (10867) are inconsistent by
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #603.
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10868) all_12_15 = e4 | all_12_19 = e4
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10868) gives:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10869) all_12_15 = e4
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (660), (10869) imply:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10870) all_4_15 = e4
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (10870) imply:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10871) op(e4, e4) = e1
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_5,
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_22, e2, e4, simplifying with (39), (10864)
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10872) all_10_22 = all_4_5
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_0, e1,
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e4, simplifying with (41), (10871) gives:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10873) all_4_0 = e1
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (10873) imply:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10874) all_12_0 = e1
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (669), (10873) imply:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10875) ~ (all_4_9 = e1)
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10875) implies:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10876) ~ (all_4_9 = e1)
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (673), (10873) imply:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10877) ~ (all_4_10 = e1)
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10877) implies:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10878) ~ (all_4_10 = e1)
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (401) gives:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10879) all_12_0 = e2
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10874), (10879) are inconsistent by
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #197.
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10880) ~ (all_12_0 = e2)
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10881) all_12_2 = e2 | all_12_6 = e2 | all_12_12 = e2 |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_20 = e2
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10874), (10880) imply:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10882) ~ (e2 = e1)
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (402) gives:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10883) all_12_0 = e2
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10874), (10883) are inconsistent by
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #197.
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10884) all_12_1 = e2 | all_12_4 = e2 | all_12_9 = e2 |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_16 = e2
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (404) gives:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10885) all_12_0 = e3
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10874), (10885) are inconsistent by
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #385.
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10886) all_12_1 = e3 | all_12_4 = e3 | all_12_9 = e3 |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_16 = e3
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (369) gives:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10887) all_12_12 = e2
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (10887) imply:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10888) all_4_9 = e2
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10888) implies:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10889) all_4_9 = e2
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10832), (10889) imply:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10890) ~ (e4 = e2)
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (10889) imply:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10891) op(e2, all_4_10) = e4
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (364) gives:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10892) all_12_16 = e2
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (10892) imply:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10893) all_4_17 = e2
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (10893) imply:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10894) all_10_70 = e2
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (727), (10893) imply:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10895) ~ (all_4_5 = e2)
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10821) gives:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10896) all_10_55 = e3
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (10801), (10896) are inconsistent by
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #396.
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10897) all_10_60 = e2 | all_10_65 = e1 | all_10_70 = e0
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10897) gives:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10898) all_10_60 = e2
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (516), (10895), (10898) are inconsistent by
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #585.
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10899) all_10_65 = e1 | all_10_70 = e0
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10899) gives:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10900) all_10_65 = e1
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (528), (10878), (10900) are inconsistent by
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #595.
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10901) all_10_70 = e0
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10894), (10901) are inconsistent by
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #387.
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10902) ~ (all_12_16 = e2)
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (659), (10902) imply:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10903) ~ (all_4_17 = e2)
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (384) gives:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10904) all_12_4 = e2
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (10904) imply:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10905) all_4_5 = e2
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (10805), (10835), (10905), (function-axioms)
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #311.
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10906) ~ (all_12_4 = e2)
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (498), (10906) imply:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10907) ~ (all_4_5 = e2)
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10821) gives:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10908) all_10_55 = e3
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (10801), (10908) are inconsistent by
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #396.
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10909) all_10_60 = e2 | all_10_65 = e1 | all_10_70 = e0
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10909) gives:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10910) all_10_60 = e2
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (516), (10907), (10910) are inconsistent by
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #585.
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10911) ~ (all_10_60 = e2)
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10912) all_10_65 = e1 | all_10_70 = e0
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10884) gives:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10913) all_12_1 = e2
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10799), (10913) imply:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10914) e4 = e2
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13), (10914) imply:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10915) $false
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10915) is inconsistent.
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10916) all_12_4 = e2 | all_12_9 = e2 | all_12_16 = e2
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10916) gives:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10917) all_12_4 = e2
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (10917) imply:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10918) all_4_5 = e2
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10907), (10918) imply:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10919) $false
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10919) is inconsistent.
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10920) all_12_9 = e2 | all_12_16 = e2
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10912) gives:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10921) all_10_65 = e1
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (528), (10878), (10921) are inconsistent by
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #595.
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10922) all_10_70 = e0
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (10922) imply:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10923) all_4_17 = e0
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10923) implies:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10924) all_4_17 = e0
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (10924) imply:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10925) all_12_16 = e0
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10903), (10924) imply:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10926) ~ (e2 = e0)
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10920) gives:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10927) all_12_9 = e2
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (494), (10862), (10891), (10927),
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #196.
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10928) all_12_16 = e2
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10925), (10928) are inconsistent by
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #465.
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10929) ~ (all_12_12 = e2)
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (446), (10929) imply:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10930) ~ (all_4_9 = e2)
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (389) gives:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10931) all_12_2 = e2
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (10931) imply:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10932) all_4_1 = e2
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (512), (10932) imply:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10933) all_10_51 = e2
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (679), (10932) imply:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10934) ~ (all_4_7 = e2)
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10934) implies:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10935) ~ (all_4_7 = e2)
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9348), (10932) imply:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10936) ~ (e4 = e2)
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10813), (10932) imply:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10937) op(e4, e2) = e3
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10845) gives:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10938) all_10_51 = e3
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10933), (10938) imply:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10939) e3 = e2
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (10939) imply:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10940) $false
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10940) is inconsistent.
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10941) ~ (all_10_51 = e3)
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10942) all_10_52 = e2 | all_10_53 = e1 | all_10_54 = e0
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10933), (10941) imply:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10943) ~ (e3 = e2)
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10942) gives:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10944) all_10_52 = e2
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (10830), (10944) are inconsistent by
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #575.
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10945) ~ (all_10_52 = e2)
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10946) all_10_53 = e1 | all_10_54 = e0
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10946) gives:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10947) all_10_53 = e1
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (534), (10876), (10947) are inconsistent by
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #600.
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10948) all_10_54 = e0
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (424), (10948) imply:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10949) all_4_16 = e0
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10949) implies:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10950) all_4_16 = e0
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (696), (10950) imply:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10951) ~ (all_4_24 = e0)
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10834), (10950) imply:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10952) ~ (e4 = e0)
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (50), (10950) imply:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10953) op(e0, all_4_17) = e4
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (812), (10950) imply:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10954) op(e0, e0) = all_10_45
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_24,
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_45, e0, e0, simplifying with (17), (10954)
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10955) all_10_45 = all_4_24
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_5, e3,
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e4, simplifying with (39), (10937) gives:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10956) all_4_5 = e3
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (516), (10956) imply:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10957) all_10_60 = e3
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (10956) imply:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10958) all_12_4 = e3
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (726), (10956) imply:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10959) ~ (all_4_10 = e3)
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10959) implies:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10960) ~ (all_4_10 = e3)
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (727), (10956) imply:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10961) ~ (all_4_17 = e3)
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10961) implies:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10962) ~ (all_4_17 = e3)
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10805), (10956) imply:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10963) ~ (e4 = e3)
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10821) gives:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10964) all_10_55 = e3
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10801), (10964) imply:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10965) e4 = e3
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (10965) imply:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10966) $false
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10966) is inconsistent.
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10967) all_10_60 = e2 | all_10_65 = e1 | all_10_70 = e0
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10967) gives:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10968) all_10_60 = e2
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10957), (10968) imply:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10969) e3 = e2
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10969) implies:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10970) e3 = e2
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10958), (10970) imply:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10971) all_12_4 = e2
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (11), (13), (420), (472), (494), (514),
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (518), (560), (562), (659), (666), (697), (700),
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (749), (8424), (9346), (9370), (10843), (10861),
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10886), (10935), (10960), (10962), (10971) are
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #187.
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10972) all_10_65 = e1 | all_10_70 = e0
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10972) gives:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10973) all_10_65 = e1
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (528), (10878), (10973) are inconsistent by
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #595.
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10974) all_10_70 = e0
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (488), (9342), (10953), (10974),
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #185.
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10975) ~ (all_12_2 = e2)
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (486), (10975) imply:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10976) ~ (all_4_1 = e2)
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10881) gives:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10977) all_12_2 = e2
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (10977) imply:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10978) all_4_1 = e2
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10976), (10978) imply:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10979) $false
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10979) is inconsistent.
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10980) all_12_6 = e2 | all_12_12 = e2 | all_12_20 = e2
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10980) gives:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10981) all_12_6 = e2
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10827), (10981) imply:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10982) e4 = e2
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10982) implies:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10983) e4 = e2
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13), (10983) imply:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10984) $false
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10984) is inconsistent.
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10985) all_12_12 = e2 | all_12_20 = e2
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10985) gives:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10986) all_12_12 = e2
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (10930), (10986) are inconsistent by
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #516.
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10987) all_12_20 = e2
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (10987) imply:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10988) all_4_16 = e2
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10988) implies:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10989) all_4_16 = e2
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (424), (10989) imply:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10990) all_10_54 = e2
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10834), (10989) imply:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10991) ~ (e4 = e2)
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10845) gives:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10992) all_10_51 = e3
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (512), (9348), (10813), (10816), (10992),
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #306.
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10993) all_10_52 = e2 | all_10_53 = e1 | all_10_54 = e0
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10993) gives:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10994) all_10_52 = e2
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (10830), (10994) are inconsistent by
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #575.
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10995) all_10_53 = e1 | all_10_54 = e0
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (534), (10876), (10990), (10995) are
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #574.
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10996) all_12_19 = e4
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (430), (9356), (10996) are inconsistent by
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #593.
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | (10997) all_12_23 = e4 | all_12_24 = e4
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (410), (414), (9342), (10855), (10997) are
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #183.
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.01 | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.01 | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.01 | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | (10998) ~ (all_12_6 = e4)
% 179.94/27.01 | | | | | | | | | | | | | | | | | | (10999) all_12_7 = e4 | all_12_8 = e4 | all_12_11 = e4 |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | all_12_18 = e4
% 179.94/27.01 | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | REDUCE: (665), (10998) imply:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | (11000) ~ (all_4_4 = e4)
% 179.94/27.01 | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | BETA: splitting (405) gives:
% 179.94/27.01 | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | (11001) all_12_0 = e4
% 179.94/27.01 | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (11001) imply:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | (11002) all_4_0 = e4
% 179.94/27.01 | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | REDUCE: (10802), (11002) imply:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | (11003) $false
% 179.94/27.01 | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | CLOSE: (11003) is inconsistent.
% 179.94/27.01 | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | (11004) all_12_2 = e4 | all_12_6 = e4 | all_12_12 = e4 |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | all_12_20 = e4
% 179.94/27.01 | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | BETA: splitting (362) gives:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | (11005) all_12_20 = e4
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (11005) imply:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | (11006) all_4_16 = e4
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | SIMP: (11006) implies:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | (11007) all_4_16 = e4
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | REDUCE: (688), (11007) imply:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | (11008) ~ (all_4_9 = e4)
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | REDUCE: (771), (11007) imply:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | (11009) op(e4, e4) = all_10_20
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_0,
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | all_10_20, e4, e4, simplifying with (41), (11009)
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | gives:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | (11010) all_10_20 = all_4_0
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | BETA: splitting (371) gives:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | (11011) all_12_12 = e4
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (11008), (11011) are inconsistent by
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | sub-proof #613.
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | (11012) all_12_13 = e4 | all_12_14 = e4 | all_12_15 = e4 |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | all_12_19 = e4
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (17), (23), (29), (35), (41), (51), (58),
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | (66), (225), (400), (401), (404), (430), (454),
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | (462), (506), (564), (600), (658), (660), (661),
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | (662), (664), (733), (738), (751), (9342), (9349),
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | (9354), (9356), (10798), (10810), (10826),
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | (10999), (11012), (function-axioms) are
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #182.
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | (11013) ~ (all_12_20 = e4)
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | (11014) all_12_21 = e4 | all_12_22 = e4 | all_12_23 = e4 |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | all_12_24 = e4
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | REDUCE: (657), (11013) imply:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | (11015) ~ (all_4_16 = e4)
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | BETA: splitting (11004) gives:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | |
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.01 | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | (11016) all_12_2 = e4
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (9348), (11016) are inconsistent by
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | sub-proof #695.
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | (11017) all_12_6 = e4 | all_12_12 = e4 | all_12_20 = e4
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11017) gives:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | (11018) all_12_6 = e4
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (665), (11000), (11018) are inconsistent by
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | sub-proof #780.
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | (11019) all_12_12 = e4 | all_12_20 = e4
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11019) gives:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | (11020) all_12_12 = e4
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (11020) imply:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | (11021) all_4_9 = e4
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11021) implies:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | (11022) all_4_9 = e4
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (534), (11022) imply:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | (11023) all_10_53 = e4
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (691), (11022) imply:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | (11024) ~ (all_4_15 = e4)
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11024) implies:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | (11025) ~ (all_4_15 = e4)
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (11022) imply:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | (11026) op(e4, all_4_10) = e4
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (770), (11022) imply:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | (11027) op(e4, e4) = all_10_15
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (56), (11022) imply:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | (11028) op(all_4_10, e4) = e1
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_0,
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | all_10_15, e4, e4, simplifying with (41), (11027)
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | (11029) all_10_15 = all_4_0
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_28,
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | e4, all_4_10, e4, simplifying with (795), (11026)
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | (11030) all_10_28 = e4
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (329) gives:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | (11031) all_10_50 = e4
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (508), (10802), (11031) are inconsistent by
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #631.
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | (11032) all_10_51 = e3 | all_10_52 = e2 | all_10_53 = e1 |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | all_10_54 = e0
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (386) gives:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | (11033) all_12_4 = e4
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (10805), (11033) are inconsistent by
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #686.
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | (11034) all_12_5 = e4 | all_12_8 = e4 | all_12_14 = e4 |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | all_12_22 = e4
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (11035) all_8_22 = e4
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (592), (11035) imply:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (11036) all_4_20 = e4
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (734), (11036) imply:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (11037) ~ (all_4_8 = e4)
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (23), (29), (35), (66), (400), (401), (404),
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (506), (564), (9342), (9349), (10826), (11025),
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (11037), (function-axioms) are inconsistent by
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #283.
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (11038) ~ (all_8_22 = e4)
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (592), (11038) imply:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (11039) ~ (all_4_20 = e4)
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11034) gives:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11040) all_12_5 = e4
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (9350), (11040) are inconsistent by
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #566.
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11041) all_12_8 = e4 | all_12_14 = e4 | all_12_22 = e4
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11014) gives:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11042) all_12_21 = e4
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (656), (10812), (11042) are inconsistent by
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #592.
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11043) all_12_22 = e4 | all_12_23 = e4 | all_12_24 = e4
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11043) gives:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11044) all_12_22 = e4
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (655), (11039), (11044) are inconsistent by
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #640.
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11045) all_12_23 = e4 | all_12_24 = e4
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11045) gives:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11046) all_12_23 = e4
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (414), (11046) imply:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11047) all_4_22 = e4
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11047) implies:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11048) all_4_22 = e4
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (752), (11048) imply:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11049) ~ (all_4_14 = e4)
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (786), (11048) imply:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11050) op(e4, e1) = all_10_23
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10999) gives:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11051) all_12_7 = e4
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (462), (11051) imply:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11052) all_4_6 = e4
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10798), (11052) imply:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11053) $false
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11053) is inconsistent.
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11054) all_12_8 = e4 | all_12_11 = e4 | all_12_18 = e4
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11041) gives:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11055) all_12_8 = e4
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (664), (11055) imply:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11056) all_4_8 = e4
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (58), (11056) imply:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11057) op(e4, e4) = e2
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_10,
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_23, e1, e4, simplifying with (38), (11050)
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11058) all_10_23 = all_4_10
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_0, e2,
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e4, simplifying with (41), (11057) gives:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11059) all_4_0 = e2
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (668), (11059) imply:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11060) ~ (all_4_4 = e2)
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11060) implies:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11061) ~ (all_4_4 = e2)
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (672), (11059) imply:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11062) ~ (all_4_5 = e2)
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11062) implies:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11063) ~ (all_4_5 = e2)
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (673), (11059) imply:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11064) ~ (all_4_10 = e2)
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11064) implies:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11065) ~ (all_4_10 = e2)
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (373) gives:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11066) all_12_9 = e1
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (11066) imply:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11067) all_4_10 = e1
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (10808), (11026), (11067), (function-axioms)
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #583.
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11068) ~ (all_12_9 = e1)
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (494), (11068) imply:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11069) ~ (all_4_10 = e1)
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10821) gives:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11070) all_10_55 = e3
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (10801), (11070) are inconsistent by
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #396.
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11071) all_10_60 = e2 | all_10_65 = e1 | all_10_70 = e0
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11071) gives:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11072) all_10_60 = e2
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (516), (11063), (11072) are inconsistent by
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #585.
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11073) all_10_65 = e1 | all_10_70 = e0
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11073) gives:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11074) all_10_65 = e1
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (528), (11069), (11074) are inconsistent by
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #595.
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11075) all_10_70 = e0
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11076) ~ (all_10_65 = e1)
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (11075) imply:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11077) all_4_17 = e0
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11077) implies:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11078) all_4_17 = e0
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (746), (11078) imply:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11079) ~ (all_4_10 = e0)
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (50), (11078) imply:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11080) op(all_4_16, e0) = e4
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (787), (11078) imply:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11081) op(e0, e0) = all_10_4
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10823) gives:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11082) all_8_3 = e3
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (594), (11082) imply:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11083) all_4_10 = e3
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11083) implies:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11084) all_4_10 = e3
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11028), (11084) imply:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11085) op(e3, e4) = e1
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_24,
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_4, e0, e0, simplifying with (17), (11081)
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11086) all_10_4 = all_4_24
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_1, e1,
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e3, simplifying with (36), (11085) gives:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11087) all_4_1 = e1
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (512), (11087) imply:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11088) all_10_51 = e1
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9348), (11087) imply:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11089) ~ (e4 = e1)
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11032) gives:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11090) all_10_51 = e3
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11088), (11090) imply:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11091) e3 = e1
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (11091) imply:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11092) $false
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11092) is inconsistent.
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11093) all_10_52 = e2 | all_10_53 = e1 | all_10_54 = e0
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11093) gives:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11094) all_10_52 = e2
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (463), (11094) imply:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11095) all_4_4 = e2
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11061), (11095) imply:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11096) $false
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11096) is inconsistent.
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11097) all_10_53 = e1 | all_10_54 = e0
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11097) gives:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11098) all_10_53 = e1
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11023), (11098) imply:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11099) e4 = e1
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (11099) imply:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11100) $false
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11100) is inconsistent.
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11101) all_10_54 = e0
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (424), (11101) imply:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11102) all_4_16 = e0
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11080), (11102) imply:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11103) op(e0, e0) = e4
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (9342), (11103), (function-axioms) are
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #186.
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11104) all_8_3 = e2 | all_8_3 = e1 | all_8_3 = e0
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (594), (11065), (11069), (11079), (11104) are
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #447.
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11105) ~ (all_12_8 = e4)
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (664), (11105) imply:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11106) ~ (all_4_8 = e4)
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (454), (658), (664), (9354), (11049), (11054),
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11106) are inconsistent by sub-proof #712.
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11107) all_12_24 = e4
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (410), (9342), (11107) are inconsistent by
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #184.
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | (11108) all_12_20 = e4
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (657), (11015), (11108) are inconsistent by
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #572.
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.02 | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.02 | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | End of split
% 179.94/27.02 | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | End of split
% 179.94/27.02 | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | End of split
% 179.94/27.02 | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | End of split
% 179.94/27.02 | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | Case 2:
% 179.94/27.02 | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | (11109) ~ (all_12_1 = e4)
% 179.94/27.02 | | | | | | | | | | | | | | (11110) all_12_3 = e4 | all_12_7 = e4 | all_12_13 = e4 |
% 179.94/27.02 | | | | | | | | | | | | | | all_12_21 = e4
% 179.94/27.02 | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | REDUCE: (666), (11109) imply:
% 179.94/27.02 | | | | | | | | | | | | | | (11111) ~ (all_4_2 = e4)
% 179.94/27.02 | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 179.94/27.02 | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | Case 1:
% 179.94/27.02 | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | (11112) all_8_1 = e4
% 179.94/27.02 | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | REF_CLOSE: (574), (11111), (11112) are inconsistent by
% 179.94/27.02 | | | | | | | | | | | | | | | sub-proof #776.
% 179.94/27.02 | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | Case 2:
% 179.94/27.02 | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | (11113) ~ (all_8_1 = e4)
% 179.94/27.02 | | | | | | | | | | | | | | | (11114) all_8_1 = e3 | all_8_1 = e2 | all_8_1 = e1 |
% 179.94/27.02 | | | | | | | | | | | | | | | all_8_1 = e0
% 179.94/27.02 | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | BETA: splitting (406) gives:
% 179.94/27.02 | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | Case 1:
% 179.94/27.02 | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | (11115) all_12_0 = e4
% 179.94/27.02 | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (11115) imply:
% 179.94/27.02 | | | | | | | | | | | | | | | | (11116) all_4_0 = e4
% 179.94/27.02 | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | REDUCE: (667), (11116) imply:
% 179.94/27.02 | | | | | | | | | | | | | | | | (11117) ~ (all_4_1 = e4)
% 179.94/27.02 | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | REDUCE: (668), (11116) imply:
% 179.94/27.02 | | | | | | | | | | | | | | | | (11118) ~ (all_4_4 = e4)
% 179.94/27.02 | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | SIMP: (11118) implies:
% 179.94/27.02 | | | | | | | | | | | | | | | | (11119) ~ (all_4_4 = e4)
% 179.94/27.02 | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | REDUCE: (672), (11116) imply:
% 179.94/27.02 | | | | | | | | | | | | | | | | (11120) ~ (all_4_5 = e4)
% 179.94/27.02 | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | SIMP: (11120) implies:
% 179.94/27.02 | | | | | | | | | | | | | | | | (11121) ~ (all_4_5 = e4)
% 179.94/27.02 | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | REDUCE: (669), (11116) imply:
% 179.94/27.02 | | | | | | | | | | | | | | | | (11122) ~ (all_4_9 = e4)
% 179.94/27.02 | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | SIMP: (11122) implies:
% 179.94/27.02 | | | | | | | | | | | | | | | | (11123) ~ (all_4_9 = e4)
% 179.94/27.02 | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | REDUCE: (673), (11116) imply:
% 179.94/27.02 | | | | | | | | | | | | | | | | (11124) ~ (all_4_10 = e4)
% 179.94/27.02 | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | SIMP: (11124) implies:
% 179.94/27.02 | | | | | | | | | | | | | | | | (11125) ~ (all_4_10 = e4)
% 179.94/27.02 | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | REDUCE: (670), (11116) imply:
% 179.94/27.02 | | | | | | | | | | | | | | | | (11126) ~ (all_4_16 = e4)
% 179.94/27.02 | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | SIMP: (11126) implies:
% 179.94/27.02 | | | | | | | | | | | | | | | | (11127) ~ (all_4_16 = e4)
% 179.94/27.02 | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | REDUCE: (674), (11116) imply:
% 179.94/27.02 | | | | | | | | | | | | | | | | (11128) ~ (all_4_17 = e4)
% 179.94/27.02 | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | REDUCE: (767), (11116) imply:
% 179.94/27.02 | | | | | | | | | | | | | | | | (11129) op(e4, e4) = all_10_0
% 179.94/27.02 | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | REDUCE: (792), (11116) imply:
% 179.94/27.02 | | | | | | | | | | | | | | | | (11130) op(e4, e4) = all_10_25
% 179.94/27.02 | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | REDUCE: (41), (11116) imply:
% 179.94/27.02 | | | | | | | | | | | | | | | | (11131) op(e4, e4) = e4
% 179.94/27.02 | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_25,
% 179.94/27.02 | | | | | | | | | | | | | | | | all_10_0, e4, e4, simplifying with (11129),
% 179.94/27.02 | | | | | | | | | | | | | | | | (11130) gives:
% 179.94/27.02 | | | | | | | | | | | | | | | | (11132) all_10_0 = all_10_25
% 179.94/27.02 | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_10_0,
% 179.94/27.02 | | | | | | | | | | | | | | | | e4, e4, simplifying with (11129), (11131) gives:
% 179.94/27.02 | | | | | | | | | | | | | | | | (11133) all_10_0 = e4
% 179.94/27.02 | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | COMBINE_EQS: (11132), (11133) imply:
% 179.94/27.02 | | | | | | | | | | | | | | | | (11134) all_10_25 = e4
% 179.94/27.02 | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | SIMP: (11134) implies:
% 179.94/27.02 | | | | | | | | | | | | | | | | (11135) all_10_25 = e4
% 179.94/27.02 | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | BETA: splitting (381) gives:
% 179.94/27.02 | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.02 | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | (11136) all_12_6 = e4
% 179.94/27.02 | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | REF_CLOSE: (665), (11119), (11136) are inconsistent by
% 179.94/27.02 | | | | | | | | | | | | | | | | | sub-proof #780.
% 179.94/27.02 | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.02 | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | (11137) ~ (all_12_6 = e4)
% 179.94/27.02 | | | | | | | | | | | | | | | | | (11138) all_12_7 = e4 | all_12_8 = e4 | all_12_11 = e4 |
% 179.94/27.02 | | | | | | | | | | | | | | | | | all_12_18 = e4
% 179.94/27.02 | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | BETA: splitting (324) gives:
% 179.94/27.02 | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.02 | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | (11139) all_10_54 = e4
% 179.94/27.02 | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (424), (11139) imply:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | (11140) all_4_16 = e4
% 179.94/27.02 | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | REDUCE: (11127), (11140) imply:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | (11141) $false
% 179.94/27.02 | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | CLOSE: (11141) is inconsistent.
% 179.94/27.02 | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.02 | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | (11142) ~ (all_10_54 = e4)
% 179.94/27.02 | | | | | | | | | | | | | | | | | | (11143) all_10_59 = e3 | all_10_64 = e2 | all_10_69 = e1 |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | all_10_74 = e0
% 179.94/27.02 | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 179.94/27.02 | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | (11144) all_8_2 = e4
% 179.94/27.02 | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (11121), (11144) are inconsistent by
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | sub-proof #777.
% 179.94/27.02 | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | (11145) ~ (all_8_2 = e4)
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | (11146) all_8_2 = e3 | all_8_2 = e2 | all_8_2 = e1 |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | all_8_2 = e0
% 179.94/27.02 | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | (11147) all_8_10 = e4
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (568), (11119), (11147) are inconsistent by
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | sub-proof #781.
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | (11148) all_8_10 = e3 | all_8_10 = e2 | all_8_10 = e1 |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | all_8_10 = e0
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | (11149) all_8_15 = e4
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (570), (11123), (11149) are inconsistent by
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | | sub-proof #782.
% 179.94/27.02 | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | (11150) ~ (all_8_15 = e4)
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | (11151) all_8_15 = e3 | all_8_15 = e2 | all_8_15 = e1 |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | all_8_15 = e0
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | (11152) all_8_3 = e4
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (594), (11125), (11152) are inconsistent by
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | sub-proof #789.
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | (11153) all_8_3 = e3 | all_8_3 = e2 | all_8_3 = e1 |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | all_8_3 = e0
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | (11154) all_8_20 = e4
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (572), (11127), (11154) are inconsistent by
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #313.
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | (11155) all_8_20 = e3 | all_8_20 = e2 | all_8_20 = e1 |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | all_8_20 = e0
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (371) gives:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | (11156) all_12_12 = e4
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (11123), (11156) are inconsistent by
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #613.
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | (11157) ~ (all_12_12 = e4)
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | (11158) all_12_13 = e4 | all_12_14 = e4 | all_12_15 = e4 |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | all_12_19 = e4
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (386) gives:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | (11159) all_12_4 = e4
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (11121), (11159) are inconsistent by
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #686.
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | (11160) ~ (all_12_4 = e4)
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | (11161) all_12_5 = e4 | all_12_8 = e4 | all_12_14 = e4 |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | all_12_22 = e4
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (11162) all_8_12 = e4
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (588), (11162) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (11163) all_4_8 = e4
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11163) implies:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (11164) all_4_8 = e4
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (58), (11164) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (11165) op(e4, e4) = e2
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (11131), (11165), (function-axioms) are
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #775.
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (11166) ~ (all_8_12 = e4)
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (588), (11166) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (11167) ~ (all_4_8 = e4)
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11138) gives:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11168) all_12_7 = e4
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (462), (11168) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11169) all_4_6 = e4
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10798), (11169) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11170) $false
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11170) is inconsistent.
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11171) all_12_8 = e4 | all_12_11 = e4 | all_12_18 = e4
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11171) gives:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11172) all_12_8 = e4
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (664), (11172) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11173) all_4_8 = e4
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11167), (11173) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11174) $false
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11174) is inconsistent.
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11175) all_12_11 = e4 | all_12_18 = e4
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11175) gives:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11176) all_12_11 = e4
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (454), (11176) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11177) all_4_14 = e4
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11177) implies:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11178) all_4_14 = e4
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (532), (11178) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11179) all_10_67 = e4
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (751), (11178) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11180) ~ (all_4_15 = e4)
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11180) implies:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11181) ~ (all_4_15 = e4)
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (752), (11178) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11182) ~ (all_4_22 = e4)
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11182) implies:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11183) ~ (all_4_22 = e4)
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (52), (11178) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11184) op(e4, all_4_13) = e1
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (784), (11178) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11185) op(e4, e1) = all_10_13
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_10,
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_13, e1, e4, simplifying with (38), (11185)
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11186) all_10_13 = all_4_10
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (321) gives:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11187) all_10_65 = e4
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (528), (11125), (11187) are inconsistent by
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #790.
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11188) ~ (all_10_65 = e4)
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11189) all_10_66 = e3 | all_10_67 = e2 | all_10_68 = e1 |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_69 = e0
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (326) gives:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11190) all_10_52 = e4
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (463), (11190) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11191) all_4_4 = e4
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11119), (11191) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11192) $false
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11192) is inconsistent.
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11193) ~ (all_10_52 = e4)
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11194) all_10_57 = e3 | all_10_62 = e2 | all_10_67 = e1 |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_72 = e0
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11195) all_8_18 = e4
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (600), (11195) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11196) all_4_15 = e4
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11181), (11196) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11197) $false
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11197) is inconsistent.
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11198) all_8_18 = e3 | all_8_18 = e2 | all_8_18 = e1 |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_18 = e0
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11199) all_8_23 = e4
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (602), (11199) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11200) all_4_22 = e4
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11200) implies:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11201) all_4_22 = e4
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11183), (11201) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11202) $false
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11202) is inconsistent.
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11203) all_8_23 = e3 | all_8_23 = e2 | all_8_23 = e1 |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_23 = e0
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (325) gives:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11204) all_10_53 = e4
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (534), (11204) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11205) all_4_9 = e4
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11123), (11205) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11206) $false
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11206) is inconsistent.
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11207) all_10_58 = e3 | all_10_63 = e2 | all_10_68 = e1 |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_73 = e0
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (322) gives:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11208) all_10_60 = e4
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (516), (11121), (11208) are inconsistent by
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #685.
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11209) all_10_61 = e3 | all_10_62 = e2 | all_10_63 = e1 |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_64 = e0
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11210) all_8_22 = e4
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (592), (11210) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11211) all_4_20 = e4
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (415), (11211) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11212) all_10_64 = e4
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (655), (11211) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11213) all_12_22 = e4
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (737), (11211) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11214) ~ (all_4_13 = e4)
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (719), (11211) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11215) ~ (all_4_18 = e4)
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11158) gives:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11216) all_12_13 = e4
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (662), (11216) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11217) all_4_11 = e4
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11217) implies:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11218) all_4_11 = e4
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (11218) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11219) all_10_58 = e4
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (11218) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11220) ~ (all_4_13 = e4)
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (11218) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11221) ~ (all_4_18 = e4)
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (55), (11218) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11222) op(e4, all_4_12) = e3
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (323) gives:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11223) all_10_55 = e4
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (500), (11111), (11223) are inconsistent by
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #415.
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11224) ~ (all_10_55 = e4)
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11225) all_10_56 = e3 | all_10_57 = e2 | all_10_58 = e1 |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_59 = e0
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (388) gives:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11226) all_12_2 = e1
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (11226) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11227) all_4_1 = e1
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11227) implies:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11228) all_4_1 = e1
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (675), (11228) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11229) ~ (all_4_4 = e1)
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11229) implies:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11230) ~ (all_4_4 = e1)
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (677), (11228) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11231) ~ (all_4_16 = e1)
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11231) implies:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11232) ~ (all_4_16 = e1)
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9348), (11228) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11233) ~ (e4 = e1)
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (65), (11228) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11234) op(e1, all_4_2) = e4
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (64), (11228) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11235) op(all_4_2, e1) = e3
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (797), (11228) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11236) op(e3, e1) = all_10_30
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_12,
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_30, e1, e3, simplifying with (33), (11236)
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11237) all_10_30 = all_4_12
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (401) gives:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11238) all_12_0 = e2
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11115), (11238) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11239) e4 = e2
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13), (11239) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11240) $false
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11240) is inconsistent.
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11241) ~ (all_12_0 = e2)
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11242) all_12_2 = e2 | all_12_6 = e2 | all_12_12 = e2 |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_20 = e2
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (393) gives:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11243) all_12_1 = e1
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (11243) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11244) all_4_2 = e1
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11234), (11244) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11245) op(e1, e1) = e4
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (11181), (11245), (function-axioms) are
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #705.
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11246) ~ (all_12_1 = e1)
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (666), (11246) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11247) ~ (all_4_2 = e1)
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (383) gives:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11248) all_12_4 = e1
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (11248) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11249) all_4_5 = e1
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (726), (11249) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11250) ~ (all_4_10 = e1)
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11250) implies:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11251) ~ (all_4_10 = e1)
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (724), (11249) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11252) ~ (all_4_13 = e1)
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11252) implies:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11253) ~ (all_4_13 = e1)
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (11249) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11254) op(all_4_4, e1) = e4
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (777), (11249) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11255) op(e1, e2) = all_10_2
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_13,
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_2, e2, e1, simplifying with (24), (11255)
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11256) all_10_2 = all_4_13
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (403) gives:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11257) all_12_0 = e3
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11115), (11257) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11258) e4 = e3
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (11258) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11259) $false
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11259) is inconsistent.
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11260) all_12_2 = e3 | all_12_6 = e3 | all_12_12 = e3 |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_20 = e3
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (374) gives:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11261) all_12_9 = e2
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (11261) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11262) all_4_10 = e2
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (11262) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11263) op(all_4_9, e2) = e4
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (56), (11262) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11264) op(e2, all_4_9) = e1
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (360) gives:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11265) all_12_20 = e2
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (11265) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11266) all_4_16 = e2
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (683), (11266) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11267) ~ (all_4_4 = e2)
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11260) gives:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11268) all_12_2 = e3
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11226), (11268) are inconsistent by
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #651.
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11269) all_12_6 = e3 | all_12_12 = e3 | all_12_20 = e3
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11269) gives:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11270) all_12_6 = e3
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (11270) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11271) all_4_4 = e3
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11254), (11271) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11272) op(e3, e1) = e4
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (9351), (11272), (function-axioms) are
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #688.
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11273) ~ (all_12_6 = e3)
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (665), (11273) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11274) ~ (all_4_4 = e3)
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (568), (11148), (11183), (11230), (11254),
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11267), (11274), (function-axioms) are
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #441.
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11275) ~ (all_12_20 = e2)
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (657), (11275) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11276) ~ (all_4_16 = e2)
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (369) gives:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11277) all_12_12 = e2
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (11277) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11278) all_4_9 = e2
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (29), (11263), (11264), (11278),
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #552.
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11279) ~ (all_12_12 = e2)
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (446), (11279) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11280) ~ (all_4_9 = e2)
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11242) gives:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11281) all_12_2 = e2
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11226), (11281) are inconsistent by
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #337.
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11282) all_12_6 = e2 | all_12_12 = e2 | all_12_20 = e2
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11282) gives:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11283) all_12_6 = e2
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (11283) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11284) all_4_4 = e2
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (11284) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11285) ~ (all_4_6 = e2)
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11285) implies:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11286) ~ (all_4_6 = e2)
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (11284) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11287) ~ (all_4_8 = e2)
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11287) implies:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11288) ~ (all_4_8 = e2)
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11119), (11284) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11289) ~ (e4 = e2)
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (12), (13), (420), (431), (435), (455),
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (472), (514), (518), (523), (560), (562), (707),
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (720), (721), (731), (754), (11143), (11179),
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11189), (11209), (11212), (11219), (11225),
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11253), (11286), (11288) are inconsistent by
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #176.
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11290) all_12_12 = e2 | all_12_20 = e2
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (657), (11276), (11280), (11290) are
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #209.
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11291) ~ (all_12_9 = e2)
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (494), (11291) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11292) ~ (all_4_10 = e2)
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (375) gives:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11293) all_12_9 = e3
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (11293) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11294) all_4_10 = e3
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (11294) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11295) op(all_4_9, e3) = e4
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (782), (11294) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11296) op(e3, e1) = all_10_3
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_12,
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_3, e1, e3, simplifying with (33), (11296)
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11297) all_10_3 = all_4_12
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (361) gives:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11298) all_12_20 = e3
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (11298) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11299) all_4_16 = e3
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (693), (11299) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11300) ~ (all_4_18 = e3)
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11300) implies:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11301) ~ (all_4_18 = e3)
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (696), (11299) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11302) ~ (all_4_24 = e3)
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11302) implies:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11303) ~ (all_4_24 = e3)
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11127), (11299) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11304) ~ (e4 = e3)
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11143) gives:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11305) all_10_59 = e3
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (420), (11305) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11306) all_4_18 = e3
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11301), (11306) imply:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11307) $false
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11307) is inconsistent.
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11308) all_10_64 = e2 | all_10_69 = e1 | all_10_74 = e0
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11308) gives:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11309) all_10_64 = e2
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (11212), (11309) are inconsistent by
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #195.
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11310) all_10_69 = e1 | all_10_74 = e0
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11310) gives:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11311) all_10_69 = e1
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (560), (11311) imply:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11312) all_4_22 = e1
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11312) implies:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11313) all_4_22 = e1
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (756), (11313) imply:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11314) ~ (all_4_24 = e1)
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11314) implies:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11315) ~ (all_4_24 = e1)
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9341) gives:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11316) all_8_24 = e3
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (612), (11303), (11316) are inconsistent by
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #267.
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11317) all_8_24 = e2 | all_8_24 = e1 | all_8_24 = e0
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11317) gives:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11318) all_8_24 = e2
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (612), (11318) imply:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11319) all_4_24 = e2
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11319) implies:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11320) all_4_24 = e2
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (765), (11320) imply:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11321) ~ (all_4_21 = e2)
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11), (14), (431), (435), (448), (455),
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (472), (518), (560), (562), (594), (600), (654),
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (731), (733), (738), (739), (744), (745), (754),
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (755), (8424), (9346), (9367), (11153), (11179),
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11189), (11198), (11207), (11209), (11212),
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11214), (11219), (11251), (11292), (11321) are
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #171.
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11322) all_8_24 = e1 | all_8_24 = e0
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (612), (8424), (11315), (11322) are inconsistent
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #273.
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11323) all_10_74 = e0
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (562), (8424), (11323) are inconsistent by
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #276.
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11324) ~ (all_12_20 = e3)
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (657), (11324) imply:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11325) ~ (all_4_16 = e3)
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (370) gives:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11326) all_12_12 = e3
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (11326) imply:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11327) all_4_9 = e3
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11295), (11327) imply:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11328) op(e3, e3) = e4
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (9349), (11328), (function-axioms) are
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #704.
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11329) ~ (all_12_12 = e3)
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (446), (11329) imply:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11330) ~ (all_4_9 = e3)
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (33), (446), (657), (665), (9351), (11226),
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11254), (11260), (11325), (11330),
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #647.
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11331) ~ (all_12_9 = e3)
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (494), (11331) imply:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11332) ~ (all_4_10 = e3)
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (395) gives:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11333) all_12_1 = e3
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (11333) imply:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11334) all_4_2 = e3
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (697), (11334) imply:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11335) ~ (all_4_3 = e3)
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11335) implies:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11336) ~ (all_4_3 = e3)
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (698), (11334) imply:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11337) ~ (all_4_6 = e3)
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11337) implies:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11338) ~ (all_4_6 = e3)
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (700), (11334) imply:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11339) ~ (all_4_18 = e3)
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11339) implies:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11340) ~ (all_4_18 = e3)
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11111), (11334) imply:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11341) ~ (e4 = e3)
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (13), (14), (420), (431), (435), (448),
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (455), (472), (514), (518), (523), (560), (562),
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (654), (728), (729), (749), (754), (764), (8424),
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9346), (9370), (11143), (11179), (11183),
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11194), (11207), (11212), (11219), (11336),
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11338), (11340) are inconsistent by sub-proof
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #169.
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11342) ~ (all_12_1 = e3)
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (666), (11342) imply:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11343) ~ (all_4_2 = e3)
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (394), (574), (594), (666), (702), (11114),
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11153), (11214), (11234), (11247), (11251),
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11292), (11332), (11343), (function-axioms) are
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #315.
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11344) ~ (all_12_4 = e1)
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (498), (11344) imply:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11345) ~ (all_4_5 = e1)
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (400) gives:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11346) all_12_0 = e1
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11115), (11346) imply:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11347) e4 = e1
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (11347) imply:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11348) $false
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11348) is inconsistent.
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11349) all_12_1 = e1 | all_12_4 = e1 | all_12_9 = e1 |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_16 = e1
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (373) gives:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11350) all_12_9 = e1
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (11350) imply:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11351) all_4_10 = e1
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (742), (11351) imply:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11352) ~ (all_4_12 = e1)
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11352) implies:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11353) ~ (all_4_12 = e1)
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (11351) imply:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11354) ~ (all_4_15 = e1)
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11354) implies:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11355) ~ (all_4_15 = e1)
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (745), (11351) imply:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11356) ~ (all_4_22 = e1)
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11356) implies:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11357) ~ (all_4_22 = e1)
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (12), (13), (420), (431), (435), (448),
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (455), (472), (514), (518), (523), (560), (562),
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (654), (706), (711), (728), (729), (764), (8424),
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9346), (9370), (11143), (11179), (11194),
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11207), (11212), (11215), (11219), (11353),
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11355), (11357) are inconsistent by sub-proof
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #167.
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11358) ~ (all_12_9 = e1)
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (494), (11358) imply:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11359) ~ (all_4_10 = e1)
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11349) gives:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11360) all_12_1 = e1
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (11360) imply:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11361) all_4_2 = e1
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11247), (11361) imply:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11362) $false
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11362) is inconsistent.
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11363) all_12_4 = e1 | all_12_9 = e1 | all_12_16 = e1
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11363) gives:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11364) all_12_4 = e1
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (11364) imply:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11365) all_4_5 = e1
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11345), (11365) imply:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11366) $false
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11366) is inconsistent.
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11367) all_12_9 = e1 | all_12_16 = e1
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11367) gives:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11368) all_12_9 = e1
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (11368) imply:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11369) all_4_10 = e1
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11359), (11369) imply:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11370) $false
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11370) is inconsistent.
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11371) all_12_16 = e1
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (11371) imply:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11372) all_4_17 = e1
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (759), (11372) imply:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11373) ~ (all_4_23 = e1)
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11373) implies:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11374) ~ (all_4_23 = e1)
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (760), (11372) imply:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11375) ~ (all_4_24 = e1)
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11375) implies:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11376) ~ (all_4_24 = e1)
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (50), (11372) imply:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11377) op(all_4_16, e1) = e4
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9367) gives:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11378) all_10_71 = e3
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (9346), (11378) are inconsistent by
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #281.
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11379) all_10_72 = e2 | all_10_73 = e1 | all_10_74 = e0
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11379) gives:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11380) all_10_72 = e2
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (448), (11380) imply:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11381) all_4_21 = e2
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11381) implies:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11382) all_4_21 = e2
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (736), (11382) imply:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11383) ~ (all_4_8 = e2)
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11194) gives:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11384) all_10_57 = e3
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (523), (11384) imply:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11385) all_4_6 = e3
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11385) implies:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11386) all_4_6 = e3
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (698), (11386) imply:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11387) ~ (all_4_2 = e3)
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (24), (394), (572), (574), (612), (666),
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (695), (696), (756), (8424), (9341), (11114),
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11155), (11183), (11214), (11232), (11234),
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11235), (11247), (11376), (11377), (11387),
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #165.
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11388) all_10_62 = e2 | all_10_67 = e1 | all_10_72 = e0
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11388) gives:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11389) all_10_62 = e2
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (455), (11383), (11389) are inconsistent by
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #365.
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11390) all_10_67 = e1 | all_10_72 = e0
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11390) gives:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11391) all_10_67 = e1
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (11179), (11391) are inconsistent by
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #462.
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11392) all_10_72 = e0
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11380), (11392) are inconsistent by
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #277.
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11393) all_10_73 = e1 | all_10_74 = e0
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (562), (654), (8424), (11374), (11393) are
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #271.
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11394) ~ (all_12_2 = e1)
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (486), (11394) imply:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11395) ~ (all_4_1 = e1)
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (399) gives:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11396) all_12_0 = e1
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11115), (11396) imply:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11397) e4 = e1
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (11397) imply:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11398) $false
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11398) is inconsistent.
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11399) ~ (all_12_0 = e1)
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11400) all_12_2 = e1 | all_12_6 = e1 | all_12_12 = e1 |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_20 = e1
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (403) gives:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11401) all_12_0 = e3
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11115), (11401) imply:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11402) e4 = e3
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (11402) imply:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11403) $false
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11403) is inconsistent.
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11404) ~ (all_12_0 = e3)
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11405) all_12_2 = e3 | all_12_6 = e3 | all_12_12 = e3 |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_20 = e3
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (394) gives:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11406) all_12_1 = e2
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (11406) imply:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11407) all_4_2 = e2
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (697), (11407) imply:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11408) ~ (all_4_3 = e2)
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11408) implies:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11409) ~ (all_4_3 = e2)
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (698), (11407) imply:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11410) ~ (all_4_6 = e2)
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11410) implies:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11411) ~ (all_4_6 = e2)
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (702), (11407) imply:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11412) ~ (all_4_10 = e2)
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11412) implies:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11413) ~ (all_4_10 = e2)
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11111), (11407) imply:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11414) ~ (e4 = e2)
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (65), (11407) imply:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11415) op(all_4_1, e2) = e4
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (64), (11407) imply:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11416) op(e2, all_4_1) = e3
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (400) gives:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11417) all_12_0 = e1
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11115), (11417) imply:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11418) e4 = e1
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (11418) imply:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11419) $false
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11419) is inconsistent.
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11420) all_12_1 = e1 | all_12_4 = e1 | all_12_9 = e1 |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_16 = e1
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (379) gives:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11421) all_12_6 = e2
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (11421) imply:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11422) all_4_4 = e2
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11422) implies:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11423) all_4_4 = e2
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (675), (11423) imply:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11424) ~ (all_4_1 = e2)
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (687), (11423) imply:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11425) ~ (all_4_21 = e2)
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11425) implies:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11426) ~ (all_4_21 = e2)
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9367) gives:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11427) all_10_71 = e3
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (9346), (11427) are inconsistent by
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #281.
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11428) ~ (all_10_71 = e3)
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11429) all_10_72 = e2 | all_10_73 = e1 | all_10_74 = e0
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11429) gives:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11430) all_10_72 = e2
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (448), (11426), (11430) are inconsistent by
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #266.
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11431) all_10_73 = e1 | all_10_74 = e0
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11431) gives:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11432) all_10_73 = e1
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (654), (11432) imply:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11433) all_4_23 = e1
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11433) implies:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11434) all_4_23 = e1
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (739), (11434) imply:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11435) ~ (all_4_13 = e1)
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (755), (11434) imply:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11436) ~ (all_4_15 = e1)
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9356), (11434) imply:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11437) ~ (e4 = e1)
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11207) gives:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11438) all_10_58 = e3
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (11219), (11438) are inconsistent by
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #351.
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11439) all_10_63 = e2 | all_10_68 = e1 | all_10_73 = e0
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11439) gives:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11440) all_10_63 = e2
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (435), (11440) imply:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11441) all_4_13 = e2
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11441) implies:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11442) all_4_13 = e2
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (729), (11442) imply:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11443) ~ (all_4_7 = e2)
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (733), (11442) imply:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11444) ~ (all_4_8 = e2)
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (389) gives:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11445) all_12_2 = e2
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (11424), (11445) are inconsistent by
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #682.
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11446) all_12_3 = e2 | all_12_5 = e2 | all_12_10 = e2 |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_17 = e2
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11446) gives:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11447) all_12_3 = e2
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (482), (11447) imply:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11448) all_4_3 = e2
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11409), (11448) imply:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11449) $false
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11449) is inconsistent.
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11450) all_12_5 = e2 | all_12_10 = e2 | all_12_17 = e2
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11450) gives:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11451) all_12_5 = e2
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (11451) imply:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11452) all_4_7 = e2
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11452) implies:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11453) all_4_7 = e2
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11443), (11453) imply:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11454) $false
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11454) is inconsistent.
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11455) all_12_10 = e2 | all_12_17 = e2
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11455) gives:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11456) all_12_10 = e2
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (663), (11456) imply:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11457) all_4_12 = e2
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11457) implies:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11458) all_4_12 = e2
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (472), (11458) imply:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11459) all_10_66 = e2
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11189) gives:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11460) all_10_66 = e3
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11459), (11460) imply:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11461) e3 = e2
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (11461) imply:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11462) $false
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11462) is inconsistent.
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11463) all_10_67 = e2 | all_10_68 = e1 | all_10_69 = e0
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11209) gives:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11464) all_10_61 = e3
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (518), (11464) imply:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11465) all_4_7 = e3
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11465) implies:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11466) all_4_7 = e3
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (707), (11466) imply:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11467) ~ (all_4_3 = e3)
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11225) gives:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11468) all_10_56 = e3
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (514), (11468) imply:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11469) all_4_3 = e3
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11467), (11469) imply:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11470) $false
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11470) is inconsistent.
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11471) all_10_57 = e2 | all_10_58 = e1 | all_10_59 = e0
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11471) gives:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11472) all_10_57 = e2
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (523), (11472) imply:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11473) all_4_6 = e2
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11411), (11473) imply:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11474) $false
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11474) is inconsistent.
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11475) all_10_58 = e1 | all_10_59 = e0
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11475) gives:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11476) all_10_58 = e1
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11219), (11476) imply:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11477) e4 = e1
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (11477) imply:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11478) $false
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11478) is inconsistent.
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11479) all_10_59 = e0
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (420), (11479) imply:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11480) all_4_18 = e0
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (720), (11480) imply:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11481) ~ (all_4_22 = e0)
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11481) implies:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11482) ~ (all_4_22 = e0)
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (431), (560), (11179), (11436), (11463),
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11482) are inconsistent by sub-proof #395.
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11483) all_10_62 = e2 | all_10_63 = e1 | all_10_64 = e0
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11483) gives:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11484) all_10_62 = e2
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (455), (11444), (11484) are inconsistent by
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #365.
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11485) all_10_63 = e1 | all_10_64 = e0
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (435), (11212), (11435), (11485) are
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #323.
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11486) all_12_17 = e2
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9347), (11486) imply:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11487) e4 = e2
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11487) implies:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11488) e4 = e2
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13), (11488) imply:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11489) $false
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11489) is inconsistent.
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11490) all_10_68 = e1 | all_10_73 = e0
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (431), (562), (8424), (11431), (11436),
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11490) are inconsistent by sub-proof #264.
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11491) all_10_74 = e0
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (562), (8424), (11491) are inconsistent by
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #276.
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11492) ~ (all_12_6 = e2)
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (665), (11492) imply:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11493) ~ (all_4_4 = e2)
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (360) gives:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11494) all_12_20 = e2
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (11494) imply:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11495) all_4_16 = e2
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11495) implies:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11496) all_4_16 = e2
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (677), (11496) imply:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11497) ~ (all_4_1 = e2)
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (688), (11496) imply:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11498) ~ (all_4_9 = e2)
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (696), (11496) imply:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11499) ~ (all_4_24 = e2)
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11499) implies:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11500) ~ (all_4_24 = e2)
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (363) gives:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11501) all_12_16 = e1
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (11501) imply:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11502) all_4_17 = e1
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (759), (11502) imply:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11503) ~ (all_4_23 = e1)
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11503) implies:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11504) ~ (all_4_23 = e1)
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (760), (11502) imply:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11505) ~ (all_4_24 = e1)
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11505) implies:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11506) ~ (all_4_24 = e1)
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9367) gives:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11507) all_10_71 = e3
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (9346), (11507) are inconsistent by
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #281.
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11508) all_10_72 = e2 | all_10_73 = e1 | all_10_74 = e0
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9341) gives:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11509) all_8_24 = e3
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (612), (11509) imply:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11510) all_4_24 = e3
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11510) implies:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11511) all_4_24 = e3
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (562), (11511) imply:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11512) all_10_74 = e3
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (721), (11511) imply:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11513) ~ (all_4_18 = e3)
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (766), (11511) imply:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11514) ~ (all_4_23 = e3)
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (816), (11511) imply:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11515) op(e0, e3) = all_10_49
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11508) gives:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11516) all_10_72 = e2
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (448), (11516) imply:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11517) all_4_21 = e2
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11517) implies:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11518) all_4_21 = e2
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (764), (11518) imply:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11519) ~ (all_4_23 = e2)
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11519) implies:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11520) ~ (all_4_23 = e2)
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11143) gives:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11521) all_10_59 = e3
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (420), (11513), (11521) are inconsistent by
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #280.
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11522) all_10_64 = e2 | all_10_69 = e1 | all_10_74 = e0
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11522) gives:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11523) all_10_64 = e2
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (11212), (11523) are inconsistent by
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #195.
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11524) ~ (all_10_64 = e2)
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11525) all_10_69 = e1 | all_10_74 = e0
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9390) gives:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11526) all_8_19 = e3
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (551), (11514), (11526) are inconsistent by
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #668.
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11527) ~ (all_8_19 = e3)
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11528) all_8_19 = e2 | all_8_19 = e1 | all_8_19 = e0
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11528) gives:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11529) all_8_19 = e2
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (551), (11520), (11529) are inconsistent by
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #164.
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11530) ~ (all_8_19 = e2)
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11531) all_8_19 = e1 | all_8_19 = e0
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11531) gives:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11532) all_8_19 = e1
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (551), (11504), (11532) are inconsistent by
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #163.
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11533) all_8_19 = e0
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (551), (11533) imply:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11534) all_4_23 = e0
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11534) implies:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11535) all_4_23 = e0
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (692), (11535) imply:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11536) ~ (all_4_9 = e0)
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9356), (11535) imply:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11537) ~ (e4 = e0)
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11514), (11535) imply:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11538) ~ (e3 = e0)
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11520), (11535) imply:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11539) ~ (e2 = e0)
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11504), (11535) imply:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11540) ~ (e1 = e0)
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11525) gives:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11541) all_10_69 = e1
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (560), (11541) imply:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11542) all_4_22 = e1
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11542) implies:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11543) all_4_22 = e1
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (414), (11543) imply:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11544) all_12_23 = e1
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (745), (11543) imply:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11545) ~ (all_4_10 = e1)
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (754), (11543) imply:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11546) ~ (all_4_15 = e1)
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (720), (11543) imply:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11547) ~ (all_4_18 = e1)
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8422) gives:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11548) all_12_20 = e0
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11494), (11548) are inconsistent by
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #259.
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11549) all_12_21 = e0 | all_12_22 = e0 | all_12_23 = e0
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11549) gives:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11550) all_12_21 = e0
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (656), (11550) imply:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11551) all_4_18 = e0
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11551) implies:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11552) all_4_18 = e0
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (706), (11552) imply:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11553) ~ (all_4_3 = e0)
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (711), (11552) imply:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11554) ~ (all_4_6 = e0)
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (776), (11552) imply:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11555) op(e0, e3) = all_10_21
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (11552) imply:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11556) op(e0, e3) = e0
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11189) gives:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11557) all_10_66 = e3
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (472), (11557) imply:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11558) all_4_12 = e3
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11558) implies:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11559) all_4_12 = e3
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (680), (11559) imply:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11560) ~ (all_4_1 = e3)
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (708), (11559) imply:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11561) ~ (all_4_3 = e3)
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (742), (11559) imply:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11562) ~ (all_4_10 = e3)
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (372) gives:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11563) all_12_9 = e0
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (11563) imply:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11564) all_4_10 = e0
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (11564) imply:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11565) ~ (all_4_15 = e0)
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11565) implies:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11566) ~ (all_4_15 = e0)
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (56), (11564) imply:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11567) op(e0, all_4_9) = e1
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9384) gives:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11568) all_8_6 = e3
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (576), (11561), (11568) are inconsistent by
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #223.
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11569) all_8_6 = e2 | all_8_6 = e1 | all_8_6 = e0
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11569) gives:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11570) all_8_6 = e2
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (576), (11409), (11570) are inconsistent by
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #222.
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11571) all_8_6 = e1 | all_8_6 = e0
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11571) gives:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11572) all_8_6 = e1
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (576), (11572) imply:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11573) all_4_3 = e1
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11573) implies:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11574) all_4_3 = e1
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (704), (11574) imply:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11575) ~ (all_4_6 = e1)
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11575) implies:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11576) ~ (all_4_6 = e1)
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10797) gives:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11577) all_8_11 = e3
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (578), (11577) imply:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11578) all_4_6 = e3
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11578) implies:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11579) all_4_6 = e3
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (11579) imply:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11580) ~ (all_4_4 = e3)
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (370) gives:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11581) all_12_12 = e3
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (11581) imply:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11582) all_4_9 = e3
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11582) implies:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11583) all_4_9 = e3
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (691), (11583) imply:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11584) ~ (all_4_15 = e3)
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11584) implies:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11585) ~ (all_4_15 = e3)
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11567), (11583) imply:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11586) op(e0, e3) = e1
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11198) gives:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11587) all_8_18 = e3
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (600), (11585), (11587) are inconsistent by
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #162.
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11588) all_8_18 = e2 | all_8_18 = e1 | all_8_18 = e0
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11588) gives:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_49,
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_21, e3, e0, simplifying with (11515),
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11555) gives:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11589) all_10_21 = all_10_49
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_21, e3, e0, simplifying with (11555),
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11586) gives:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11590) all_10_21 = e1
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_21, e3, e0, simplifying with (11555),
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11556) gives:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11591) all_10_21 = e0
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11589), (11591) imply:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11592) all_10_49 = e0
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11589), (11590) imply:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11593) all_10_49 = e1
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (562), (8424), (11525), (11541), (11592),
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11593) are inconsistent by sub-proof #161.
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11594) all_8_18 = e1 | all_8_18 = e0
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (600), (11546), (11566), (11594) are inconsistent
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #173.
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11595) ~ (all_12_12 = e3)
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (446), (11595) imply:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11596) ~ (all_4_9 = e3)
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11151) gives:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11597) all_8_15 = e3
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (570), (11596), (11597) are inconsistent by
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #732.
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11598) all_8_15 = e2 | all_8_15 = e1 | all_8_15 = e0
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (378) gives:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11599) all_12_6 = e1
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (11599) imply:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11600) all_4_4 = e1
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11600) implies:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11601) all_4_4 = e1
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (682), (11601) imply:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11602) ~ (all_4_9 = e1)
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11602) implies:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11603) ~ (all_4_9 = e1)
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (570), (11498), (11536), (11598), (11603) are
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #728.
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11604) ~ (all_12_6 = e1)
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (665), (11604) imply:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11605) ~ (all_4_4 = e1)
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (566), (568), (675), (9381), (11148), (11395),
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11493), (11497), (11560), (11580), (11605) are
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #411.
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11606) all_8_11 = e2 | all_8_11 = e1 | all_8_11 = e0
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (578), (11411), (11554), (11576), (11606) are
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #555.
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11607) all_8_6 = e0
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (576), (11553), (11607) are inconsistent by
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #221.
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11608) ~ (all_12_9 = e0)
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (494), (11608) imply:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11609) ~ (all_4_10 = e0)
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (594), (11153), (11413), (11545), (11562), (11609)
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #734.
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11610) all_10_67 = e2 | all_10_68 = e1 | all_10_69 = e0
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11610) gives:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11611) all_10_67 = e2
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (11179), (11611) are inconsistent by
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #493.
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11612) all_10_68 = e1 | all_10_69 = e0
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (431), (562), (8424), (11525), (11546),
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11612) are inconsistent by sub-proof #179.
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11613) all_12_22 = e0 | all_12_23 = e0
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11), (562), (8424), (11213), (11525),
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11541), (11544), (11613) are inconsistent by
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #159.
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11614) all_10_74 = e0
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11512), (11614) are inconsistent by
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #158.
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11615) all_10_73 = e1 | all_10_74 = e0
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (562), (654), (8424), (11504), (11615) are
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #271.
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11616) all_8_24 = e2 | all_8_24 = e1 | all_8_24 = e0
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (612), (8424), (11500), (11506), (11616) are
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #272.
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11617) ~ (all_12_16 = e1)
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (659), (11617) imply:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11618) ~ (all_4_17 = e1)
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (390) gives:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11619) all_12_2 = e3
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (11619) imply:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11620) all_4_1 = e3
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (678), (11620) imply:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11621) ~ (all_4_3 = e3)
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11621) implies:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11622) ~ (all_4_3 = e3)
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (680), (11620) imply:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11623) ~ (all_4_12 = e3)
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11623) implies:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11624) ~ (all_4_12 = e3)
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12), (13), (420), (431), (472), (514),
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (523), (560), (562), (720), (721), (754), (11143),
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11179), (11189), (11212), (11219), (11225),
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11411), (11622), (11624) are inconsistent by
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #178.
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11625) ~ (all_12_2 = e3)
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (486), (11625) imply:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11626) ~ (all_4_1 = e3)
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9381) gives:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11627) all_8_5 = e3
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (566), (11626), (11627) are inconsistent by
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #764.
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11628) ~ (all_8_5 = e3)
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11629) all_8_5 = e2 | all_8_5 = e1 | all_8_5 = e0
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11629) gives:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11630) all_8_5 = e2
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (566), (11497), (11630) are inconsistent by
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #763.
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11631) all_8_5 = e1 | all_8_5 = e0
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11631) gives:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11632) all_8_5 = e1
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (566), (11395), (11632) are inconsistent by
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #762.
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11633) all_8_5 = e0
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (566), (11633) imply:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11634) all_4_1 = e0
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11634) implies:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11635) all_4_1 = e0
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (675), (11635) imply:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11636) ~ (all_4_4 = e0)
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11636) implies:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11637) ~ (all_4_4 = e0)
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11626), (11635) imply:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11638) ~ (e3 = e0)
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11416), (11635) imply:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11639) op(e2, e0) = e3
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_21, e3,
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e2, simplifying with (27), (11639) gives:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11640) all_4_21 = e3
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (687), (11640) imply:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11641) ~ (all_4_4 = e3)
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11148) gives:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11642) all_8_10 = e3
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (568), (11641), (11642) are inconsistent by
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #661.
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11643) all_8_10 = e2 | all_8_10 = e1 | all_8_10 = e0
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11643) gives:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11644) all_8_10 = e2
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (568), (11493), (11644) are inconsistent by
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #660.
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11645) ~ (all_8_10 = e2)
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11646) all_8_10 = e1 | all_8_10 = e0
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11646) gives:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11647) all_8_10 = e1
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (568), (11647) imply:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11648) all_4_4 = e1
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11648) implies:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11649) all_4_4 = e1
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11493), (11649) imply:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11650) ~ (e2 = e1)
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (11649) imply:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11651) op(e1, all_4_5) = e4
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (13), (23), (383), (420), (494), (498),
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (514), (523), (560), (562), (659), (706), (745),
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8424), (11125), (11143), (11181), (11212),
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11219), (11225), (11406), (11411), (11420),
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11618), (11651), (function-axioms) are
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #156.
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11652) all_8_10 = e0
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (568), (11637), (11652) are inconsistent by
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #718.
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11653) ~ (all_12_20 = e2)
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (657), (11653) imply:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11654) ~ (all_4_16 = e2)
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (401) gives:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11655) all_12_0 = e2
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11115), (11655) imply:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11656) e4 = e2
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13), (11656) imply:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11657) $false
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11657) is inconsistent.
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11658) all_12_2 = e2 | all_12_6 = e2 | all_12_12 = e2 |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_20 = e2
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (389) gives:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11659) all_12_2 = e2
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (11659) imply:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11660) all_4_1 = e2
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11415), (11660) imply:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11661) op(e2, e2) = e4
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11416), (11660) imply:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11662) op(e2, e2) = e3
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (29), (11661), (11662), (function-axioms)
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #155.
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11663) ~ (all_12_2 = e2)
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (486), (11663) imply:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11664) ~ (all_4_1 = e2)
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11658) gives:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11665) all_12_2 = e2
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (11665) imply:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11666) all_4_1 = e2
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11664), (11666) imply:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11667) $false
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11667) is inconsistent.
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11668) all_12_6 = e2 | all_12_12 = e2 | all_12_20 = e2
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11668) gives:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11669) all_12_6 = e2
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (11669) imply:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11670) all_4_4 = e2
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11493), (11670) imply:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11671) $false
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11671) is inconsistent.
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11672) all_12_12 = e2 | all_12_20 = e2
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11672) gives:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11673) all_12_12 = e2
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (11673) imply:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11674) all_4_9 = e2
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (688), (11674) imply:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11675) ~ (all_4_16 = e2)
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (378) gives:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11676) all_12_6 = e1
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (11676) imply:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11677) all_4_4 = e1
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (683), (11677) imply:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11678) ~ (all_4_16 = e1)
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11678) implies:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11679) ~ (all_4_16 = e1)
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11493), (11677) imply:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11680) ~ (e2 = e1)
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (11677) imply:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11681) op(e1, all_4_5) = e4
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (363) gives:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11682) all_12_16 = e1
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (11682) imply:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11683) all_4_17 = e1
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (759), (11683) imply:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11684) ~ (all_4_23 = e1)
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11684) implies:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11685) ~ (all_4_23 = e1)
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (760), (11683) imply:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11686) ~ (all_4_24 = e1)
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11686) implies:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11687) ~ (all_4_24 = e1)
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (50), (11683) imply:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11688) op(all_4_16, e1) = e4
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9367) gives:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11689) all_10_71 = e3
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (9346), (11689) are inconsistent by
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #281.
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11690) all_10_72 = e2 | all_10_73 = e1 | all_10_74 = e0
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11690) gives:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11691) all_10_72 = e2
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (448), (11691) imply:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11692) all_4_21 = e2
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11692) implies:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11693) all_4_21 = e2
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (765), (11693) imply:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11694) ~ (all_4_24 = e2)
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11694) implies:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11695) ~ (all_4_24 = e2)
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9341) gives:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11696) all_8_24 = e3
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (612), (11696) imply:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11697) all_4_24 = e3
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11697) implies:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11698) all_4_24 = e3
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (696), (11698) imply:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11699) ~ (all_4_16 = e3)
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (572), (11155), (11183), (11654), (11679),
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11688), (11699), (function-axioms) are
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #166.
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11700) all_8_24 = e2 | all_8_24 = e1 | all_8_24 = e0
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (612), (8424), (11687), (11695), (11700) are
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #272.
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11701) all_10_73 = e1 | all_10_74 = e0
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (562), (654), (8424), (11685), (11701) are
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #271.
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11702) ~ (all_12_16 = e1)
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (659), (11702) imply:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11703) ~ (all_4_17 = e1)
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (13), (23), (383), (420), (494), (498),
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (514), (523), (560), (562), (659), (706), (745),
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8424), (11125), (11143), (11181), (11212),
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11219), (11225), (11406), (11411), (11420),
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11681), (11703), (function-axioms) are
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #156.
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11704) ~ (all_12_6 = e1)
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (665), (11704) imply:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11705) ~ (all_4_4 = e1)
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11400) gives:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11706) all_12_2 = e1
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (11706) imply:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11707) all_4_1 = e1
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11395), (11707) imply:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11708) $false
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11708) is inconsistent.
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11709) all_12_6 = e1 | all_12_12 = e1 | all_12_20 = e1
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11709) gives:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11710) all_12_6 = e1
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (11710) imply:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11711) all_4_4 = e1
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11705), (11711) imply:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11712) $false
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11712) is inconsistent.
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11713) all_12_12 = e1 | all_12_20 = e1
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11713) gives:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11714) all_12_12 = e1
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11673), (11714) imply:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11715) e2 = e1
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (11715) imply:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11716) $false
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11716) is inconsistent.
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11717) all_12_20 = e1
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (11717) imply:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11718) all_4_16 = e1
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (695), (11718) imply:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11719) ~ (all_4_22 = e1)
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11719) implies:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11720) ~ (all_4_22 = e1)
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11127), (11718) imply:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11721) ~ (e4 = e1)
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12), (13), (420), (514), (523), (560),
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (562), (706), (8424), (11143), (11212), (11219),
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11225), (11411), (11720) are inconsistent by
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #157.
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11722) all_12_20 = e2
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (11722) imply:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11723) all_4_16 = e2
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11654), (11723) imply:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11724) $false
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11724) is inconsistent.
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11725) ~ (all_12_1 = e2)
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11726) all_12_3 = e2 | all_12_7 = e2 | all_12_13 = e2 |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_21 = e2
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (666), (11725) imply:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11727) ~ (all_4_2 = e2)
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (402) gives:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11728) all_12_0 = e2
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11115), (11728) imply:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11729) e4 = e2
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13), (11729) imply:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11730) $false
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11730) is inconsistent.
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11731) ~ (all_12_0 = e2)
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11732) all_12_1 = e2 | all_12_4 = e2 | all_12_9 = e2 |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_16 = e2
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (401) gives:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11733) all_12_0 = e2
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11115), (11733) imply:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11734) e4 = e2
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13), (11734) imply:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11735) $false
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11735) is inconsistent.
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11736) all_12_2 = e2 | all_12_6 = e2 | all_12_12 = e2 |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_20 = e2
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (365) gives:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11737) all_12_16 = e3
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (11737) imply:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11738) all_4_17 = e3
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (703), (11738) imply:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11739) ~ (all_4_2 = e3)
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (727), (11738) imply:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11740) ~ (all_4_5 = e3)
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (746), (11738) imply:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11741) ~ (all_4_10 = e3)
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (760), (11738) imply:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11742) ~ (all_4_24 = e3)
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11742) implies:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11743) ~ (all_4_24 = e3)
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (50), (11738) imply:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11744) op(all_4_16, e3) = e4
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (400) gives:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11745) all_12_0 = e1
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11115), (11745) imply:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11746) e4 = e1
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (11746) imply:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11747) $false
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11747) is inconsistent.
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11748) all_12_1 = e1 | all_12_4 = e1 | all_12_9 = e1 |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_16 = e1
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (380) gives:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11749) all_12_6 = e3
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (11749) imply:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11750) all_4_4 = e3
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11750) implies:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11751) all_4_4 = e3
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (675), (11751) imply:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11752) ~ (all_4_1 = e3)
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11119), (11751) imply:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11753) ~ (e4 = e3)
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (393) gives:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11754) all_12_1 = e1
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (11754) imply:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11755) all_4_2 = e1
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (702), (11755) imply:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11756) ~ (all_4_10 = e1)
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11756) implies:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11757) ~ (all_4_10 = e1)
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11739), (11755) imply:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11758) ~ (e3 = e1)
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (793), (11755) imply:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11759) op(e4, e1) = all_10_26
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_10,
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_26, e1, e4, simplifying with (38), (11759)
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11760) all_10_26 = all_4_10
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (359) gives:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11761) all_12_20 = e1
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (11761) imply:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11762) all_4_16 = e1
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11762) implies:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11763) all_4_16 = e1
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (695), (11763) imply:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11764) ~ (all_4_22 = e1)
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11764) implies:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11765) ~ (all_4_22 = e1)
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (696), (11763) imply:
% 179.94/27.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11766) ~ (all_4_24 = e1)
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11766) implies:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11767) ~ (all_4_24 = e1)
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9341) gives:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11768) all_8_24 = e3
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (612), (11743), (11768) are inconsistent by
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #267.
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11769) all_8_24 = e2 | all_8_24 = e1 | all_8_24 = e0
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11143) gives:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11770) all_10_59 = e3
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (420), (11770) imply:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11771) all_4_18 = e3
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11771) implies:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11772) all_4_18 = e3
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (720), (11772) imply:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11773) ~ (all_4_22 = e3)
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11773) implies:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11774) ~ (all_4_22 = e3)
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11769) gives:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11775) all_8_24 = e2
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (612), (11775) imply:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11776) all_4_24 = e2
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11776) implies:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11777) all_4_24 = e2
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (562), (11777) imply:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11778) all_10_74 = e2
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (765), (11777) imply:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11779) ~ (all_4_21 = e2)
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (756), (11777) imply:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11780) ~ (all_4_22 = e2)
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11203) gives:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11781) all_8_23 = e3
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (602), (11774), (11781) are inconsistent by
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #458.
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11782) all_8_23 = e2 | all_8_23 = e1 | all_8_23 = e0
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9367) gives:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11783) all_10_71 = e3
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (9346), (11783) are inconsistent by
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #281.
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11784) all_10_72 = e2 | all_10_73 = e1 | all_10_74 = e0
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11784) gives:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11785) all_10_72 = e2
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (448), (11779), (11785) are inconsistent by
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #266.
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11786) all_10_73 = e1 | all_10_74 = e0
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11782) gives:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11787) all_8_23 = e2
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (602), (11787) imply:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11788) all_4_22 = e2
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11780), (11788) imply:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11789) $false
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11789) is inconsistent.
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11790) all_8_23 = e1 | all_8_23 = e0
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11790) gives:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11791) all_8_23 = e1
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (602), (11791) imply:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11792) all_4_22 = e1
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11765), (11792) imply:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11793) $false
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11793) is inconsistent.
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11794) all_8_23 = e0
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (602), (11794) imply:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11795) all_4_22 = e0
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (745), (11795) imply:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11796) ~ (all_4_10 = e0)
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (749), (11795) imply:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11797) ~ (all_4_12 = e0)
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (754), (11795) imply:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11798) ~ (all_4_15 = e0)
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11153) gives:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11799) all_8_3 = e3
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (594), (11741), (11799) are inconsistent by
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #735.
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11800) ~ (all_8_3 = e3)
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11801) all_8_3 = e2 | all_8_3 = e1 | all_8_3 = e0
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11801) gives:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11802) all_8_3 = e2
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (594), (11802) imply:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11803) all_4_10 = e2
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11803) implies:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11804) all_4_10 = e2
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (742), (11804) imply:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11805) ~ (all_4_12 = e2)
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11805) implies:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11806) ~ (all_4_12 = e2)
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (11804) imply:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11807) ~ (all_4_15 = e2)
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11807) implies:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11808) ~ (all_4_15 = e2)
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11786) gives:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11809) all_10_73 = e1
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (654), (11809) imply:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11810) all_4_23 = e1
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11810) implies:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11811) all_4_23 = e1
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (755), (11811) imply:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11812) ~ (all_4_15 = e1)
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11198) gives:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11813) all_8_18 = e3
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (600), (11813) imply:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11814) all_4_15 = e3
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11814) implies:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11815) all_4_15 = e3
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (11815) imply:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11816) ~ (all_4_12 = e3)
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (595), (9375), (11222), (11741), (11797),
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11806), (11816), (function-axioms) are
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #518.
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11817) all_8_18 = e2 | all_8_18 = e1 | all_8_18 = e0
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (600), (11798), (11808), (11812), (11817) are
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #172.
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11818) all_10_74 = e0
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11778), (11818) are inconsistent by
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #262.
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11819) all_8_3 = e1 | all_8_3 = e0
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (594), (11757), (11796), (11819) are inconsistent
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #741.
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11820) all_8_24 = e1 | all_8_24 = e0
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (612), (8424), (11767), (11820) are inconsistent
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #273.
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11821) all_10_64 = e2 | all_10_69 = e1 | all_10_74 = e0
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (560), (562), (8424), (11212), (11765),
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11821) are inconsistent by sub-proof #168.
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11822) ~ (all_12_20 = e1)
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (657), (11822) imply:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11823) ~ (all_4_16 = e1)
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11400) gives:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11824) all_12_2 = e1
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (11824) imply:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11825) all_4_1 = e1
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11395), (11825) imply:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11826) $false
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11826) is inconsistent.
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11827) all_12_6 = e1 | all_12_12 = e1 | all_12_20 = e1
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11827) gives:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11828) all_12_6 = e1
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11749), (11828) are inconsistent by
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #154.
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11829) all_12_12 = e1 | all_12_20 = e1
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11829) gives:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11830) all_12_12 = e1
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (11830) imply:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11831) all_4_9 = e1
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11831) implies:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11832) all_4_9 = e1
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (690), (11832) imply:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11833) ~ (all_4_13 = e1)
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11833) implies:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11834) ~ (all_4_13 = e1)
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (692), (11832) imply:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11835) ~ (all_4_23 = e1)
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11835) implies:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11836) ~ (all_4_23 = e1)
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11123), (11832) imply:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11837) ~ (e4 = e1)
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9367) gives:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11838) all_10_71 = e3
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (9346), (11838) are inconsistent by
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #281.
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11839) all_10_72 = e2 | all_10_73 = e1 | all_10_74 = e0
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11839) gives:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11840) all_10_72 = e2
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (448), (11840) imply:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11841) all_4_21 = e2
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11841) implies:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11842) all_4_21 = e2
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (11842) imply:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11843) ~ (all_4_6 = e2)
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (736), (11842) imply:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11844) ~ (all_4_8 = e2)
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9354), (11842) imply:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11845) ~ (e4 = e2)
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (12), (13), (420), (431), (435), (455),
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (472), (514), (518), (523), (560), (562), (707),
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (720), (721), (731), (754), (11143), (11179),
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11189), (11209), (11212), (11219), (11225),
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11834), (11843), (11844) are inconsistent by
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #176.
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11846) all_10_73 = e1 | all_10_74 = e0
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (562), (654), (8424), (11836), (11846) are
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #271.
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11847) all_12_20 = e1
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (657), (11823), (11847) are inconsistent by
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #250.
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11848) ~ (all_12_1 = e1)
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (666), (11848) imply:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11849) ~ (all_4_2 = e1)
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11114) gives:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11850) all_8_1 = e3
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (574), (11739), (11850) are inconsistent by
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #747.
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11851) all_8_1 = e2 | all_8_1 = e1 | all_8_1 = e0
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11851) gives:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11852) all_8_1 = e2
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (574), (11727), (11852) are inconsistent by
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #746.
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11853) all_8_1 = e1 | all_8_1 = e0
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11853) gives:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11854) all_8_1 = e1
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (574), (11849), (11854) are inconsistent by
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #745.
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11855) all_8_1 = e0
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (574), (11855) imply:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11856) all_4_2 = e0
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11856) implies:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11857) all_4_2 = e0
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (65), (11857) imply:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11858) op(all_4_1, e0) = e4
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (387) gives:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11859) all_12_2 = e0
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (11859) imply:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11860) all_4_1 = e0
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11858), (11860) imply:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11861) op(e0, e0) = e4
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (9342), (11861), (function-axioms) are
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #186.
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11862) ~ (all_12_2 = e0)
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (486), (11862) imply:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11863) ~ (all_4_1 = e0)
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9381) gives:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11864) all_8_5 = e3
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (566), (11752), (11864) are inconsistent by
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #764.
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11865) all_8_5 = e2 | all_8_5 = e1 | all_8_5 = e0
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11865) gives:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11866) all_8_5 = e2
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (566), (11866) imply:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11867) all_4_1 = e2
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11867) implies:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11868) all_4_1 = e2
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11858), (11868) imply:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11869) op(e2, e0) = e4
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (27), (9354), (11869), (function-axioms) are
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #153.
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11870) all_8_5 = e1 | all_8_5 = e0
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (566), (11395), (11863), (11870) are inconsistent
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #658.
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11871) ~ (all_12_6 = e3)
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (665), (11871) imply:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11872) ~ (all_4_4 = e3)
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (361) gives:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11873) all_12_20 = e3
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (657), (9349), (11744), (11873),
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #240.
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11874) ~ (all_12_20 = e3)
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (657), (11874) imply:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11875) ~ (all_4_16 = e3)
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (370) gives:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11876) all_12_12 = e3
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (11876) imply:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11877) all_4_9 = e3
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11877) implies:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11878) all_4_9 = e3
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (11878) imply:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11879) op(e3, all_4_10) = e4
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (56), (11878) imply:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11880) op(all_4_10, e3) = e1
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (383) gives:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11881) all_12_4 = e1
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (11881) imply:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11882) all_4_5 = e1
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11732) gives:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11883) all_12_1 = e2
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (11883) imply:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11884) all_4_2 = e2
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11727), (11884) imply:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11885) $false
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11885) is inconsistent.
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11886) all_12_4 = e2 | all_12_9 = e2 | all_12_16 = e2
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11886) gives:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11887) all_12_4 = e2
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11881), (11887) are inconsistent by
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #152.
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11888) all_12_9 = e2 | all_12_16 = e2
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (34), (494), (9350), (11737), (11879),
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11888), (function-axioms) are inconsistent by
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #151.
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11889) ~ (all_12_4 = e1)
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (498), (11889) imply:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11890) ~ (all_4_5 = e1)
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (382) gives:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11891) all_12_4 = e0
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (11891) imply:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11892) all_4_5 = e0
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11732) gives:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11893) all_12_1 = e2
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (11893) imply:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11894) all_4_2 = e2
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11727), (11894) imply:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11895) $false
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11895) is inconsistent.
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11896) all_12_4 = e2 | all_12_9 = e2 | all_12_16 = e2
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11896) gives:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11897) all_12_4 = e2
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11891), (11897) are inconsistent by
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #150.
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11898) all_12_9 = e2 | all_12_16 = e2
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (34), (494), (9350), (11737), (11879),
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11898), (function-axioms) are inconsistent by
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #151.
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11899) ~ (all_12_4 = e0)
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (498), (11899) imply:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11900) ~ (all_4_5 = e0)
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (33), (373), (494), (574), (583), (594),
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (666), (700), (701), (702), (726), (9351),
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11114), (11146), (11153), (11739), (11740),
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11741), (11748), (11879), (11880), (11890),
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11900), (function-axioms) are inconsistent by
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #256.
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11901) ~ (all_12_12 = e3)
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (446), (11901) imply:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11902) ~ (all_4_9 = e3)
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11405) gives:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11903) all_12_2 = e3
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (11903) imply:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11904) all_4_1 = e3
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11904) implies:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11905) all_4_1 = e3
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (678), (11905) imply:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11906) ~ (all_4_3 = e3)
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11906) implies:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11907) ~ (all_4_3 = e3)
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (679), (11905) imply:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11908) ~ (all_4_7 = e3)
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11908) implies:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11909) ~ (all_4_7 = e3)
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (676), (11905) imply:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11910) ~ (all_4_9 = e3)
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9348), (11905) imply:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11911) ~ (e4 = e3)
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (65), (11905) imply:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11912) op(e3, all_4_2) = e4
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (389) gives:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11913) all_12_2 = e2
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11903), (11913) imply:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11914) e3 = e2
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (11914) imply:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11915) $false
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11915) is inconsistent.
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11916) ~ (all_12_2 = e2)
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11917) all_12_3 = e2 | all_12_5 = e2 | all_12_10 = e2 |
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_17 = e2
% 179.94/27.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (398) gives:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11918) all_12_0 = e0
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11115), (11918) imply:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11919) e4 = e0
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (11919) imply:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11920) $false
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11920) is inconsistent.
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11921) ~ (all_12_0 = e0)
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11922) all_12_1 = e0 | all_12_4 = e0 | all_12_9 = e0 |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_16 = e0
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (360) gives:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11923) all_12_20 = e2
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (11923) imply:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11924) all_4_16 = e2
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11744), (11924) imply:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11925) op(e2, e3) = e4
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (10798), (11925), (function-axioms) are
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #503.
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11926) ~ (all_12_20 = e2)
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (657), (11926) imply:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11927) ~ (all_4_16 = e2)
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (379) gives:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11928) all_12_6 = e2
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (11928) imply:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11929) all_4_4 = e2
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (11929) imply:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11930) ~ (all_4_8 = e2)
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11930) implies:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11931) ~ (all_4_8 = e2)
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (687), (11929) imply:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11932) ~ (all_4_21 = e2)
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (14), (435), (448), (455), (518), (562),
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (654), (739), (8424), (9346), (9367), (11209),
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11212), (11909), (11931), (11932) are
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #149.
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11933) ~ (all_12_6 = e2)
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (665), (11933) imply:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11934) ~ (all_4_4 = e2)
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11736) gives:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11935) all_12_2 = e2
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11903), (11935) imply:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11936) e3 = e2
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (11936) imply:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11937) $false
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11937) is inconsistent.
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11938) all_12_6 = e2 | all_12_12 = e2 | all_12_20 = e2
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11938) gives:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11939) all_12_6 = e2
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (11939) imply:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11940) all_4_4 = e2
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11934), (11940) imply:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11941) $false
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11941) is inconsistent.
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11942) all_12_12 = e2 | all_12_20 = e2
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11942) gives:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11943) all_12_12 = e2
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (11943) imply:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11944) all_4_9 = e2
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11902), (11944) imply:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11945) ~ (e3 = e2)
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (11944) imply:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11946) op(e2, all_4_10) = e4
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (384) gives:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11947) all_12_4 = e2
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (11947) imply:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11948) all_4_5 = e2
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (722), (11948) imply:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11949) ~ (all_4_7 = e2)
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11949) implies:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11950) ~ (all_4_7 = e2)
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (33), (420), (472), (482), (514),
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (518), (523), (560), (562), (574), (576), (666),
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (697), (704), (706), (708), (749), (8424), (9346),
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9349), (9351), (9370), (9384), (11111), (11114),
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11143), (11212), (11219), (11225), (11727),
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11739), (11748), (11907), (11912), (11917),
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11922), (11950), (function-axioms) are
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #147.
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11951) ~ (all_12_4 = e2)
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (498), (11951) imply:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11952) ~ (all_4_5 = e2)
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11732) gives:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11953) all_12_1 = e2
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (11953) imply:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11954) all_4_2 = e2
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11727), (11954) imply:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11955) $false
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11955) is inconsistent.
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11956) all_12_4 = e2 | all_12_9 = e2 | all_12_16 = e2
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11956) gives:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11957) all_12_4 = e2
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (11957) imply:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11958) all_4_5 = e2
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11952), (11958) imply:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11959) $false
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11959) is inconsistent.
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11960) all_12_9 = e2 | all_12_16 = e2
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (29), (494), (11167), (11737), (11946),
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11960), (function-axioms) are inconsistent by
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #242.
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11961) all_12_20 = e2
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (11961) imply:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11962) all_4_16 = e2
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11927), (11962) imply:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11963) $false
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11963) is inconsistent.
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11964) all_12_6 = e3 | all_12_12 = e3 | all_12_20 = e3
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (657), (665), (11872), (11875), (11902),
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11964) are inconsistent by sub-proof #229.
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11965) ~ (all_12_16 = e3)
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (659), (11965) imply:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11966) ~ (all_4_17 = e3)
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (404) gives:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11967) all_12_0 = e3
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11115), (11967) imply:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11968) e4 = e3
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (11968) imply:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11969) $false
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11969) is inconsistent.
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11970) all_12_1 = e3 | all_12_4 = e3 | all_12_9 = e3 |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_16 = e3
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (400) gives:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11971) all_12_0 = e1
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11115), (11971) imply:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11972) e4 = e1
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (11972) imply:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11973) $false
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11973) is inconsistent.
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11974) all_12_1 = e1 | all_12_4 = e1 | all_12_9 = e1 |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_16 = e1
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (373) gives:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11975) all_12_9 = e1
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (11975) imply:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11976) all_4_10 = e1
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11976) implies:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11977) all_4_10 = e1
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (742), (11977) imply:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11978) ~ (all_4_12 = e1)
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11978) implies:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11979) ~ (all_4_12 = e1)
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (11977) imply:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11980) ~ (all_4_15 = e1)
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11980) implies:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11981) ~ (all_4_15 = e1)
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (745), (11977) imply:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11982) ~ (all_4_22 = e1)
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11982) implies:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11983) ~ (all_4_22 = e1)
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11125), (11977) imply:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11984) ~ (e4 = e1)
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (12), (13), (420), (431), (435), (448),
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (455), (472), (514), (518), (523), (560), (562),
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (654), (706), (711), (728), (729), (764), (8424),
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9346), (9370), (11143), (11179), (11194),
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11207), (11212), (11215), (11219), (11979),
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11981), (11983) are inconsistent by sub-proof
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #167.
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11985) ~ (all_12_9 = e1)
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (494), (11985) imply:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11986) ~ (all_4_10 = e1)
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (364) gives:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11987) all_12_16 = e2
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (11987) imply:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11988) all_4_17 = e2
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11988) implies:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11989) all_4_17 = e2
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (746), (11989) imply:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11990) ~ (all_4_10 = e2)
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (758), (11989) imply:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11991) ~ (all_4_21 = e2)
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11991) implies:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11992) ~ (all_4_21 = e2)
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11), (14), (431), (435), (448), (455),
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (472), (518), (560), (562), (594), (600), (654),
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (731), (733), (738), (739), (744), (745), (754),
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (755), (8424), (9346), (9367), (11153), (11179),
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11189), (11198), (11207), (11209), (11212),
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11214), (11219), (11986), (11990), (11992) are
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #171.
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11993) ~ (all_12_16 = e2)
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (659), (11993) imply:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11994) ~ (all_4_17 = e2)
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (389) gives:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11995) all_12_2 = e2
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (11995) imply:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11996) all_4_1 = e2
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11996) implies:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11997) all_4_1 = e2
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (678), (11997) imply:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11998) ~ (all_4_3 = e2)
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11998) implies:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11999) ~ (all_4_3 = e2)
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (679), (11997) imply:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12000) ~ (all_4_7 = e2)
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12000) implies:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12001) ~ (all_4_7 = e2)
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (797), (11997) imply:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12002) op(e3, e2) = all_10_30
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_7,
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_30, e2, e3, simplifying with (34), (12002)
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12003) all_10_30 = all_4_7
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (374) gives:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12004) all_12_9 = e2
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (12004) imply:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12005) all_4_10 = e2
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (726), (12005) imply:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12006) ~ (all_4_5 = e2)
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11125), (12005) imply:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12007) ~ (e4 = e2)
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (12005) imply:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12008) op(all_4_9, e2) = e4
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (385) gives:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12009) all_12_4 = e3
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (12009) imply:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12010) all_4_5 = e3
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (722), (12010) imply:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12011) ~ (all_4_7 = e3)
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12011) implies:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12012) ~ (all_4_7 = e3)
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (12010) imply:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12013) op(all_4_4, e3) = e4
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (777), (12010) imply:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12014) op(e3, e2) = all_10_2
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_7,
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_2, e2, e3, simplifying with (34), (12014)
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 179.94/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12015) all_10_2 = all_4_7
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (380) gives:
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12016) all_12_6 = e3
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (12016) imply:
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12017) all_4_4 = e3
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12013), (12017) imply:
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12018) op(e3, e3) = e4
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (9349), (12018), (function-axioms) are
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #704.
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12019) ~ (all_12_6 = e3)
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (665), (12019) imply:
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12020) ~ (all_4_4 = e3)
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (370) gives:
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12021) all_12_12 = e3
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (12021) imply:
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12022) all_4_9 = e3
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12008), (12022) imply:
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12023) op(e3, e2) = e4
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_7, e4,
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (34), (12023) gives:
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12024) all_4_7 = e4
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9350), (12024) imply:
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12025) $false
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12025) is inconsistent.
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12026) ~ (all_12_12 = e3)
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (446), (12026) imply:
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12027) ~ (all_4_9 = e3)
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11405) gives:
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12028) all_12_2 = e3
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (11995), (12028) are inconsistent by
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #358.
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12029) all_12_6 = e3 | all_12_12 = e3 | all_12_20 = e3
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12029) gives:
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12030) all_12_6 = e3
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (12030) imply:
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12031) all_4_4 = e3
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12020), (12031) imply:
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12032) $false
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12032) is inconsistent.
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12033) all_12_12 = e3 | all_12_20 = e3
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12033) gives:
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12034) all_12_12 = e3
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (12034) imply:
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12035) all_4_9 = e3
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12027), (12035) imply:
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12036) $false
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12036) is inconsistent.
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12037) all_12_20 = e3
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (12037) imply:
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12038) all_4_16 = e3
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (693), (12038) imply:
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12039) ~ (all_4_18 = e3)
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12039) implies:
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12040) ~ (all_4_18 = e3)
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (696), (12038) imply:
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12041) ~ (all_4_24 = e3)
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12041) implies:
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12042) ~ (all_4_24 = e3)
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11127), (12038) imply:
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12043) ~ (e4 = e3)
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11143) gives:
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12044) all_10_59 = e3
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (420), (12044) imply:
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12045) all_4_18 = e3
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12040), (12045) imply:
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12046) $false
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12046) is inconsistent.
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12047) all_10_64 = e2 | all_10_69 = e1 | all_10_74 = e0
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12047) gives:
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12048) all_10_64 = e2
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (11212), (12048) are inconsistent by
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #195.
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12049) all_10_69 = e1 | all_10_74 = e0
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12049) gives:
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12050) all_10_69 = e1
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (560), (12050) imply:
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12051) all_4_22 = e1
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12051) implies:
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12052) all_4_22 = e1
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (414), (12052) imply:
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12053) all_12_23 = e1
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (756), (12052) imply:
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12054) ~ (all_4_24 = e1)
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12054) implies:
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12055) ~ (all_4_24 = e1)
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (11), (14), (435), (448), (455), (462),
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (482), (518), (562), (612), (654), (656), (712),
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (714), (721), (739), (8422), (8424), (9341),
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9342), (9346), (9367), (11209), (11212), (11213),
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11215), (11216), (11726), (11999), (12012),
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12037), (12042), (12049), (12050), (12053),
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12055) are inconsistent by sub-proof #146.
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12056) all_10_74 = e0
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (562), (8424), (12056) are inconsistent by
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #276.
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12057) ~ (all_12_4 = e3)
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (498), (12057) imply:
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12058) ~ (all_4_5 = e3)
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11970) gives:
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12059) all_12_1 = e3
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (12059) imply:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12060) all_4_2 = e3
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (697), (12060) imply:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12061) ~ (all_4_3 = e3)
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12061) implies:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12062) ~ (all_4_3 = e3)
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (700), (12060) imply:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12063) ~ (all_4_18 = e3)
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12063) implies:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12064) ~ (all_4_18 = e3)
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (13), (420), (472), (514), (518), (560),
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (562), (749), (8424), (9346), (9370), (11143),
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11212), (12001), (12062), (12064) are
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #190.
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12065) all_12_4 = e3 | all_12_9 = e3 | all_12_16 = e3
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12065) gives:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12066) all_12_4 = e3
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (12066) imply:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12067) all_4_5 = e3
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12058), (12067) imply:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12068) $false
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12068) is inconsistent.
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12069) all_12_9 = e3 | all_12_16 = e3
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12069) gives:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12070) all_12_9 = e3
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (12004), (12070) are inconsistent by
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #145.
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12071) all_12_16 = e3
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (12071) imply:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12072) all_4_17 = e3
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11966), (12072) imply:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12073) $false
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12073) is inconsistent.
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12074) ~ (all_12_9 = e2)
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (494), (12074) imply:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12075) ~ (all_4_10 = e2)
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11732) gives:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12076) all_12_1 = e2
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (12076) imply:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12077) all_4_2 = e2
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11727), (12077) imply:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12078) $false
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12078) is inconsistent.
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12079) all_12_4 = e2 | all_12_9 = e2 | all_12_16 = e2
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12079) gives:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12080) all_12_4 = e2
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (12080) imply:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12081) all_4_5 = e2
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (726), (12081) imply:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12082) ~ (all_4_10 = e2)
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11121), (12081) imply:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12083) ~ (e4 = e2)
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (12081) imply:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12084) op(all_4_4, e2) = e4
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (375) gives:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12085) all_12_9 = e3
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (12085) imply:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12086) all_4_10 = e3
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (12086) imply:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12087) op(all_4_9, e3) = e4
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (370) gives:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12088) all_12_12 = e3
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (12088) imply:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12089) all_4_9 = e3
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12087), (12089) imply:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12090) op(e3, e3) = e4
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (9349), (12090), (function-axioms) are
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #704.
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12091) ~ (all_12_12 = e3)
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (446), (12091) imply:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12092) ~ (all_4_9 = e3)
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (361) gives:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12093) all_12_20 = e3
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (12093) imply:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12094) all_4_16 = e3
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (693), (12094) imply:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12095) ~ (all_4_18 = e3)
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12095) implies:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12096) ~ (all_4_18 = e3)
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (696), (12094) imply:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12097) ~ (all_4_24 = e3)
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12097) implies:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12098) ~ (all_4_24 = e3)
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11143) gives:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12099) all_10_59 = e3
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (420), (12099) imply:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12100) all_4_18 = e3
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12096), (12100) imply:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12101) $false
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12101) is inconsistent.
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12102) all_10_64 = e2 | all_10_69 = e1 | all_10_74 = e0
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12102) gives:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12103) all_10_64 = e2
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (11212), (12103) are inconsistent by
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #195.
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12104) ~ (all_10_64 = e2)
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12105) all_10_69 = e1 | all_10_74 = e0
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12105) gives:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12106) all_10_69 = e1
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (560), (12106) imply:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12107) all_4_22 = e1
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12107) implies:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12108) all_4_22 = e1
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (414), (12108) imply:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12109) all_12_23 = e1
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (756), (12108) imply:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12110) ~ (all_4_24 = e1)
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12110) implies:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12111) ~ (all_4_24 = e1)
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9370) gives:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12112) all_10_56 = e3
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (514), (12112) imply:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12113) all_4_3 = e3
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (707), (12113) imply:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12114) ~ (all_4_7 = e3)
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12114) implies:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12115) ~ (all_4_7 = e3)
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9349), (12113) imply:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12116) ~ (e4 = e3)
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (11), (14), (435), (448), (455), (462),
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (482), (518), (562), (612), (654), (656), (712),
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (714), (721), (739), (8422), (8424), (9341),
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9342), (9346), (9367), (11209), (11212), (11213),
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11215), (11216), (11726), (11999), (12093),
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12098), (12105), (12106), (12109), (12111),
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12115) are inconsistent by sub-proof #146.
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12117) all_10_61 = e2 | all_10_66 = e1 | all_10_71 = e0
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (13), (472), (518), (560), (562), (749),
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8424), (9346), (11212), (12001), (12102), (12117)
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #191.
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12118) all_10_74 = e0
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (562), (8424), (12118) are inconsistent by
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #276.
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12119) ~ (all_12_20 = e3)
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (657), (12119) imply:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12120) ~ (all_4_16 = e3)
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11405) gives:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12121) all_12_2 = e3
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (11995), (12121) are inconsistent by
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #358.
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12122) all_12_6 = e3 | all_12_12 = e3 | all_12_20 = e3
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12122) gives:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12123) all_12_6 = e3
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (12123) imply:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12124) all_4_4 = e3
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12084), (12124) imply:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12125) op(e3, e2) = e4
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (9350), (12125), (function-axioms) are
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #689.
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12126) all_12_12 = e3 | all_12_20 = e3
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (657), (12092), (12120), (12126) are
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #648.
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12127) ~ (all_12_9 = e3)
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (494), (12127) imply:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12128) ~ (all_4_10 = e3)
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (11), (13), (420), (472), (494), (514),
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (518), (560), (562), (659), (666), (697), (700),
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (749), (8424), (9346), (9370), (11143), (11212),
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11966), (11970), (12001), (12080), (12128) are
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #187.
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12129) all_12_9 = e2 | all_12_16 = e2
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (494), (659), (11994), (12075), (12129) are
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #144.
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12130) ~ (all_12_2 = e2)
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12131) all_12_3 = e2 | all_12_5 = e2 | all_12_10 = e2 |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_17 = e2
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (486), (12130) imply:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12132) ~ (all_4_1 = e2)
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (375) gives:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12133) all_12_9 = e3
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (12133) imply:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12134) all_4_10 = e3
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12134) implies:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12135) all_4_10 = e3
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (702), (12135) imply:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12136) ~ (all_4_2 = e3)
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (12135) imply:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12137) op(all_4_9, e3) = e4
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (782), (12135) imply:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12138) op(e3, e1) = all_10_3
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11732) gives:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12139) all_12_1 = e2
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (12139) imply:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12140) all_4_2 = e2
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11727), (12140) imply:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12141) $false
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12141) is inconsistent.
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12142) all_12_4 = e2 | all_12_9 = e2 | all_12_16 = e2
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12142) gives:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12143) all_12_4 = e2
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (12143) imply:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12144) all_4_5 = e2
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12144) implies:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12145) all_4_5 = e2
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (722), (12145) imply:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12146) ~ (all_4_7 = e2)
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12146) implies:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12147) ~ (all_4_7 = e2)
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (12145) imply:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12148) op(all_4_4, e2) = e4
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (777), (12145) imply:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12149) op(e2, e2) = all_10_2
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_8,
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_2, e2, e2, simplifying with (29), (12149)
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12150) all_10_2 = all_4_8
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_12,
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_3, e1, e3, simplifying with (33), (12138)
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12151) all_10_3 = all_4_12
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (398) gives:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12152) all_12_0 = e0
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11115), (12152) imply:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12153) e4 = e0
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (12153) imply:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12154) $false
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12154) is inconsistent.
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12155) ~ (all_12_0 = e0)
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12156) all_12_1 = e0 | all_12_4 = e0 | all_12_9 = e0 |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_16 = e0
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (379) gives:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12157) all_12_6 = e2
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (12157) imply:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12158) all_4_4 = e2
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12148), (12158) imply:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12159) op(e2, e2) = e4
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (11167), (12159), (function-axioms) are
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #736.
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12160) ~ (all_12_6 = e2)
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (665), (12160) imply:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12161) ~ (all_4_4 = e2)
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (390) gives:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12162) all_12_2 = e3
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (12162) imply:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12163) all_4_1 = e3
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (678), (12163) imply:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12164) ~ (all_4_3 = e3)
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12164) implies:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12165) ~ (all_4_3 = e3)
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (65), (12163) imply:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12166) op(e3, all_4_2) = e4
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (33), (420), (472), (482), (514),
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (518), (523), (560), (562), (574), (576), (666),
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (697), (704), (706), (708), (749), (8424), (9346),
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9349), (9351), (9370), (9384), (11111), (11114),
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11143), (11212), (11219), (11225), (11727),
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11974), (12131), (12136), (12147), (12156),
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12165), (12166), (function-axioms) are
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #147.
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12167) ~ (all_12_2 = e3)
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (486), (12167) imply:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12168) ~ (all_4_1 = e3)
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9381) gives:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12169) all_8_5 = e3
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (566), (12168), (12169) are inconsistent by
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #764.
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12170) all_8_5 = e2 | all_8_5 = e1 | all_8_5 = e0
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12170) gives:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12171) all_8_5 = e2
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (566), (12132), (12171) are inconsistent by
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #763.
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12172) all_8_5 = e1 | all_8_5 = e0
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12172) gives:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12173) all_8_5 = e1
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (566), (11395), (12173) are inconsistent by
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #762.
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12174) all_8_5 = e0
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (566), (12174) imply:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12175) all_4_1 = e0
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12175) implies:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12176) all_4_1 = e0
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (675), (12176) imply:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12177) ~ (all_4_4 = e0)
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12177) implies:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12178) ~ (all_4_4 = e0)
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (676), (12176) imply:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12179) ~ (all_4_9 = e0)
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12179) implies:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12180) ~ (all_4_9 = e0)
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (369) gives:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12181) all_12_12 = e2
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (12181) imply:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12182) all_4_9 = e2
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12137), (12182) imply:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12183) op(e2, e3) = e4
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_6, e4,
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (30), (12183) gives:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12184) all_4_6 = e4
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10798), (12184) imply:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12185) $false
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12185) is inconsistent.
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12186) ~ (all_12_12 = e2)
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (446), (12186) imply:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12187) ~ (all_4_9 = e2)
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (370) gives:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12188) all_12_12 = e3
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (12188) imply:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12189) all_4_9 = e3
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12137), (12189) imply:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12190) op(e3, e3) = e4
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (9349), (12190), (function-axioms) are
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #704.
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12191) ~ (all_12_12 = e3)
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (446), (12191) imply:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12192) ~ (all_4_9 = e3)
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11151) gives:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12193) all_8_15 = e3
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (570), (12193) imply:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12194) all_4_9 = e3
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12192), (12194) imply:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12195) $false
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12195) is inconsistent.
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12196) all_8_15 = e2 | all_8_15 = e1 | all_8_15 = e0
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12196) gives:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12197) all_8_15 = e2
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (570), (12197) imply:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12198) all_4_9 = e2
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12187), (12198) imply:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12199) $false
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12199) is inconsistent.
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12200) all_8_15 = e1 | all_8_15 = e0
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12200) gives:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12201) all_8_15 = e1
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (570), (12201) imply:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12202) all_4_9 = e1
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (682), (12202) imply:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12203) ~ (all_4_4 = e1)
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11148) gives:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12204) all_8_10 = e3
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (568), (12204) imply:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12205) all_4_4 = e3
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12205) implies:
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12206) all_4_4 = e3
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12148), (12206) imply:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12207) op(e3, e2) = e4
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (9350), (12207), (function-axioms) are
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #689.
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12208) all_8_10 = e2 | all_8_10 = e1 | all_8_10 = e0
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (568), (12161), (12178), (12203), (12208) are
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #716.
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12209) all_8_15 = e0
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (570), (12209) imply:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12210) all_4_9 = e0
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12180), (12210) imply:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12211) $false
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12211) is inconsistent.
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12212) all_12_9 = e2 | all_12_16 = e2
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12212) gives:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12213) all_12_9 = e2
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (12133), (12213) are inconsistent by
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #145.
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12214) all_12_16 = e2
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (12214) imply:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12215) all_4_17 = e2
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11994), (12215) imply:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12216) $false
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12216) is inconsistent.
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12217) ~ (all_12_9 = e3)
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (494), (12217) imply:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12218) ~ (all_4_10 = e3)
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (395) gives:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12219) all_12_1 = e3
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (12219) imply:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12220) all_4_2 = e3
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (697), (12220) imply:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12221) ~ (all_4_3 = e3)
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12221) implies:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12222) ~ (all_4_3 = e3)
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (698), (12220) imply:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12223) ~ (all_4_6 = e3)
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12223) implies:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12224) ~ (all_4_6 = e3)
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (700), (12220) imply:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12225) ~ (all_4_18 = e3)
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12225) implies:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12226) ~ (all_4_18 = e3)
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11111), (12220) imply:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12227) ~ (e4 = e3)
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (13), (14), (420), (431), (435), (448),
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (455), (472), (514), (518), (523), (560), (562),
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (654), (728), (729), (749), (754), (764), (8424),
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9346), (9370), (11143), (11179), (11183),
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11194), (11207), (11212), (11219), (12222),
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12224), (12226) are inconsistent by sub-proof
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #169.
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12228) ~ (all_12_1 = e3)
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (666), (12228) imply:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12229) ~ (all_4_2 = e3)
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11970) gives:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12230) all_12_1 = e3
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (12230) imply:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12231) all_4_2 = e3
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12229), (12231) imply:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12232) $false
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12232) is inconsistent.
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12233) all_12_4 = e3 | all_12_9 = e3 | all_12_16 = e3
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12233) gives:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12234) all_12_4 = e3
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (12234) imply:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12235) all_4_5 = e3
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12235) implies:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12236) all_4_5 = e3
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (726), (12236) imply:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12237) ~ (all_4_10 = e3)
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (727), (12236) imply:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12238) ~ (all_4_17 = e3)
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (12236) imply:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12239) op(all_4_4, e3) = e4
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (777), (12236) imply:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12240) op(e3, e2) = all_10_2
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11732) gives:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12241) all_12_1 = e2
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (12241) imply:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12242) all_4_2 = e2
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11727), (12242) imply:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12243) $false
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12243) is inconsistent.
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12244) all_12_4 = e2 | all_12_9 = e2 | all_12_16 = e2
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12244) gives:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12245) all_12_4 = e2
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (494), (659), (11966), (12218), (12233),
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12245) are inconsistent by sub-proof #188.
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12246) all_12_9 = e2 | all_12_16 = e2
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12246) gives:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12247) all_12_9 = e2
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (12247) imply:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12248) all_4_10 = e2
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12248) implies:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12249) all_4_10 = e2
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (742), (12249) imply:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12250) ~ (all_4_12 = e2)
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12250) implies:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12251) ~ (all_4_12 = e2)
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12218), (12249) imply:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12252) ~ (e3 = e2)
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (12249) imply:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12253) op(all_4_9, e2) = e4
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (56), (12249) imply:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12254) op(e2, all_4_9) = e1
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_7,
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_2, e2, e3, simplifying with (34), (12240)
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12255) all_10_2 = all_4_7
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (380) gives:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12256) all_12_6 = e3
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (12256) imply:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12257) all_4_4 = e3
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12239), (12257) imply:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12258) op(e3, e3) = e4
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (9349), (12258), (function-axioms) are
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #704.
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12259) ~ (all_12_6 = e3)
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (665), (12259) imply:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12260) ~ (all_4_4 = e3)
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (360) gives:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12261) all_12_20 = e2
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (12261) imply:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12262) all_4_16 = e2
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (390) gives:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12263) all_12_2 = e3
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (12263) imply:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12264) all_4_1 = e3
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (680), (12264) imply:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12265) ~ (all_4_12 = e3)
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12265) implies:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12266) ~ (all_4_12 = e3)
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (65), (12264) imply:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12267) op(e3, all_4_2) = e4
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (393) gives:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12268) all_12_1 = e1
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (12268) imply:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12269) all_4_2 = e1
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12267), (12269) imply:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12270) op(e3, e1) = e4
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (9351), (12270), (function-axioms) are
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #688.
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12271) ~ (all_12_1 = e1)
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (666), (12271) imply:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12272) ~ (all_4_2 = e1)
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11114) gives:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12273) all_8_1 = e3
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (574), (12273) imply:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12274) all_4_2 = e3
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12229), (12274) imply:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12275) $false
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12275) is inconsistent.
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12276) all_8_1 = e2 | all_8_1 = e1 | all_8_1 = e0
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12276) gives:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12277) all_8_1 = e2
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (574), (12277) imply:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12278) all_4_2 = e2
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11727), (12278) imply:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12279) $false
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12279) is inconsistent.
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12280) ~ (all_8_1 = e2)
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12281) all_8_1 = e1 | all_8_1 = e0
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12281) gives:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12282) all_8_1 = e1
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (574), (12282) imply:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12283) all_4_2 = e1
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12272), (12283) imply:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12284) $false
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12284) is inconsistent.
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12285) all_8_1 = e0
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (574), (12285) imply:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12286) all_4_2 = e0
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (700), (12286) imply:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12287) ~ (all_4_18 = e0)
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12287) implies:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12288) ~ (all_4_18 = e0)
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11111), (12286) imply:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12289) ~ (e4 = e0)
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11727), (12286) imply:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12290) ~ (e2 = e0)
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8422) gives:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12291) all_12_20 = e0
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12261), (12291) imply:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12292) e2 = e0
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (12292) imply:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12293) $false
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12293) is inconsistent.
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12294) all_12_21 = e0 | all_12_22 = e0 | all_12_23 = e0
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12294) gives:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12295) all_12_21 = e0
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (656), (12295) imply:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12296) all_4_18 = e0
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12288), (12296) imply:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12297) $false
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12297) is inconsistent.
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12298) all_12_22 = e0 | all_12_23 = e0
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12298) gives:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12299) all_12_22 = e0
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11213), (12299) imply:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12300) e4 = e0
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (12300) imply:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12301) $false
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12301) is inconsistent.
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12302) all_12_23 = e0
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (414), (12302) imply:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12303) all_4_22 = e0
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (749), (12303) imply:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12304) ~ (all_4_12 = e0)
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (595), (9375), (11222), (12218), (12251),
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12266), (12304), (function-axioms) are
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #518.
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12305) ~ (all_12_2 = e3)
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (486), (12305) imply:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12306) ~ (all_4_1 = e3)
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11405) gives:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12307) all_12_2 = e3
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (12307) imply:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12308) all_4_1 = e3
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12306), (12308) imply:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12309) $false
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12309) is inconsistent.
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12310) all_12_6 = e3 | all_12_12 = e3 | all_12_20 = e3
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12310) gives:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12311) all_12_6 = e3
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (12311) imply:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12312) all_4_4 = e3
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12260), (12312) imply:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12313) $false
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12313) is inconsistent.
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12314) all_12_12 = e3 | all_12_20 = e3
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12314) gives:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12315) all_12_12 = e3
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (12315) imply:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12316) all_4_9 = e3
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12253), (12316) imply:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12317) op(e3, e2) = e4
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (9350), (12317), (function-axioms) are
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #689.
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12318) all_12_20 = e3
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12261), (12318) imply:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12319) e3 = e2
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12319) implies:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12320) e3 = e2
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12234), (12320) imply:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12321) all_12_4 = e2
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (494), (659), (11966), (12218), (12233),
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12321) are inconsistent by sub-proof #188.
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12322) ~ (all_12_20 = e2)
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (657), (12322) imply:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12323) ~ (all_4_16 = e2)
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (369) gives:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12324) all_12_12 = e2
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (12324) imply:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12325) all_4_9 = e2
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (29), (12253), (12254), (12325),
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #552.
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12326) ~ (all_12_12 = e2)
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (446), (12326) imply:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12327) ~ (all_4_9 = e2)
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11736) gives:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12328) all_12_2 = e2
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (12328) imply:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12329) all_4_1 = e2
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12132), (12329) imply:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12330) $false
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12330) is inconsistent.
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12331) all_12_6 = e2 | all_12_12 = e2 | all_12_20 = e2
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12331) gives:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12332) all_12_6 = e2
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (12332) imply:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12333) all_4_4 = e2
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12239), (12333) imply:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12334) op(e2, e3) = e4
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (10798), (12334), (function-axioms) are
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #503.
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12335) all_12_12 = e2 | all_12_20 = e2
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (657), (12323), (12327), (12335) are
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #209.
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12336) all_12_16 = e2
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (12336) imply:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12337) all_4_17 = e2
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11994), (12337) imply:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12338) $false
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12338) is inconsistent.
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12339) all_12_9 = e3 | all_12_16 = e3
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (494), (659), (11966), (12218), (12339) are
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #189.
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12340) ~ (all_12_13 = e4)
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12341) all_12_14 = e4 | all_12_15 = e4 | all_12_19 = e4
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (662), (12340) imply:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12342) ~ (all_4_11 = e4)
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (41), (51), (63), (430), (462), (482), (656),
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (660), (661), (662), (9356), (10798), (11110),
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11214), (11215), (12341), (12342),
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #143.
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12343) ~ (all_8_22 = e4)
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (592), (12343) imply:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12344) ~ (all_4_20 = e4)
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11161) gives:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12345) all_12_5 = e4
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (9350), (12345) are inconsistent by
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #566.
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12346) all_12_8 = e4 | all_12_14 = e4 | all_12_22 = e4
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12346) gives:
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12347) all_12_8 = e4
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (664), (11167), (12347) are inconsistent by
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #681.
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12348) all_12_14 = e4 | all_12_22 = e4
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12348) gives:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12349) all_12_14 = e4
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (661), (12349) imply:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12350) all_4_13 = e4
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12350) implies:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12351) all_4_13 = e4
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11184), (12351) imply:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12352) op(e4, e4) = e1
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (41), (11131), (12352), (function-axioms)
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #510.
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12353) all_12_22 = e4
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (655), (12344), (12353) are inconsistent by
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #640.
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12354) all_12_18 = e4
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (658), (9354), (12354) are inconsistent by
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #773.
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.11 | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.11 | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | End of split
% 180.28/27.11 | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | End of split
% 180.28/27.11 | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | Case 2:
% 180.28/27.11 | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | (12355) ~ (all_12_0 = e4)
% 180.28/27.11 | | | | | | | | | | | | | | | | (12356) all_12_1 = e4 | all_12_4 = e4 | all_12_9 = e4 |
% 180.28/27.11 | | | | | | | | | | | | | | | | all_12_16 = e4
% 180.28/27.11 | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | REDUCE: (506), (12355) imply:
% 180.28/27.11 | | | | | | | | | | | | | | | | (12357) ~ (all_4_0 = e4)
% 180.28/27.11 | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 180.28/27.11 | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.11 | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | (12358) all_8_0 = e4
% 180.28/27.11 | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | REF_CLOSE: (564), (12357), (12358) are inconsistent by
% 180.28/27.11 | | | | | | | | | | | | | | | | | sub-proof #706.
% 180.28/27.11 | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.11 | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | (12359) ~ (all_8_0 = e4)
% 180.28/27.11 | | | | | | | | | | | | | | | | | (12360) all_8_0 = e3 | all_8_0 = e2 | all_8_0 = e1 |
% 180.28/27.11 | | | | | | | | | | | | | | | | | all_8_0 = e0
% 180.28/27.11 | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | BETA: splitting (405) gives:
% 180.28/27.11 | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.11 | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | (12361) all_12_0 = e4
% 180.28/27.11 | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (12361) imply:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | (12362) all_4_0 = e4
% 180.28/27.11 | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | REDUCE: (12357), (12362) imply:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | (12363) $false
% 180.28/27.11 | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | CLOSE: (12363) is inconsistent.
% 180.28/27.11 | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.11 | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | (12364) all_12_2 = e4 | all_12_6 = e4 | all_12_12 = e4 |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | all_12_20 = e4
% 180.28/27.11 | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | BETA: splitting (381) gives:
% 180.28/27.11 | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | (12365) all_12_6 = e4
% 180.28/27.11 | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (12365) imply:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | (12366) all_4_4 = e4
% 180.28/27.11 | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | SIMP: (12366) implies:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | (12367) all_4_4 = e4
% 180.28/27.11 | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | REDUCE: (682), (12367) imply:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | (12368) ~ (all_4_9 = e4)
% 180.28/27.11 | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | SIMP: (12368) implies:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | (12369) ~ (all_4_9 = e4)
% 180.28/27.11 | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | REDUCE: (683), (12367) imply:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | (12370) ~ (all_4_16 = e4)
% 180.28/27.11 | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | SIMP: (12370) implies:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | (12371) ~ (all_4_16 = e4)
% 180.28/27.11 | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | REDUCE: (62), (12367) imply:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | (12372) op(e4, all_4_5) = e4
% 180.28/27.11 | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | REDUCE: (61), (12367) imply:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | (12373) op(all_4_5, e4) = e2
% 180.28/27.11 | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_27,
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | e4, all_4_5, e4, simplifying with (794), (12372)
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | gives:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | (12374) all_10_27 = e4
% 180.28/27.11 | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | BETA: splitting (376) gives:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | (12375) all_12_9 = e4
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (12375) imply:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | (12376) all_4_10 = e4
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | SIMP: (12376) implies:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | (12377) all_4_10 = e4
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (12377) imply:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | (12378) ~ (all_4_15 = e4)
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | SIMP: (12378) implies:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | (12379) ~ (all_4_15 = e4)
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (23), (29), (35), (66), (400), (401), (404),
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | (446), (486), (506), (564), (657), (665), (685),
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | (9342), (9348), (9349), (12360), (12364), (12369),
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | (12371), (12379), (function-axioms) are
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #141.
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | (12380) ~ (all_12_9 = e4)
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | REDUCE: (494), (12380) imply:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | (12381) ~ (all_4_10 = e4)
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (494), (498), (659), (666), (9352), (11111),
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | (12356), (12372), (12373), (12381),
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | #297.
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.11 | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | (12382) ~ (all_12_6 = e4)
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | (12383) all_12_7 = e4 | all_12_8 = e4 | all_12_11 = e4 |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | all_12_18 = e4
% 180.28/27.11 | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | REDUCE: (665), (12382) imply:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | (12384) ~ (all_4_4 = e4)
% 180.28/27.11 | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | (12385) all_8_18 = e4
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (600), (12385) imply:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | (12386) all_4_15 = e4
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (41), (51), (58), (454), (462), (658), (664),
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | (751), (9354), (10798), (12383), (12386),
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | #397.
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | (12387) ~ (all_8_18 = e4)
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | REDUCE: (600), (12387) imply:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | (12388) ~ (all_4_15 = e4)
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | BETA: splitting (371) gives:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | (12389) all_12_12 = e4
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (12389) imply:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | (12390) all_4_9 = e4
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | SIMP: (12390) implies:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | (12391) all_4_9 = e4
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | REDUCE: (689), (12391) imply:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | (12392) ~ (all_4_11 = e4)
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | SIMP: (12392) implies:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | (12393) ~ (all_4_11 = e4)
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | REDUCE: (770), (12391) imply:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | (12394) op(e4, e4) = all_10_15
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11110) gives:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | (12395) all_12_3 = e4
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (482), (12395) imply:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | (12396) all_4_3 = e4
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9349), (12396) imply:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | (12397) $false
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12397) is inconsistent.
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | (12398) all_12_7 = e4 | all_12_13 = e4 | all_12_21 = e4
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12398) gives:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | (12399) all_12_7 = e4
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (462), (12399) imply:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | (12400) all_4_6 = e4
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10798), (12400) imply:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | (12401) $false
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12401) is inconsistent.
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | (12402) all_12_13 = e4 | all_12_21 = e4
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12402) gives:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | (12403) all_12_13 = e4
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (662), (12393), (12403) are inconsistent by
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #604.
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | (12404) all_12_21 = e4
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (656), (12404) imply:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | (12405) all_4_18 = e4
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12405) implies:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | (12406) all_4_18 = e4
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9358), (12406) imply:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | (12407) op(e4, e4) = e3
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9359), (12406) imply:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | (12408) op(e4, e4) = e0
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_0, e0,
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | e4, e4, simplifying with (41), (12408) gives:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | (12409) all_4_0 = e0
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_0,
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | all_10_15, e4, e4, simplifying with (41), (12394)
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | (12410) all_10_15 = all_4_0
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | all_10_15, e4, e4, simplifying with (12394),
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | (12407) gives:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | (12411) all_10_15 = e3
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12410), (12411) imply:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | (12412) all_4_0 = e3
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12412) implies:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | (12413) all_4_0 = e3
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12409), (12413) imply:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | (12414) e3 = e0
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (12414) imply:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | (12415) $false
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12415) is inconsistent.
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | (12416) ~ (all_12_12 = e4)
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | REDUCE: (446), (12416) imply:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | (12417) ~ (all_4_9 = e4)
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12364) gives:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | (12418) all_12_2 = e4
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (9348), (12418) are inconsistent by
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | sub-proof #695.
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | (12419) all_12_6 = e4 | all_12_12 = e4 | all_12_20 = e4
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12419) gives:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | (12420) all_12_6 = e4
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (665), (12384), (12420) are inconsistent by
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #780.
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | (12421) all_12_12 = e4 | all_12_20 = e4
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12421) gives:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | (12422) all_12_12 = e4
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (12417), (12422) are inconsistent by
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #613.
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | (12423) all_12_20 = e4
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (12423) imply:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | (12424) all_4_16 = e4
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12424) implies:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | (12425) all_4_16 = e4
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (424), (12425) imply:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | (12426) all_10_54 = e4
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (50), (12425) imply:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | (12427) op(e4, all_4_17) = e4
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (771), (12425) imply:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | (12428) op(e4, e4) = all_10_20
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_0,
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | all_10_20, e4, e4, simplifying with (41), (12428)
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | (12429) all_10_20 = all_4_0
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_29,
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | e4, all_4_17, e4, simplifying with (796), (12427)
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | (12430) all_10_29 = e4
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (376) gives:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | (12431) all_12_9 = e4
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (12431) imply:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | (12432) all_4_10 = e4
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12432) implies:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | (12433) all_4_10 = e4
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (528), (12433) imply:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | (12434) all_10_65 = e4
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (12433) imply:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | (12435) ~ (all_4_14 = e4)
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12435) implies:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | (12436) ~ (all_4_14 = e4)
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (746), (12433) imply:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | (12437) ~ (all_4_17 = e4)
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (56), (12433) imply:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | (12438) op(e4, all_4_9) = e1
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (795), (12433) imply:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | (12439) op(e4, e4) = all_10_28
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12383) gives:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (12440) all_12_7 = e4
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (462), (12440) imply:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (12441) all_4_6 = e4
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10798), (12441) imply:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (12442) $false
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12442) is inconsistent.
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (12443) all_12_8 = e4 | all_12_11 = e4 | all_12_18 = e4
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12443) gives:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12444) all_12_8 = e4
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (664), (12444) imply:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12445) all_4_8 = e4
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (455), (12445) imply:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12446) all_10_62 = e4
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (58), (12445) imply:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12447) op(e4, e4) = e2
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_0,
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_28, e4, e4, simplifying with (41), (12439)
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12448) all_10_28 = all_4_0
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_28, e4, e4, simplifying with (12439),
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12447) gives:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12449) all_10_28 = e2
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12448), (12449) imply:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12450) all_4_0 = e2
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (508), (12450) imply:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12451) all_10_50 = e2
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (12450) imply:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12452) all_12_0 = e2
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (671), (12450) imply:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12453) ~ (all_4_2 = e2)
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12453) implies:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12454) ~ (all_4_2 = e2)
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (672), (12450) imply:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12455) ~ (all_4_5 = e2)
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12455) implies:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12456) ~ (all_4_5 = e2)
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12357), (12450) imply:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12457) ~ (e4 = e2)
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (329) gives:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12458) all_10_50 = e4
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12451), (12458) imply:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12459) e4 = e2
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13), (12459) imply:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12460) $false
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12460) is inconsistent.
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12461) ~ (all_10_50 = e4)
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12462) all_10_51 = e3 | all_10_52 = e2 | all_10_53 = e1 |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_54 = e0
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (328) gives:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12463) all_10_50 = e4
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12451), (12463) imply:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12464) e4 = e2
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13), (12464) imply:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12465) $false
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12465) is inconsistent.
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12466) all_10_55 = e3 | all_10_60 = e2 | all_10_65 = e1 |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_70 = e0
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (326) gives:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12467) all_10_52 = e4
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (463), (12384), (12467) are inconsistent by
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #778.
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12468) all_10_57 = e3 | all_10_62 = e2 | all_10_67 = e1 |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_72 = e0
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (400) gives:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12469) all_12_0 = e1
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12452), (12469) imply:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12470) e2 = e1
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (12470) imply:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12471) $false
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12471) is inconsistent.
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12472) all_12_1 = e1 | all_12_4 = e1 | all_12_9 = e1 |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_16 = e1
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (398) gives:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12473) all_12_0 = e0
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12452), (12473) imply:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12474) e2 = e0
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (12474) imply:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12475) $false
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12475) is inconsistent.
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12476) ~ (all_12_0 = e0)
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12477) all_12_1 = e0 | all_12_4 = e0 | all_12_9 = e0 |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_16 = e0
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (363) gives:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12478) all_12_16 = e1
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (12478) imply:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12479) all_4_17 = e1
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (12479) imply:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12480) all_10_70 = e1
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (703), (12479) imply:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12481) ~ (all_4_2 = e1)
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (759), (12479) imply:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12482) ~ (all_4_23 = e1)
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12482) implies:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12483) ~ (all_4_23 = e1)
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9352), (12479) imply:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12484) ~ (e4 = e1)
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12427), (12479) imply:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12485) op(e4, e1) = e4
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12466) gives:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12486) all_10_55 = e3
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (500), (12486) imply:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12487) all_4_2 = e3
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12487) implies:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12488) all_4_2 = e3
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (698), (12488) imply:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12489) ~ (all_4_6 = e3)
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12489) implies:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12490) ~ (all_4_6 = e3)
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11111), (12488) imply:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12491) ~ (e4 = e3)
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9367) gives:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12492) all_10_71 = e3
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (9346), (12492) are inconsistent by
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #281.
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12493) ~ (all_10_71 = e3)
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12494) all_10_72 = e2 | all_10_73 = e1 | all_10_74 = e0
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12494) gives:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12495) all_10_72 = e2
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (448), (12495) imply:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12496) all_4_21 = e2
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12496) implies:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12497) all_4_21 = e2
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (658), (12497) imply:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12498) all_12_18 = e2
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (687), (12497) imply:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12499) ~ (all_4_4 = e2)
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12468) gives:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12500) all_10_57 = e3
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (523), (12490), (12500) are inconsistent by
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #140.
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12501) ~ (all_10_57 = e3)
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12502) all_10_62 = e2 | all_10_67 = e1 | all_10_72 = e0
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12502) gives:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12503) all_10_62 = e2
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (12446), (12503) are inconsistent by
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #381.
% 180.28/27.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12504) all_10_67 = e1 | all_10_72 = e0
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12504) gives:
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12505) all_10_67 = e1
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (532), (12505) imply:
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12506) all_4_14 = e1
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12506) implies:
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12507) all_4_14 = e1
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (454), (12507) imply:
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12508) all_12_11 = e1
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (380) gives:
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12509) all_12_6 = e3
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (12509) imply:
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12510) all_4_4 = e3
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12510) implies:
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12511) all_4_4 = e3
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (463), (12511) imply:
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12512) all_10_52 = e3
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (675), (12511) imply:
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12513) ~ (all_4_1 = e3)
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12462) gives:
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12514) all_10_51 = e3
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (512), (12513), (12514) are inconsistent by
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #623.
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12515) all_10_52 = e2 | all_10_53 = e1 | all_10_54 = e0
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12515) gives:
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12516) all_10_52 = e2
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (12512), (12516) are inconsistent by
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #374.
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12517) all_10_53 = e1 | all_10_54 = e0
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (534), (12417), (12426), (12438), (12485),
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12517), (function-axioms) are inconsistent by
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #371.
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12518) all_12_7 = e3 | all_12_8 = e3 | all_12_11 = e3 |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_18 = e3
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12518) gives:
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12519) all_12_7 = e3
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (462), (12490), (12519) are inconsistent by
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #139.
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12520) all_12_8 = e3 | all_12_11 = e3 | all_12_18 = e3
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12520) gives:
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12521) all_12_8 = e3
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12444), (12521) imply:
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12522) e4 = e3
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (12522) imply:
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12523) $false
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12523) is inconsistent.
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12524) all_12_11 = e3 | all_12_18 = e3
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12524) gives:
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12525) all_12_11 = e3
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12508), (12525) imply:
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12526) e3 = e1
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (12526) imply:
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12527) $false
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12527) is inconsistent.
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12528) all_12_18 = e3
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (12498), (12528) are inconsistent by
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #138.
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12529) all_10_72 = e0
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12495), (12529) are inconsistent by
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #277.
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12530) all_10_73 = e1 | all_10_74 = e0
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (562), (654), (8424), (12483), (12530) are
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #271.
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12531) all_10_60 = e2 | all_10_65 = e1 | all_10_70 = e0
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12531) gives:
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12532) all_10_60 = e2
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (516), (12456), (12532) are inconsistent by
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #585.
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12533) all_10_65 = e1 | all_10_70 = e0
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12), (12434), (12480), (12533) are
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #369.
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12534) ~ (all_12_16 = e1)
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (659), (12534) imply:
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12535) ~ (all_4_17 = e1)
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12466) gives:
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12536) all_10_55 = e3
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (500), (12536) imply:
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12537) all_4_2 = e3
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12537) implies:
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12538) all_4_2 = e3
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (12538) imply:
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12539) all_12_1 = e3
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12472) gives:
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12540) all_12_1 = e1
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12539), (12540) imply:
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12541) e3 = e1
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (12541) imply:
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12542) $false
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12542) is inconsistent.
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12543) all_12_4 = e1 | all_12_9 = e1 | all_12_16 = e1
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12543) gives:
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12544) all_12_4 = e1
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (12544) imply:
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12545) all_4_5 = e1
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (11), (37), (659), (9352), (12427),
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12431), (12477), (12539), (12544),
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #379.
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12546) all_12_9 = e1 | all_12_16 = e1
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (659), (12431), (12535), (12546) are
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #299.
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12547) all_10_60 = e2 | all_10_65 = e1 | all_10_70 = e0
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12547) gives:
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12548) all_10_60 = e2
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (516), (12456), (12548) are inconsistent by
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #585.
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12549) all_10_65 = e1 | all_10_70 = e0
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (37), (488), (9352), (12427), (12434),
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12549), (function-axioms) are inconsistent by
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #401.
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12550) all_12_11 = e4 | all_12_18 = e4
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (454), (658), (9354), (12436), (12550) are
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #772.
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | (12551) ~ (all_12_9 = e4)
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (494), (12551) imply:
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | (12552) ~ (all_4_10 = e4)
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (23), (29), (35), (66), (400), (401), (404),
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | (494), (498), (506), (564), (659), (666), (723),
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | (9342), (9349), (9352), (11111), (12356), (12360),
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | (12388), (12552), (function-axioms) are
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #137.
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.12 | | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.12 | | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | | End of split
% 180.28/27.12 | | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | | End of split
% 180.28/27.12 | | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | End of split
% 180.28/27.12 | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | End of split
% 180.28/27.12 | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | End of split
% 180.28/27.12 | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | End of split
% 180.28/27.12 | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | End of split
% 180.28/27.12 | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | End of split
% 180.28/27.12 | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | End of split
% 180.28/27.12 | | | | | | | | |
% 180.28/27.12 | | | | | | | | End of split
% 180.28/27.12 | | | | | | | |
% 180.28/27.12 | | | | | | | End of split
% 180.28/27.12 | | | | | | |
% 180.28/27.12 | | | | | | End of split
% 180.28/27.12 | | | | | |
% 180.28/27.12 | | | | | End of split
% 180.28/27.12 | | | | |
% 180.28/27.12 | | | | End of split
% 180.28/27.12 | | | |
% 180.28/27.12 | | | Case 2:
% 180.28/27.12 | | | |
% 180.28/27.12 | | | | (12553) ~ (all_8_9 = e4)
% 180.28/27.12 | | | | (12554) all_8_9 = e3 | all_8_9 = e2 | all_8_9 = e1 | all_8_9 = e0
% 180.28/27.12 | | | |
% 180.28/27.12 | | | | REDUCE: (606), (12553) imply:
% 180.28/27.12 | | | | (12555) ~ (all_4_19 = e4)
% 180.28/27.12 | | | |
% 180.28/27.12 | | | | BETA: splitting (366) gives:
% 180.28/27.12 | | | |
% 180.28/27.12 | | | | Case 1:
% 180.28/27.12 | | | | |
% 180.28/27.12 | | | | | (12556) all_12_16 = e4
% 180.28/27.12 | | | | |
% 180.28/27.12 | | | | | COMBINE_EQS: (659), (12556) imply:
% 180.28/27.12 | | | | | (12557) all_4_17 = e4
% 180.28/27.12 | | | | |
% 180.28/27.12 | | | | | COMBINE_EQS: (488), (12557) imply:
% 180.28/27.12 | | | | | (12558) all_10_70 = e4
% 180.28/27.12 | | | | |
% 180.28/27.12 | | | | | REDUCE: (674), (12557) imply:
% 180.28/27.12 | | | | | (12559) ~ (all_4_0 = e4)
% 180.28/27.12 | | | | |
% 180.28/27.12 | | | | | REDUCE: (703), (12557) imply:
% 180.28/27.12 | | | | | (12560) ~ (all_4_2 = e4)
% 180.28/27.12 | | | | |
% 180.28/27.12 | | | | | REDUCE: (727), (12557) imply:
% 180.28/27.12 | | | | | (12561) ~ (all_4_5 = e4)
% 180.28/27.12 | | | | |
% 180.28/27.12 | | | | | REDUCE: (746), (12557) imply:
% 180.28/27.12 | | | | | (12562) ~ (all_4_10 = e4)
% 180.28/27.12 | | | | |
% 180.28/27.12 | | | | | REDUCE: (757), (12557) imply:
% 180.28/27.12 | | | | | (12563) ~ (all_4_19 = e4)
% 180.28/27.12 | | | | |
% 180.28/27.12 | | | | | REDUCE: (758), (12557) imply:
% 180.28/27.12 | | | | | (12564) ~ (all_4_21 = e4)
% 180.28/27.12 | | | | |
% 180.28/27.12 | | | | | SIMP: (12564) implies:
% 180.28/27.12 | | | | | (12565) ~ (all_4_21 = e4)
% 180.28/27.12 | | | | |
% 180.28/27.12 | | | | | REDUCE: (759), (12557) imply:
% 180.28/27.12 | | | | | (12566) ~ (all_4_23 = e4)
% 180.28/27.12 | | | | |
% 180.28/27.12 | | | | | SIMP: (12566) implies:
% 180.28/27.12 | | | | | (12567) ~ (all_4_23 = e4)
% 180.28/27.12 | | | | |
% 180.28/27.12 | | | | | REDUCE: (760), (12557) imply:
% 180.28/27.12 | | | | | (12568) ~ (all_4_24 = e4)
% 180.28/27.12 | | | | |
% 180.28/27.12 | | | | | REDUCE: (50), (12557) imply:
% 180.28/27.12 | | | | | (12569) op(all_4_16, e4) = e4
% 180.28/27.12 | | | | |
% 180.28/27.12 | | | | | REDUCE: (49), (12557) imply:
% 180.28/27.12 | | | | | (12570) op(e4, all_4_16) = e0
% 180.28/27.12 | | | | |
% 180.28/27.12 | | | | | REDUCE: (787), (12557) imply:
% 180.28/27.12 | | | | | (12571) op(e4, e0) = all_10_4
% 180.28/27.12 | | | | |
% 180.28/27.12 | | | | | REDUCE: (796), (12557) imply:
% 180.28/27.12 | | | | | (12572) op(e4, e4) = all_10_29
% 180.28/27.12 | | | | |
% 180.28/27.12 | | | | | REDUCE: (37), (12557) imply:
% 180.28/27.12 | | | | | (12573) op(e4, e0) = e4
% 180.28/27.12 | | | | |
% 180.28/27.12 | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_10_4, e0,
% 180.28/27.12 | | | | | e4, simplifying with (12571), (12573) gives:
% 180.28/27.12 | | | | | (12574) all_10_4 = e4
% 180.28/27.12 | | | | |
% 180.28/27.12 | | | | | GROUND_INST: instantiating (function-axioms) with all_4_0, all_10_29,
% 180.28/27.12 | | | | | e4, e4, simplifying with (41), (12572) gives:
% 180.28/27.12 | | | | | (12575) all_10_29 = all_4_0
% 180.28/27.12 | | | | |
% 180.28/27.12 | | | | | GROUND_INST: instantiating (function-axioms) with all_10_20, e4, e4,
% 180.28/27.12 | | | | | all_4_16, simplifying with (771), (12569) gives:
% 180.28/27.12 | | | | | (12576) all_10_20 = e4
% 180.28/27.12 | | | | |
% 180.28/27.12 | | | | | BETA: splitting (328) gives:
% 180.28/27.12 | | | | |
% 180.28/27.12 | | | | | Case 1:
% 180.28/27.12 | | | | | |
% 180.28/27.12 | | | | | | (12577) all_10_50 = e4
% 180.28/27.12 | | | | | |
% 180.28/27.12 | | | | | | REF_CLOSE: (508), (12559), (12577) are inconsistent by sub-proof
% 180.28/27.12 | | | | | | #631.
% 180.28/27.12 | | | | | |
% 180.28/27.12 | | | | | Case 2:
% 180.28/27.12 | | | | | |
% 180.28/27.12 | | | | | | (12578) ~ (all_10_50 = e4)
% 180.28/27.12 | | | | | | (12579) all_10_55 = e3 | all_10_60 = e2 | all_10_65 = e1 |
% 180.28/27.12 | | | | | | all_10_70 = e0
% 180.28/27.12 | | | | | |
% 180.28/27.12 | | | | | | BETA: splitting (242) gives:
% 180.28/27.12 | | | | | |
% 180.28/27.12 | | | | | | Case 1:
% 180.28/27.12 | | | | | | |
% 180.28/27.12 | | | | | | | (12580) all_8_1 = e4
% 180.28/27.12 | | | | | | |
% 180.28/27.12 | | | | | | | REF_CLOSE: (574), (12560), (12580) are inconsistent by sub-proof
% 180.28/27.12 | | | | | | | #776.
% 180.28/27.12 | | | | | | |
% 180.28/27.12 | | | | | | Case 2:
% 180.28/27.12 | | | | | | |
% 180.28/27.12 | | | | | | | (12581) ~ (all_8_1 = e4)
% 180.28/27.12 | | | | | | | (12582) all_8_1 = e3 | all_8_1 = e2 | all_8_1 = e1 | all_8_1 =
% 180.28/27.12 | | | | | | | e0
% 180.28/27.12 | | | | | | |
% 180.28/27.12 | | | | | | | BETA: splitting (243) gives:
% 180.28/27.12 | | | | | | |
% 180.28/27.12 | | | | | | | Case 1:
% 180.28/27.12 | | | | | | | |
% 180.28/27.12 | | | | | | | | (12583) all_8_0 = e4
% 180.28/27.12 | | | | | | | |
% 180.28/27.12 | | | | | | | | REF_CLOSE: (564), (12559), (12583) are inconsistent by sub-proof
% 180.28/27.12 | | | | | | | | #706.
% 180.28/27.12 | | | | | | | |
% 180.28/27.12 | | | | | | | Case 2:
% 180.28/27.12 | | | | | | | |
% 180.28/27.12 | | | | | | | | (12584) ~ (all_8_0 = e4)
% 180.28/27.12 | | | | | | | | (12585) all_8_0 = e3 | all_8_0 = e2 | all_8_0 = e1 | all_8_0
% 180.28/27.12 | | | | | | | | = e0
% 180.28/27.12 | | | | | | | |
% 180.28/27.12 | | | | | | | | BETA: splitting (241) gives:
% 180.28/27.12 | | | | | | | |
% 180.28/27.12 | | | | | | | | Case 1:
% 180.28/27.12 | | | | | | | | |
% 180.28/27.12 | | | | | | | | | (12586) all_8_2 = e4
% 180.28/27.12 | | | | | | | | |
% 180.28/27.12 | | | | | | | | | REF_CLOSE: (583), (12561), (12586) are inconsistent by
% 180.28/27.12 | | | | | | | | | sub-proof #777.
% 180.28/27.12 | | | | | | | | |
% 180.28/27.12 | | | | | | | | Case 2:
% 180.28/27.12 | | | | | | | | |
% 180.28/27.12 | | | | | | | | | (12587) ~ (all_8_2 = e4)
% 180.28/27.12 | | | | | | | | | (12588) all_8_2 = e3 | all_8_2 = e2 | all_8_2 = e1 |
% 180.28/27.12 | | | | | | | | | all_8_2 = e0
% 180.28/27.12 | | | | | | | | |
% 180.28/27.12 | | | | | | | | | BETA: splitting (329) gives:
% 180.28/27.12 | | | | | | | | |
% 180.28/27.12 | | | | | | | | | Case 1:
% 180.28/27.12 | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | (12589) all_10_50 = e4
% 180.28/27.12 | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | REF_CLOSE: (508), (12559), (12589) are inconsistent by
% 180.28/27.12 | | | | | | | | | | sub-proof #631.
% 180.28/27.12 | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | Case 2:
% 180.28/27.12 | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | (12590) all_10_51 = e3 | all_10_52 = e2 | all_10_53 = e1 |
% 180.28/27.12 | | | | | | | | | | all_10_54 = e0
% 180.28/27.12 | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | BETA: splitting (221) gives:
% 180.28/27.12 | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | Case 1:
% 180.28/27.12 | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | (12591) all_8_22 = e4
% 180.28/27.12 | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | COMBINE_EQS: (592), (12591) imply:
% 180.28/27.12 | | | | | | | | | | | (12592) all_4_20 = e4
% 180.28/27.12 | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | REDUCE: (734), (12592) imply:
% 180.28/27.12 | | | | | | | | | | | (12593) ~ (all_4_8 = e4)
% 180.28/27.12 | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | REDUCE: (737), (12592) imply:
% 180.28/27.12 | | | | | | | | | | | (12594) ~ (all_4_13 = e4)
% 180.28/27.12 | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | REDUCE: (694), (12592) imply:
% 180.28/27.12 | | | | | | | | | | | (12595) ~ (all_4_16 = e4)
% 180.28/27.12 | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | REDUCE: (719), (12592) imply:
% 180.28/27.12 | | | | | | | | | | | (12596) ~ (all_4_18 = e4)
% 180.28/27.12 | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | REDUCE: (740), (12592) imply:
% 180.28/27.12 | | | | | | | | | | | (12597) ~ (all_4_22 = e4)
% 180.28/27.12 | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | SIMP: (12597) implies:
% 180.28/27.12 | | | | | | | | | | | (12598) ~ (all_4_22 = e4)
% 180.28/27.12 | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | REDUCE: (814), (12592) imply:
% 180.28/27.12 | | | | | | | | | | | (12599) op(e0, e4) = all_10_47
% 180.28/27.12 | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_16,
% 180.28/27.12 | | | | | | | | | | | all_10_47, e4, e0, simplifying with (21), (12599)
% 180.28/27.12 | | | | | | | | | | | gives:
% 180.28/27.12 | | | | | | | | | | | (12600) all_10_47 = all_4_16
% 180.28/27.12 | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | BETA: splitting (391) gives:
% 180.28/27.12 | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | Case 1:
% 180.28/27.12 | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | (12601) all_12_2 = e4
% 180.28/27.12 | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | COMBINE_EQS: (486), (12601) imply:
% 180.28/27.12 | | | | | | | | | | | | (12602) all_4_1 = e4
% 180.28/27.12 | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | SIMP: (12602) implies:
% 180.28/27.12 | | | | | | | | | | | | (12603) all_4_1 = e4
% 180.28/27.12 | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | COMBINE_EQS: (512), (12603) imply:
% 180.28/27.12 | | | | | | | | | | | | (12604) all_10_51 = e4
% 180.28/27.12 | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | REDUCE: (678), (12603) imply:
% 180.28/27.12 | | | | | | | | | | | | (12605) ~ (all_4_3 = e4)
% 180.28/27.12 | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | SIMP: (12605) implies:
% 180.28/27.12 | | | | | | | | | | | | (12606) ~ (all_4_3 = e4)
% 180.28/27.12 | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | REDUCE: (676), (12603) imply:
% 180.28/27.12 | | | | | | | | | | | | (12607) ~ (all_4_9 = e4)
% 180.28/27.12 | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | SIMP: (12607) implies:
% 180.28/27.12 | | | | | | | | | | | | (12608) ~ (all_4_9 = e4)
% 180.28/27.12 | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | REDUCE: (677), (12603) imply:
% 180.28/27.12 | | | | | | | | | | | | (12609) ~ (all_4_16 = e4)
% 180.28/27.12 | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | REDUCE: (65), (12603) imply:
% 180.28/27.12 | | | | | | | | | | | | (12610) op(e4, all_4_2) = e4
% 180.28/27.12 | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | REDUCE: (768), (12603) imply:
% 180.28/27.12 | | | | | | | | | | | | (12611) op(e4, e4) = all_10_5
% 180.28/27.12 | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | REDUCE: (64), (12603) imply:
% 180.28/27.12 | | | | | | | | | | | | (12612) op(all_4_2, e4) = e3
% 180.28/27.12 | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_0,
% 180.28/27.12 | | | | | | | | | | | | all_10_5, e4, e4, simplifying with (41), (12611)
% 180.28/27.12 | | | | | | | | | | | | gives:
% 180.28/27.12 | | | | | | | | | | | | (12613) all_10_5 = all_4_0
% 180.28/27.12 | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_26,
% 180.28/27.12 | | | | | | | | | | | | e4, all_4_2, e4, simplifying with (793), (12610)
% 180.28/27.12 | | | | | | | | | | | | gives:
% 180.28/27.12 | | | | | | | | | | | | (12614) all_10_26 = e4
% 180.28/27.12 | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | BETA: splitting (371) gives:
% 180.28/27.12 | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | Case 1:
% 180.28/27.12 | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | (12615) all_12_12 = e4
% 180.28/27.12 | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | REF_CLOSE: (446), (12608), (12615) are inconsistent by
% 180.28/27.12 | | | | | | | | | | | | | sub-proof #613.
% 180.28/27.12 | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | Case 2:
% 180.28/27.12 | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | (12616) all_12_13 = e4 | all_12_14 = e4 | all_12_15 = e4 |
% 180.28/27.12 | | | | | | | | | | | | | all_12_19 = e4
% 180.28/27.12 | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | BETA: splitting (396) gives:
% 180.28/27.12 | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | Case 1:
% 180.28/27.12 | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | (12617) all_12_1 = e4
% 180.28/27.12 | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | COMBINE_EQS: (666), (12617) imply:
% 180.28/27.12 | | | | | | | | | | | | | | (12618) all_4_2 = e4
% 180.28/27.12 | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | REDUCE: (12560), (12618) imply:
% 180.28/27.12 | | | | | | | | | | | | | | (12619) $false
% 180.28/27.12 | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | CLOSE: (12619) is inconsistent.
% 180.28/27.12 | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | Case 2:
% 180.28/27.12 | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | (12620) all_12_3 = e4 | all_12_7 = e4 | all_12_13 = e4 |
% 180.28/27.12 | | | | | | | | | | | | | | all_12_21 = e4
% 180.28/27.12 | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 180.28/27.12 | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | Case 1:
% 180.28/27.12 | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | (12621) all_8_16 = e4
% 180.28/27.12 | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | REF_CLOSE: (17), (23), (29), (35), (66), (400), (401), (404),
% 180.28/27.12 | | | | | | | | | | | | | | | (506), (564), (580), (705), (717), (9342),
% 180.28/27.12 | | | | | | | | | | | | | | | (12585), (12593), (12621), (function-axioms) are
% 180.28/27.12 | | | | | | | | | | | | | | | inconsistent by sub-proof #136.
% 180.28/27.12 | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | Case 2:
% 180.28/27.12 | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | (12622) ~ (all_8_16 = e4)
% 180.28/27.12 | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | REDUCE: (580), (12622) imply:
% 180.28/27.12 | | | | | | | | | | | | | | | (12623) ~ (all_4_11 = e4)
% 180.28/27.12 | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | | REF_CLOSE: (5), (11), (21), (29), (40), (41), (51), (62),
% 180.28/27.12 | | | | | | | | | | | | | | | (395), (398), (424), (430), (462), (463), (482),
% 180.28/27.12 | | | | | | | | | | | | | | | (500), (506), (516), (528), (534), (574), (656),
% 180.28/27.12 | | | | | | | | | | | | | | | (660), (661), (662), (666), (669), (671), (673),
% 180.28/27.12 | | | | | | | | | | | | | | | (698), (701), (710), (712), (774), (777), (12558),
% 180.28/27.12 | | | | | | | | | | | | | | | (12567), (12579), (12582), (12590), (12594),
% 180.28/27.12 | | | | | | | | | | | | | | | (12595), (12596), (12604), (12606), (12610),
% 180.28/27.12 | | | | | | | | | | | | | | | (12612), (12616), (12620), (12623),
% 180.28/27.12 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.28/27.12 | | | | | | | | | | | | | | | #590.
% 180.28/27.12 | | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | End of split
% 180.28/27.12 | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | End of split
% 180.28/27.12 | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | End of split
% 180.28/27.12 | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | Case 2:
% 180.28/27.12 | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | (12624) ~ (all_12_2 = e4)
% 180.28/27.12 | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | REDUCE: (486), (12624) imply:
% 180.28/27.12 | | | | | | | | | | | | (12625) ~ (all_4_1 = e4)
% 180.28/27.12 | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | BETA: splitting (405) gives:
% 180.28/27.12 | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | Case 1:
% 180.28/27.12 | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | (12626) all_12_0 = e4
% 180.28/27.12 | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | COMBINE_EQS: (506), (12626) imply:
% 180.28/27.12 | | | | | | | | | | | | | (12627) all_4_0 = e4
% 180.28/27.12 | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | REDUCE: (12559), (12627) imply:
% 180.28/27.12 | | | | | | | | | | | | | (12628) $false
% 180.28/27.12 | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | CLOSE: (12628) is inconsistent.
% 180.28/27.12 | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | Case 2:
% 180.28/27.12 | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | (12629) all_12_2 = e4 | all_12_6 = e4 | all_12_12 = e4 |
% 180.28/27.12 | | | | | | | | | | | | | all_12_20 = e4
% 180.28/27.12 | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | BETA: splitting (371) gives:
% 180.28/27.12 | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | Case 1:
% 180.28/27.12 | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | (12630) all_12_12 = e4
% 180.28/27.12 | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | COMBINE_EQS: (446), (12630) imply:
% 180.28/27.12 | | | | | | | | | | | | | | (12631) all_4_9 = e4
% 180.28/27.12 | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | SIMP: (12631) implies:
% 180.28/27.12 | | | | | | | | | | | | | | (12632) all_4_9 = e4
% 180.28/27.12 | | | | | | | | | | | | | |
% 180.28/27.12 | | | | | | | | | | | | | | COMBINE_EQS: (534), (12632) imply:
% 180.28/27.13 | | | | | | | | | | | | | | (12633) all_10_53 = e4
% 180.28/27.13 | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | REDUCE: (689), (12632) imply:
% 180.28/27.13 | | | | | | | | | | | | | | (12634) ~ (all_4_11 = e4)
% 180.28/27.13 | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | SIMP: (12634) implies:
% 180.28/27.13 | | | | | | | | | | | | | | (12635) ~ (all_4_11 = e4)
% 180.28/27.13 | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | REDUCE: (691), (12632) imply:
% 180.28/27.13 | | | | | | | | | | | | | | (12636) ~ (all_4_15 = e4)
% 180.28/27.13 | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | SIMP: (12636) implies:
% 180.28/27.13 | | | | | | | | | | | | | | (12637) ~ (all_4_15 = e4)
% 180.28/27.13 | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | REDUCE: (688), (12632) imply:
% 180.28/27.13 | | | | | | | | | | | | | | (12638) ~ (all_4_16 = e4)
% 180.28/27.13 | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | REDUCE: (57), (12632) imply:
% 180.28/27.13 | | | | | | | | | | | | | | (12639) op(e4, all_4_10) = e4
% 180.28/27.13 | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | REDUCE: (770), (12632) imply:
% 180.28/27.13 | | | | | | | | | | | | | | (12640) op(e4, e4) = all_10_15
% 180.28/27.13 | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_0,
% 180.28/27.13 | | | | | | | | | | | | | | all_10_15, e4, e4, simplifying with (41), (12640)
% 180.28/27.13 | | | | | | | | | | | | | | gives:
% 180.28/27.13 | | | | | | | | | | | | | | (12641) all_10_15 = all_4_0
% 180.28/27.13 | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_28,
% 180.28/27.13 | | | | | | | | | | | | | | e4, all_4_10, e4, simplifying with (795), (12639)
% 180.28/27.13 | | | | | | | | | | | | | | gives:
% 180.28/27.13 | | | | | | | | | | | | | | (12642) all_10_28 = e4
% 180.28/27.13 | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | BETA: splitting (396) gives:
% 180.28/27.13 | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | Case 1:
% 180.28/27.13 | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | (12643) all_12_1 = e4
% 180.28/27.13 | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | COMBINE_EQS: (666), (12643) imply:
% 180.28/27.13 | | | | | | | | | | | | | | | (12644) all_4_2 = e4
% 180.28/27.13 | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | REDUCE: (12560), (12644) imply:
% 180.28/27.13 | | | | | | | | | | | | | | | (12645) $false
% 180.28/27.13 | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | CLOSE: (12645) is inconsistent.
% 180.28/27.13 | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | Case 2:
% 180.28/27.13 | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | (12646) all_12_3 = e4 | all_12_7 = e4 | all_12_13 = e4 |
% 180.28/27.13 | | | | | | | | | | | | | | | all_12_21 = e4
% 180.28/27.13 | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | BETA: splitting (376) gives:
% 180.28/27.13 | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | Case 1:
% 180.28/27.13 | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | (12647) all_12_9 = e4
% 180.28/27.13 | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | REF_CLOSE: (494), (12562), (12647) are inconsistent by
% 180.28/27.13 | | | | | | | | | | | | | | | | sub-proof #506.
% 180.28/27.13 | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | Case 2:
% 180.28/27.13 | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | (12648) all_12_10 = e4 | all_12_11 = e4 | all_12_15 = e4 |
% 180.28/27.13 | | | | | | | | | | | | | | | | all_12_23 = e4
% 180.28/27.13 | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 180.28/27.13 | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.13 | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | (12649) all_8_6 = e4
% 180.28/27.13 | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | COMBINE_EQS: (576), (12649) imply:
% 180.28/27.13 | | | | | | | | | | | | | | | | | (12650) all_4_3 = e4
% 180.28/27.13 | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | SIMP: (12650) implies:
% 180.28/27.13 | | | | | | | | | | | | | | | | | (12651) all_4_3 = e4
% 180.28/27.13 | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | REDUCE: (708), (12651) imply:
% 180.28/27.13 | | | | | | | | | | | | | | | | | (12652) ~ (all_4_12 = e4)
% 180.28/27.13 | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | SIMP: (12652) implies:
% 180.28/27.13 | | | | | | | | | | | | | | | | | (12653) ~ (all_4_12 = e4)
% 180.28/27.13 | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | REDUCE: (63), (12651) imply:
% 180.28/27.13 | | | | | | | | | | | | | | | | | (12654) op(e4, e4) = e3
% 180.28/27.13 | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | BETA: splitting (12648) gives:
% 180.28/27.13 | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.13 | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | (12655) all_12_10 = e4
% 180.28/27.13 | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | REF_CLOSE: (663), (12653), (12655) are inconsistent by
% 180.28/27.13 | | | | | | | | | | | | | | | | | | sub-proof #628.
% 180.28/27.13 | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.13 | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | (12656) all_12_11 = e4 | all_12_15 = e4 | all_12_23 = e4
% 180.28/27.13 | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | BETA: splitting (12656) gives:
% 180.28/27.13 | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.13 | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | (12657) all_12_11 = e4
% 180.28/27.13 | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (454), (12657) imply:
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | (12658) all_4_14 = e4
% 180.28/27.13 | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | SIMP: (12658) implies:
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | (12659) all_4_14 = e4
% 180.28/27.13 | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | REDUCE: (784), (12659) imply:
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | (12660) op(e4, e1) = all_10_13
% 180.28/27.13 | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_10,
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | all_10_13, e1, e4, simplifying with (38), (12660)
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | gives:
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | (12661) all_10_13 = all_4_10
% 180.28/27.13 | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_0, e3,
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | e4, e4, simplifying with (41), (12654) gives:
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | (12662) all_4_0 = e3
% 180.28/27.13 | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | REDUCE: (667), (12662) imply:
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | (12663) ~ (all_4_1 = e3)
% 180.28/27.13 | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | SIMP: (12663) implies:
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | (12664) ~ (all_4_1 = e3)
% 180.28/27.13 | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | REDUCE: (671), (12662) imply:
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | (12665) ~ (all_4_2 = e3)
% 180.28/27.13 | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | SIMP: (12665) implies:
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | (12666) ~ (all_4_2 = e3)
% 180.28/27.13 | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (12), (29), (38), (62), (379), (384), (424),
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | (463), (498), (500), (512), (516), (528), (665),
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | (777), (12558), (12562), (12570), (12573),
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | (12579), (12590), (12593), (12595), (12633),
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | (12639), (12664), (12666), (function-axioms) are
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #581.
% 180.28/27.13 | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.13 | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | (12667) all_12_15 = e4 | all_12_23 = e4
% 180.28/27.13 | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (414), (660), (12598), (12637), (12667) are
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #459.
% 180.28/27.13 | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.13 | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | End of split
% 180.28/27.13 | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.13 | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | (12668) ~ (all_8_6 = e4)
% 180.28/27.13 | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | REDUCE: (576), (12668) imply:
% 180.28/27.13 | | | | | | | | | | | | | | | | | (12669) ~ (all_4_3 = e4)
% 180.28/27.13 | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (23), (29), (35), (66), (400), (401), (404),
% 180.28/27.13 | | | | | | | | | | | | | | | | | (462), (482), (506), (564), (656), (662), (704),
% 180.28/27.13 | | | | | | | | | | | | | | | | | (712), (9342), (12585), (12596), (12635), (12637),
% 180.28/27.13 | | | | | | | | | | | | | | | | | (12646), (12669), (function-axioms) are
% 180.28/27.13 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #135.
% 180.28/27.13 | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | End of split
% 180.28/27.13 | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | End of split
% 180.28/27.13 | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | End of split
% 180.28/27.13 | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | Case 2:
% 180.28/27.13 | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | (12670) ~ (all_12_12 = e4)
% 180.28/27.13 | | | | | | | | | | | | | | (12671) all_12_13 = e4 | all_12_14 = e4 | all_12_15 = e4 |
% 180.28/27.13 | | | | | | | | | | | | | | all_12_19 = e4
% 180.28/27.13 | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | REDUCE: (446), (12670) imply:
% 180.28/27.13 | | | | | | | | | | | | | | (12672) ~ (all_4_9 = e4)
% 180.28/27.13 | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | BETA: splitting (12629) gives:
% 180.28/27.13 | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | Case 1:
% 180.28/27.13 | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | (12673) all_12_2 = e4
% 180.28/27.13 | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | REF_CLOSE: (486), (12625), (12673) are inconsistent by
% 180.28/27.13 | | | | | | | | | | | | | | | sub-proof #695.
% 180.28/27.13 | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | Case 2:
% 180.28/27.13 | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | (12674) all_12_6 = e4 | all_12_12 = e4 | all_12_20 = e4
% 180.28/27.13 | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | BETA: splitting (12674) gives:
% 180.28/27.13 | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | Case 1:
% 180.28/27.13 | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | (12675) all_12_6 = e4
% 180.28/27.13 | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (12675) imply:
% 180.28/27.13 | | | | | | | | | | | | | | | | (12676) all_4_4 = e4
% 180.28/27.13 | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | SIMP: (12676) implies:
% 180.28/27.13 | | | | | | | | | | | | | | | | (12677) all_4_4 = e4
% 180.28/27.13 | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | REDUCE: (684), (12677) imply:
% 180.28/27.13 | | | | | | | | | | | | | | | | (12678) ~ (all_4_6 = e4)
% 180.28/27.13 | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | SIMP: (12678) implies:
% 180.28/27.13 | | | | | | | | | | | | | | | | (12679) ~ (all_4_6 = e4)
% 180.28/27.13 | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | REDUCE: (683), (12677) imply:
% 180.28/27.13 | | | | | | | | | | | | | | | | (12680) ~ (all_4_16 = e4)
% 180.28/27.13 | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | REDUCE: (769), (12677) imply:
% 180.28/27.13 | | | | | | | | | | | | | | | | (12681) op(e4, e4) = all_10_10
% 180.28/27.13 | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_0,
% 180.28/27.13 | | | | | | | | | | | | | | | | all_10_10, e4, e4, simplifying with (41), (12681)
% 180.28/27.13 | | | | | | | | | | | | | | | | gives:
% 180.28/27.13 | | | | | | | | | | | | | | | | (12682) all_10_10 = all_4_0
% 180.28/27.13 | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | BETA: splitting (396) gives:
% 180.28/27.13 | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.13 | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | (12683) all_12_1 = e4
% 180.28/27.13 | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (12683) imply:
% 180.28/27.13 | | | | | | | | | | | | | | | | | (12684) all_4_2 = e4
% 180.28/27.13 | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | REDUCE: (12560), (12684) imply:
% 180.28/27.13 | | | | | | | | | | | | | | | | | (12685) $false
% 180.28/27.13 | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | CLOSE: (12685) is inconsistent.
% 180.28/27.13 | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.13 | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | (12686) all_12_3 = e4 | all_12_7 = e4 | all_12_13 = e4 |
% 180.28/27.13 | | | | | | | | | | | | | | | | | all_12_21 = e4
% 180.28/27.13 | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | BETA: splitting (12671) gives:
% 180.28/27.13 | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.13 | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | (12687) all_12_13 = e4
% 180.28/27.13 | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (662), (12687) imply:
% 180.28/27.13 | | | | | | | | | | | | | | | | | | (12688) all_4_11 = e4
% 180.28/27.13 | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | SIMP: (12688) implies:
% 180.28/27.13 | | | | | | | | | | | | | | | | | | (12689) all_4_11 = e4
% 180.28/27.13 | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | REDUCE: (705), (12689) imply:
% 180.28/27.13 | | | | | | | | | | | | | | | | | | (12690) ~ (all_4_3 = e4)
% 180.28/27.13 | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | REDUCE: (717), (12689) imply:
% 180.28/27.13 | | | | | | | | | | | | | | | | | | (12691) ~ (all_4_15 = e4)
% 180.28/27.13 | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | SIMP: (12691) implies:
% 180.28/27.13 | | | | | | | | | | | | | | | | | | (12692) ~ (all_4_15 = e4)
% 180.28/27.13 | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (23), (29), (35), (66), (400), (401), (404),
% 180.28/27.13 | | | | | | | | | | | | | | | | | | (446), (486), (506), (564), (657), (665), (685),
% 180.28/27.13 | | | | | | | | | | | | | | | | | | (9342), (12585), (12595), (12625), (12629),
% 180.28/27.13 | | | | | | | | | | | | | | | | | | (12672), (12690), (12692), (function-axioms) are
% 180.28/27.13 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #141.
% 180.28/27.13 | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.13 | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | (12693) ~ (all_12_13 = e4)
% 180.28/27.13 | | | | | | | | | | | | | | | | | | (12694) all_12_14 = e4 | all_12_15 = e4 | all_12_19 = e4
% 180.28/27.13 | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | REDUCE: (662), (12693) imply:
% 180.28/27.13 | | | | | | | | | | | | | | | | | | (12695) ~ (all_4_11 = e4)
% 180.28/27.13 | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (41), (51), (63), (430), (462), (482), (656),
% 180.28/27.13 | | | | | | | | | | | | | | | | | | (660), (661), (662), (12567), (12594), (12596),
% 180.28/27.13 | | | | | | | | | | | | | | | | | | (12679), (12686), (12694), (12695),
% 180.28/27.13 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.28/27.13 | | | | | | | | | | | | | | | | | | #143.
% 180.28/27.13 | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | End of split
% 180.28/27.13 | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | End of split
% 180.28/27.13 | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | Case 2:
% 180.28/27.13 | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | (12696) all_12_12 = e4 | all_12_20 = e4
% 180.28/27.13 | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | REF_CLOSE: (446), (657), (12595), (12672), (12696) are
% 180.28/27.13 | | | | | | | | | | | | | | | | inconsistent by sub-proof #571.
% 180.28/27.13 | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | End of split
% 180.28/27.13 | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | End of split
% 180.28/27.13 | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | End of split
% 180.28/27.13 | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | End of split
% 180.28/27.13 | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | End of split
% 180.28/27.13 | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | Case 2:
% 180.28/27.13 | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | (12697) ~ (all_8_22 = e4)
% 180.28/27.13 | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | REDUCE: (592), (12697) imply:
% 180.28/27.13 | | | | | | | | | | | (12698) ~ (all_4_20 = e4)
% 180.28/27.13 | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | BETA: splitting (386) gives:
% 180.28/27.13 | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | Case 1:
% 180.28/27.13 | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | (12699) all_12_4 = e4
% 180.28/27.13 | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | REF_CLOSE: (498), (12561), (12699) are inconsistent by
% 180.28/27.13 | | | | | | | | | | | | sub-proof #686.
% 180.28/27.13 | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | Case 2:
% 180.28/27.13 | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | (12700) all_12_5 = e4 | all_12_8 = e4 | all_12_14 = e4 |
% 180.28/27.13 | | | | | | | | | | | | all_12_22 = e4
% 180.28/27.13 | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | BETA: splitting (362) gives:
% 180.28/27.13 | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | Case 1:
% 180.28/27.13 | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | (12701) all_12_20 = e4
% 180.28/27.13 | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | COMBINE_EQS: (657), (12701) imply:
% 180.28/27.13 | | | | | | | | | | | | | (12702) all_4_16 = e4
% 180.28/27.13 | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | SIMP: (12702) implies:
% 180.28/27.13 | | | | | | | | | | | | | (12703) all_4_16 = e4
% 180.28/27.13 | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | REDUCE: (12569), (12703) imply:
% 180.28/27.13 | | | | | | | | | | | | | (12704) op(e4, e4) = e4
% 180.28/27.13 | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | REDUCE: (12570), (12703) imply:
% 180.28/27.13 | | | | | | | | | | | | | (12705) op(e4, e4) = e0
% 180.28/27.13 | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | REF_CLOSE: (11), (41), (12704), (12705), (function-axioms)
% 180.28/27.13 | | | | | | | | | | | | | are inconsistent by sub-proof #367.
% 180.28/27.13 | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | Case 2:
% 180.28/27.13 | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | (12706) ~ (all_12_20 = e4)
% 180.28/27.13 | | | | | | | | | | | | | (12707) all_12_21 = e4 | all_12_22 = e4 | all_12_23 = e4 |
% 180.28/27.13 | | | | | | | | | | | | | all_12_24 = e4
% 180.28/27.13 | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | REDUCE: (657), (12706) imply:
% 180.28/27.13 | | | | | | | | | | | | | (12708) ~ (all_4_16 = e4)
% 180.28/27.13 | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | BETA: splitting (324) gives:
% 180.28/27.13 | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | Case 1:
% 180.28/27.13 | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | (12709) all_10_54 = e4
% 180.28/27.13 | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | REF_CLOSE: (424), (12708), (12709) are inconsistent by
% 180.28/27.13 | | | | | | | | | | | | | | sub-proof #198.
% 180.28/27.13 | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | Case 2:
% 180.28/27.13 | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | (12710) ~ (all_10_54 = e4)
% 180.28/27.13 | | | | | | | | | | | | | | (12711) all_10_59 = e3 | all_10_64 = e2 | all_10_69 = e1 |
% 180.28/27.13 | | | | | | | | | | | | | | all_10_74 = e0
% 180.28/27.13 | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 180.28/27.13 | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | Case 1:
% 180.28/27.13 | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | (12712) all_8_20 = e4
% 180.28/27.13 | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | REF_CLOSE: (572), (12708), (12712) are inconsistent by
% 180.28/27.13 | | | | | | | | | | | | | | | sub-proof #313.
% 180.28/27.13 | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | Case 2:
% 180.28/27.13 | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | (12713) ~ (all_8_20 = e4)
% 180.28/27.13 | | | | | | | | | | | | | | | (12714) all_8_20 = e3 | all_8_20 = e2 | all_8_20 = e1 |
% 180.28/27.13 | | | | | | | | | | | | | | | all_8_20 = e0
% 180.28/27.13 | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | BETA: splitting (405) gives:
% 180.28/27.13 | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | Case 1:
% 180.28/27.13 | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | (12715) all_12_0 = e4
% 180.28/27.13 | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (12715) imply:
% 180.28/27.13 | | | | | | | | | | | | | | | | (12716) all_4_0 = e4
% 180.28/27.13 | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | REDUCE: (12559), (12716) imply:
% 180.28/27.13 | | | | | | | | | | | | | | | | (12717) $false
% 180.28/27.13 | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | CLOSE: (12717) is inconsistent.
% 180.28/27.13 | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | Case 2:
% 180.28/27.13 | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | (12718) all_12_2 = e4 | all_12_6 = e4 | all_12_12 = e4 |
% 180.28/27.13 | | | | | | | | | | | | | | | | all_12_20 = e4
% 180.28/27.13 | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 180.28/27.13 | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.13 | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | (12719) all_8_8 = e4
% 180.28/27.13 | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | COMBINE_EQS: (595), (12719) imply:
% 180.28/27.13 | | | | | | | | | | | | | | | | | (12720) all_4_12 = e4
% 180.28/27.13 | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | SIMP: (12720) implies:
% 180.28/27.13 | | | | | | | | | | | | | | | | | (12721) all_4_12 = e4
% 180.28/27.13 | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | REDUCE: (747), (12721) imply:
% 180.28/27.13 | | | | | | | | | | | | | | | | | (12722) ~ (all_4_14 = e4)
% 180.28/27.13 | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | SIMP: (12722) implies:
% 180.28/27.13 | | | | | | | | | | | | | | | | | (12723) ~ (all_4_14 = e4)
% 180.28/27.13 | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | REDUCE: (748), (12721) imply:
% 180.28/27.13 | | | | | | | | | | | | | | | | | (12724) ~ (all_4_15 = e4)
% 180.28/27.13 | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | SIMP: (12724) implies:
% 180.28/27.13 | | | | | | | | | | | | | | | | | (12725) ~ (all_4_15 = e4)
% 180.28/27.13 | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | REDUCE: (749), (12721) imply:
% 180.28/27.13 | | | | | | | | | | | | | | | | | (12726) ~ (all_4_22 = e4)
% 180.28/27.13 | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | SIMP: (12726) implies:
% 180.28/27.13 | | | | | | | | | | | | | | | | | (12727) ~ (all_4_22 = e4)
% 180.28/27.13 | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | REDUCE: (783), (12721) imply:
% 180.28/27.13 | | | | | | | | | | | | | | | | | (12728) op(e4, e1) = all_10_8
% 180.28/27.13 | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | BETA: splitting (12707) gives:
% 180.28/27.13 | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.13 | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | (12729) all_12_21 = e4
% 180.28/27.13 | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (656), (12729) imply:
% 180.28/27.13 | | | | | | | | | | | | | | | | | | (12730) all_4_18 = e4
% 180.28/27.13 | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | SIMP: (12730) implies:
% 180.28/27.13 | | | | | | | | | | | | | | | | | | (12731) all_4_18 = e4
% 180.28/27.13 | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | REDUCE: (706), (12731) imply:
% 180.28/27.13 | | | | | | | | | | | | | | | | | | (12732) ~ (all_4_3 = e4)
% 180.28/27.13 | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | REDUCE: (711), (12731) imply:
% 180.28/27.13 | | | | | | | | | | | | | | | | | | (12733) ~ (all_4_6 = e4)
% 180.28/27.13 | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | REDUCE: (715), (12731) imply:
% 180.28/27.13 | | | | | | | | | | | | | | | | | | (12734) ~ (all_4_11 = e4)
% 180.28/27.13 | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_10,
% 180.28/27.13 | | | | | | | | | | | | | | | | | | all_10_8, e1, e4, simplifying with (38), (12728)
% 180.28/27.13 | | | | | | | | | | | | | | | | | | gives:
% 180.28/27.13 | | | | | | | | | | | | | | | | | | (12735) all_10_8 = all_4_10
% 180.28/27.13 | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | BETA: splitting (371) gives:
% 180.28/27.13 | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.13 | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | (12736) all_12_12 = e4
% 180.28/27.13 | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (12736) imply:
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | (12737) all_4_9 = e4
% 180.28/27.13 | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | SIMP: (12737) implies:
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | (12738) all_4_9 = e4
% 180.28/27.13 | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (534), (12738) imply:
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | (12739) all_10_53 = e4
% 180.28/27.13 | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | REDUCE: (682), (12738) imply:
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | (12740) ~ (all_4_4 = e4)
% 180.28/27.13 | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | REDUCE: (688), (12738) imply:
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | (12741) ~ (all_4_16 = e4)
% 180.28/27.13 | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | REDUCE: (57), (12738) imply:
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | (12742) op(e4, all_4_10) = e4
% 180.28/27.13 | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | REDUCE: (770), (12738) imply:
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | (12743) op(e4, e4) = all_10_15
% 180.28/27.13 | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | BETA: splitting (381) gives:
% 180.28/27.13 | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | (12744) all_12_6 = e4
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (665), (12740), (12744) are inconsistent by
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | sub-proof #780.
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | (12745) all_12_7 = e4 | all_12_8 = e4 | all_12_11 = e4 |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | all_12_18 = e4
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | BETA: splitting (12745) gives:
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | (12746) all_12_7 = e4
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (462), (12746) imply:
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | (12747) all_4_6 = e4
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | REDUCE: (12733), (12747) imply:
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | (12748) $false
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | CLOSE: (12748) is inconsistent.
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | (12749) all_12_8 = e4 | all_12_11 = e4 | all_12_18 = e4
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12749) gives:
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | | (12750) all_12_8 = e4
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (664), (12750) imply:
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | | (12751) all_4_8 = e4
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (58), (12751) imply:
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | | (12752) op(e4, e4) = e2
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_0,
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | | all_10_15, e4, e4, simplifying with (41), (12743)
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | | gives:
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | | (12753) all_10_15 = all_4_0
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | | all_10_15, e4, e4, simplifying with (12743),
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | | (12752) gives:
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | | (12754) all_10_15 = e2
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_28,
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | | e4, all_4_10, e4, simplifying with (795), (12742)
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | | gives:
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | | (12755) all_10_28 = e4
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12753), (12754) imply:
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | | (12756) all_4_0 = e2
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | | SIMP: (12756) implies:
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | | (12757) all_4_0 = e2
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (668), (12757) imply:
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | | (12758) ~ (all_4_4 = e2)
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | | SIMP: (12758) implies:
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | | (12759) ~ (all_4_4 = e2)
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (672), (12757) imply:
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | | (12760) ~ (all_4_5 = e2)
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | | SIMP: (12760) implies:
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | | (12761) ~ (all_4_5 = e2)
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (395) gives:
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | | | (12762) all_12_1 = e3
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (12762) imply:
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | | | (12763) all_4_2 = e3
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (65), (12763) imply:
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | | | (12764) op(all_4_1, e3) = e4
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (772), (12763) imply:
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | | | (12765) op(e3, e3) = all_10_1
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_3,
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | | | all_10_1, e3, e3, simplifying with (35), (12765)
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | | | (12766) all_10_1 = all_4_3
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (35), (390), (424), (463), (486), (512),
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | | | (12570), (12573), (12590), (12708), (12732),
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | | | (12739), (12759), (12764), (function-axioms) are
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #446.
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | | | (12767) ~ (all_12_1 = e3)
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (666), (12767) imply:
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | | | (12768) ~ (all_4_2 = e3)
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (38), (500), (516), (528), (12558), (12562),
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | | | (12579), (12742), (12761), (12768),
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | | | #582.
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | | (12769) all_12_11 = e4 | all_12_18 = e4
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (454), (658), (12565), (12723), (12769) are
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #772.
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.13 | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.13 | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | (12770) all_12_13 = e4 | all_12_14 = e4 | all_12_15 = e4 |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | all_12_19 = e4
% 180.28/27.13 | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | BETA: splitting (12770) gives:
% 180.28/27.13 | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | (12771) all_12_13 = e4
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (662), (12734), (12771) are inconsistent by
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | sub-proof #604.
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | (12772) all_12_14 = e4 | all_12_15 = e4 | all_12_19 = e4
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (23), (29), (35), (66), (400), (401), (404),
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | (430), (506), (564), (660), (661), (733), (738),
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | (9342), (12567), (12585), (12725), (12732),
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | (12772), (function-axioms) are inconsistent by
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | | sub-proof #282.
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.13 | | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.13 | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.13 | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | (12773) all_12_22 = e4 | all_12_23 = e4 | all_12_24 = e4
% 180.28/27.13 | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | | REF_CLOSE: (410), (414), (655), (9342), (12698), (12727),
% 180.28/27.13 | | | | | | | | | | | | | | | | | | (12773) are inconsistent by sub-proof #134.
% 180.28/27.13 | | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | End of split
% 180.28/27.13 | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.13 | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | (12774) ~ (all_8_8 = e4)
% 180.28/27.13 | | | | | | | | | | | | | | | | |
% 180.28/27.13 | | | | | | | | | | | | | | | | | REDUCE: (595), (12774) imply:
% 180.28/27.13 | | | | | | | | | | | | | | | | | (12775) ~ (all_4_12 = e4)
% 180.28/27.13 | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | BETA: splitting (391) gives:
% 180.28/27.14 | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.14 | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | (12776) all_12_2 = e4
% 180.28/27.14 | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (12776) imply:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | (12777) all_4_1 = e4
% 180.28/27.14 | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | SIMP: (12777) implies:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | (12778) all_4_1 = e4
% 180.28/27.14 | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (512), (12778) imply:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | (12779) all_10_51 = e4
% 180.28/27.14 | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | REDUCE: (678), (12778) imply:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | (12780) ~ (all_4_3 = e4)
% 180.28/27.14 | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | SIMP: (12780) implies:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | (12781) ~ (all_4_3 = e4)
% 180.28/27.14 | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | REDUCE: (675), (12778) imply:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | (12782) ~ (all_4_4 = e4)
% 180.28/27.14 | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | SIMP: (12782) implies:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | (12783) ~ (all_4_4 = e4)
% 180.28/27.14 | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | REDUCE: (679), (12778) imply:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | (12784) ~ (all_4_7 = e4)
% 180.28/27.14 | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | SIMP: (12784) implies:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | (12785) ~ (all_4_7 = e4)
% 180.28/27.14 | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | REDUCE: (676), (12778) imply:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | (12786) ~ (all_4_9 = e4)
% 180.28/27.14 | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | SIMP: (12786) implies:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | (12787) ~ (all_4_9 = e4)
% 180.28/27.14 | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | REDUCE: (65), (12778) imply:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | (12788) op(e4, all_4_2) = e4
% 180.28/27.14 | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | REDUCE: (768), (12778) imply:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | (12789) op(e4, e4) = all_10_5
% 180.28/27.14 | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_0,
% 180.28/27.14 | | | | | | | | | | | | | | | | | | all_10_5, e4, e4, simplifying with (41), (12789)
% 180.28/27.14 | | | | | | | | | | | | | | | | | | gives:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | (12790) all_10_5 = all_4_0
% 180.28/27.14 | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_26,
% 180.28/27.14 | | | | | | | | | | | | | | | | | | e4, all_4_2, e4, simplifying with (793), (12788)
% 180.28/27.14 | | | | | | | | | | | | | | | | | | gives:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | (12791) all_10_26 = e4
% 180.28/27.14 | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 180.28/27.14 | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | (12792) all_8_10 = e4
% 180.28/27.14 | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (568), (12783), (12792) are inconsistent by
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | sub-proof #781.
% 180.28/27.14 | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | (12793) ~ (all_8_10 = e4)
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | (12794) all_8_10 = e3 | all_8_10 = e2 | all_8_10 = e1 |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | all_8_10 = e0
% 180.28/27.14 | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | BETA: splitting (396) gives:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | (12795) all_12_1 = e4
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (12795) imply:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | (12796) all_4_2 = e4
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | REDUCE: (12560), (12796) imply:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | (12797) $false
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | CLOSE: (12797) is inconsistent.
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | (12798) all_12_3 = e4 | all_12_7 = e4 | all_12_13 = e4 |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | all_12_21 = e4
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | BETA: splitting (381) gives:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | (12799) all_12_6 = e4
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (665), (12783), (12799) are inconsistent by
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | sub-proof #780.
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | (12800) all_12_7 = e4 | all_12_8 = e4 | all_12_11 = e4 |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | all_12_18 = e4
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (371) gives:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | (12801) all_12_12 = e4
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (12787), (12801) are inconsistent by
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | sub-proof #613.
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | (12802) all_12_13 = e4 | all_12_14 = e4 | all_12_15 = e4 |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | all_12_19 = e4
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | (12803) all_8_21 = e4
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (582), (12803) imply:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | (12804) all_4_18 = e4
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12804) implies:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | (12805) all_4_18 = e4
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (711), (12805) imply:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | (12806) ~ (all_4_6 = e4)
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (12805) imply:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | (12807) ~ (all_4_11 = e4)
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (17), (23), (29), (35), (41), (51), (58),
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | (66), (225), (400), (401), (404), (430), (454),
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | (462), (506), (564), (600), (658), (660), (661),
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | (662), (664), (733), (738), (751), (9342),
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | (12565), (12567), (12585), (12781), (12800),
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | (12802), (12806), (12807), (function-axioms) are
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #182.
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | (12808) ~ (all_8_21 = e4)
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (582), (12808) imply:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | (12809) ~ (all_4_18 = e4)
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12707) gives:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | (12810) all_12_21 = e4
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (656), (12809), (12810) are inconsistent by
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #592.
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | (12811) all_12_22 = e4 | all_12_23 = e4 | all_12_24 = e4
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12811) gives:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | (12812) all_12_22 = e4
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (655), (12698), (12812) are inconsistent by
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #640.
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | (12813) all_12_23 = e4 | all_12_24 = e4
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12813) gives:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (12814) all_12_23 = e4
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (414), (12814) imply:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (12815) all_4_22 = e4
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12815) implies:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (12816) all_4_22 = e4
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (560), (12816) imply:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (12817) all_10_69 = e4
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (754), (12816) imply:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (12818) ~ (all_4_15 = e4)
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12819) all_8_16 = e4
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (580), (12819) imply:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12820) all_4_11 = e4
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (717), (12820) imply:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12821) ~ (all_4_15 = e4)
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (775), (12820) imply:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12822) op(e4, e3) = all_10_16
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12700) gives:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12823) all_12_5 = e4
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (12785), (12823) are inconsistent by
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #566.
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12824) all_12_8 = e4 | all_12_14 = e4 | all_12_22 = e4
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12824) gives:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12825) all_12_8 = e4
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (664), (12825) imply:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12826) all_4_8 = e4
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (455), (12826) imply:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12827) all_10_62 = e4
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (734), (12826) imply:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12828) ~ (all_4_20 = e4)
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (58), (12826) imply:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12829) op(e4, e4) = e2
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_2,
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_16, e3, e4, simplifying with (40), (12822)
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12830) all_10_16 = all_4_2
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_0, e2,
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e4, simplifying with (41), (12829) gives:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12831) all_4_0 = e2
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (12831) imply:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12832) all_12_0 = e2
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (671), (12831) imply:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12833) ~ (all_4_2 = e2)
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12833) implies:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12834) ~ (all_4_2 = e2)
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (668), (12831) imply:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12835) ~ (all_4_4 = e2)
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12835) implies:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12836) ~ (all_4_4 = e2)
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (672), (12831) imply:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12837) ~ (all_4_5 = e2)
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12837) implies:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12838) ~ (all_4_5 = e2)
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (669), (12831) imply:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12839) ~ (all_4_9 = e2)
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12839) implies:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12840) ~ (all_4_9 = e2)
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (322) gives:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12841) all_10_60 = e4
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (516), (12561), (12841) are inconsistent by
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #685.
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12842) all_10_61 = e3 | all_10_62 = e2 | all_10_63 = e1 |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_64 = e0
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (403) gives:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12843) all_12_0 = e3
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (12832), (12843) are inconsistent by
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #413.
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12844) all_12_2 = e3 | all_12_6 = e3 | all_12_12 = e3 |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_20 = e3
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (380) gives:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12845) all_12_6 = e3
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (12845) imply:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12846) all_4_4 = e3
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12846) implies:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12847) all_4_4 = e3
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (12847) imply:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12848) op(e3, all_4_5) = e4
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (395) gives:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12849) all_12_1 = e3
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (12849) imply:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12850) all_4_2 = e3
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (12560), (12788), (12850), (function-axioms)
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #601.
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12851) ~ (all_12_1 = e3)
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (666), (12851) imply:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12852) ~ (all_4_2 = e3)
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12579) gives:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12853) all_10_55 = e3
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (500), (12852), (12853) are inconsistent by
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #624.
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12854) ~ (all_10_55 = e3)
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12855) all_10_60 = e2 | all_10_65 = e1 | all_10_70 = e0
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12855) gives:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12856) all_10_60 = e2
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (516), (12838), (12856) are inconsistent by
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #585.
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12857) ~ (all_10_60 = e2)
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12858) all_10_65 = e1 | all_10_70 = e0
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12858) gives:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12859) all_10_65 = e1
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (528), (12859) imply:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12860) all_4_10 = e1
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12860) implies:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12861) all_4_10 = e1
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (702), (12861) imply:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12862) ~ (all_4_2 = e1)
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (726), (12861) imply:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12863) ~ (all_4_5 = e1)
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (574), (583), (701), (12582), (12588),
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12781), (12834), (12838), (12848), (12852),
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12862), (12863), (function-axioms) are
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #433.
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12864) all_10_70 = e0
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (12558), (12864) are inconsistent by
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #622.
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12865) ~ (all_12_6 = e3)
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (665), (12865) imply:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12866) ~ (all_4_4 = e3)
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (368) gives:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12867) all_12_12 = e1
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (12867) imply:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12868) all_4_9 = e1
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12868) implies:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12869) all_4_9 = e1
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (682), (12869) imply:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12870) ~ (all_4_4 = e1)
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (690), (12869) imply:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12871) ~ (all_4_13 = e1)
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12871) implies:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12872) ~ (all_4_13 = e1)
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (688), (12869) imply:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12873) ~ (all_4_16 = e1)
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12873) implies:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12874) ~ (all_4_16 = e1)
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12787), (12869) imply:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12875) ~ (e4 = e1)
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12840), (12869) imply:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12876) ~ (e2 = e1)
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12794) gives:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12877) all_8_10 = e3
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (568), (12866), (12877) are inconsistent by
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #661.
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12878) ~ (all_8_10 = e3)
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12879) all_8_10 = e2 | all_8_10 = e1 | all_8_10 = e0
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12879) gives:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12880) all_8_10 = e2
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (568), (12836), (12880) are inconsistent by
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #660.
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12881) ~ (all_8_10 = e2)
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12882) all_8_10 = e1 | all_8_10 = e0
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12882) gives:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12883) all_8_10 = e1
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (568), (12870), (12883) are inconsistent by
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #719.
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12884) all_8_10 = e0
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (568), (12884) imply:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12885) all_4_4 = e0
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12885) implies:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12886) all_4_4 = e0
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (12886) imply:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12887) all_12_6 = e0
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12783), (12886) imply:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12888) ~ (e4 = e0)
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12866), (12886) imply:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12889) ~ (e3 = e0)
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12836), (12886) imply:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12890) ~ (e2 = e0)
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12714) gives:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12891) all_8_20 = e3
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (572), (12891) imply:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12892) all_4_16 = e3
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (693), (12892) imply:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12893) ~ (all_4_18 = e3)
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12893) implies:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12894) ~ (all_4_18 = e3)
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12711) gives:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12895) all_10_59 = e3
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (420), (12895) imply:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12896) all_4_18 = e3
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12894), (12896) imply:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12897) $false
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12897) is inconsistent.
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12898) all_10_64 = e2 | all_10_69 = e1 | all_10_74 = e0
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12898) gives:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12899) all_10_64 = e2
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (415), (12899) imply:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12900) all_4_20 = e2
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12900) implies:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12901) all_4_20 = e2
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (655), (12901) imply:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12902) all_12_22 = e2
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12698), (12901) imply:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12903) ~ (e4 = e2)
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12842) gives:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12904) all_10_61 = e3
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (518), (12904) imply:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12905) all_4_7 = e3
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (12905) imply:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12906) all_12_5 = e3
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (383) gives:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12907) all_12_4 = e1
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (12907) imply:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12908) all_4_5 = e1
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (726), (12908) imply:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12909) ~ (all_4_10 = e1)
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12909) implies:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12910) ~ (all_4_10 = e1)
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12579) gives:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12911) all_10_55 = e3
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (500), (12911) imply:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12912) all_4_2 = e3
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12912) implies:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12913) all_4_2 = e3
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (12560), (12788), (12913), (function-axioms)
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #601.
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12914) all_10_60 = e2 | all_10_65 = e1 | all_10_70 = e0
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12914) gives:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12915) all_10_60 = e2
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (516), (12838), (12915) are inconsistent by
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #585.
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12916) all_10_65 = e1 | all_10_70 = e0
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (528), (12558), (12910), (12916) are
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #594.
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12917) all_12_5 = e1 | all_12_8 = e1 | all_12_14 = e1 |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_22 = e1
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12917) gives:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12918) all_12_5 = e1
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12906), (12918) imply:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12919) e3 = e1
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12919) implies:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12920) e3 = e1
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (12920) imply:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12921) $false
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12921) is inconsistent.
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12922) all_12_8 = e1 | all_12_14 = e1 | all_12_22 = e1
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12922) gives:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12923) all_12_8 = e1
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12825), (12923) imply:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12924) e4 = e1
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (12924) imply:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12925) $false
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12925) is inconsistent.
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12926) all_12_14 = e1 | all_12_22 = e1
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12926) gives:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12927) all_12_14 = e1
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (661), (12927) imply:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12928) all_4_13 = e1
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12928) implies:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12929) all_4_13 = e1
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12872), (12929) imply:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12930) $false
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12930) is inconsistent.
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12931) all_12_22 = e1
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12902), (12931) are inconsistent by
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #278.
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12932) all_10_62 = e2 | all_10_63 = e1 | all_10_64 = e0
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12932) gives:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12933) all_10_62 = e2
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (12827), (12933) are inconsistent by
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #381.
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12934) all_10_63 = e1 | all_10_64 = e0
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (435), (12872), (12899), (12934) are
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #133.
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12935) all_10_69 = e1 | all_10_74 = e0
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (562), (8424), (12817), (12935) are
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #275.
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12936) ~ (all_8_20 = e3)
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (572), (12936) imply:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12937) ~ (all_4_16 = e3)
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12844) gives:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12938) all_12_2 = e3
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12776), (12938) imply:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12939) e4 = e3
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (12939) imply:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12940) $false
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12940) is inconsistent.
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12941) all_12_6 = e3 | all_12_12 = e3 | all_12_20 = e3
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12941) gives:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12942) all_12_6 = e3
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12887), (12942) imply:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12943) e3 = e0
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (12943) imply:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12944) $false
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12944) is inconsistent.
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12945) all_12_12 = e3 | all_12_20 = e3
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (657), (12867), (12937), (12945) are
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #287.
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12946) ~ (all_12_12 = e1)
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (446), (12946) imply:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12947) ~ (all_4_9 = e1)
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12590) gives:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12948) all_10_51 = e3
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (12779), (12948) are inconsistent by
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #612.
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12949) all_10_52 = e2 | all_10_53 = e1 | all_10_54 = e0
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12949) gives:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12950) all_10_52 = e2
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (463), (12836), (12950) are inconsistent by
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #611.
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12951) all_10_53 = e1 | all_10_54 = e0
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12951) gives:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12952) all_10_53 = e1
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (534), (12947), (12952) are inconsistent by
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #600.
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12953) all_10_54 = e0
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (424), (12953) imply:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12954) all_4_16 = e0
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12954) implies:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12955) all_4_16 = e0
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12570), (12573), (12708), (12955),
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #587.
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12956) ~ (all_12_8 = e4)
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (664), (12956) imply:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12957) ~ (all_4_8 = e4)
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (23), (29), (35), (66), (400), (401), (404),
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (506), (564), (9342), (12585), (12781), (12818),
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12957), (function-axioms) are inconsistent by
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #283.
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12958) ~ (all_8_16 = e4)
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (580), (12958) imply:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12959) ~ (all_4_11 = e4)
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (23), (29), (35), (66), (400), (401), (404),
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (462), (482), (506), (564), (656), (662), (704),
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (712), (9342), (12585), (12781), (12798), (12809),
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12818), (12959), (function-axioms) are
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #135.
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (12960) all_12_24 = e4
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (410), (9342), (12960) are inconsistent by
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #184.
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.15 | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.15 | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.15 | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | (12961) all_12_3 = e4 | all_12_5 = e4 | all_12_10 = e4 |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | all_12_17 = e4
% 180.28/27.15 | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 180.28/27.15 | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | (12962) all_8_7 = e4
% 180.28/27.15 | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (586), (12962) imply:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | (12963) all_4_7 = e4
% 180.28/27.15 | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | SIMP: (12963) implies:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | (12964) all_4_7 = e4
% 180.28/27.15 | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | REDUCE: (679), (12964) imply:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | (12965) ~ (all_4_1 = e4)
% 180.28/27.15 | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | REDUCE: (707), (12964) imply:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | (12966) ~ (all_4_3 = e4)
% 180.28/27.15 | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | REDUCE: (728), (12964) imply:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | (12967) ~ (all_4_8 = e4)
% 180.28/27.15 | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | SIMP: (12967) implies:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | (12968) ~ (all_4_8 = e4)
% 180.28/27.15 | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | REDUCE: (729), (12964) imply:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | (12969) ~ (all_4_13 = e4)
% 180.28/27.15 | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | SIMP: (12969) implies:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | (12970) ~ (all_4_13 = e4)
% 180.28/27.15 | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | REDUCE: (778), (12964) imply:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | (12971) op(e4, e2) = all_10_7
% 180.28/27.15 | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_5,
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | all_10_7, e2, e4, simplifying with (39), (12971)
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | gives:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | (12972) all_10_7 = all_4_5
% 180.28/27.15 | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | BETA: splitting (371) gives:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | (12973) all_12_12 = e4
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (12973) imply:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | (12974) all_4_9 = e4
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | SIMP: (12974) implies:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | (12975) all_4_9 = e4
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | REDUCE: (691), (12975) imply:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | (12976) ~ (all_4_15 = e4)
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | SIMP: (12976) implies:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | (12977) ~ (all_4_15 = e4)
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (23), (29), (35), (66), (400), (401), (404),
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | (506), (564), (9342), (12585), (12966), (12968),
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | (12977), (function-axioms) are inconsistent by
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | sub-proof #283.
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | (12978) ~ (all_12_12 = e4)
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | (12979) all_12_13 = e4 | all_12_14 = e4 | all_12_15 = e4 |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | all_12_19 = e4
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | REDUCE: (446), (12978) imply:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | (12980) ~ (all_4_9 = e4)
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | BETA: splitting (12718) gives:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | (12981) all_12_2 = e4
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (12965), (12981) are inconsistent by
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | sub-proof #695.
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | (12982) all_12_6 = e4 | all_12_12 = e4 | all_12_20 = e4
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12982) gives:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | (12983) all_12_6 = e4
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (12983) imply:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | (12984) all_4_4 = e4
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | SIMP: (12984) implies:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | (12985) all_4_4 = e4
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (12985) imply:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | (12986) ~ (all_4_6 = e4)
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | SIMP: (12986) implies:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | (12987) ~ (all_4_6 = e4)
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (683), (12985) imply:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | (12988) ~ (all_4_16 = e4)
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (12985) imply:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | (12989) op(e4, all_4_5) = e4
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (769), (12985) imply:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | (12990) op(e4, e4) = all_10_10
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (61), (12985) imply:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | (12991) op(all_4_5, e4) = e2
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_0,
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | all_10_10, e4, e4, simplifying with (41), (12990)
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | gives:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | (12992) all_10_10 = all_4_0
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_27,
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | e4, all_4_5, e4, simplifying with (794), (12989)
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | gives:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | (12993) all_10_27 = e4
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (396) gives:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | (12994) all_12_1 = e4
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (12994) imply:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | (12995) all_4_2 = e4
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12560), (12995) imply:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | (12996) $false
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12996) is inconsistent.
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | (12997) all_12_3 = e4 | all_12_7 = e4 | all_12_13 = e4 |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | all_12_21 = e4
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | (12998) all_8_21 = e4
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (582), (12998) imply:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | (12999) all_4_18 = e4
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12999) implies:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | (13000) all_4_18 = e4
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (420), (13000) imply:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | (13001) all_10_59 = e4
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (656), (13000) imply:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | (13002) all_12_21 = e4
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (13000) imply:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | (13003) ~ (all_4_11 = e4)
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (813), (13000) imply:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | (13004) op(e0, e4) = all_10_46
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12979) gives:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | (13005) all_12_13 = e4
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (662), (13003), (13005) are inconsistent by
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #604.
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | (13006) all_12_14 = e4 | all_12_15 = e4 | all_12_19 = e4
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13006) gives:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (13007) all_12_14 = e4
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (661), (12970), (13007) are inconsistent by
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #603.
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (13008) all_12_15 = e4 | all_12_19 = e4
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13008) gives:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13009) all_12_15 = e4
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (660), (13009) imply:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13010) all_4_15 = e4
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (13010) imply:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13011) op(e4, e4) = e1
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_16,
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_46, e4, e0, simplifying with (21), (13004)
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13012) all_10_46 = all_4_16
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_0, e1,
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e4, simplifying with (41), (13011) gives:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13013) all_4_0 = e1
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (672), (13013) imply:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13014) ~ (all_4_5 = e1)
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13014) implies:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13015) ~ (all_4_5 = e1)
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (673), (13013) imply:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13016) ~ (all_4_10 = e1)
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13016) implies:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13017) ~ (all_4_10 = e1)
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (384) gives:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13018) all_12_4 = e2
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (13018) imply:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13019) all_4_5 = e2
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (12561), (12989), (13019), (function-axioms)
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #311.
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13020) ~ (all_12_4 = e2)
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (498), (13020) imply:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13021) ~ (all_4_5 = e2)
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12579) gives:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13022) all_10_55 = e3
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (500), (13022) imply:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13023) all_4_2 = e3
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13023) implies:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13024) all_4_2 = e3
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (701), (13024) imply:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13025) ~ (all_4_5 = e3)
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13025) implies:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13026) ~ (all_4_5 = e3)
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12560), (13024) imply:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13027) ~ (e4 = e3)
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12588) gives:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13028) all_8_2 = e3
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (13026), (13028) are inconsistent by
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #753.
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13029) all_8_2 = e2 | all_8_2 = e1 | all_8_2 = e0
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13029) gives:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13030) all_8_2 = e2
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (13021), (13030) are inconsistent by
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #752.
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13031) ~ (all_8_2 = e2)
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13032) all_8_2 = e1 | all_8_2 = e0
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13032) gives:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13033) all_8_2 = e1
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (13015), (13033) are inconsistent by
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #751.
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13034) all_8_2 = e0
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (583), (13034) imply:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13035) all_4_5 = e0
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13035) implies:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13036) all_4_5 = e0
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (725), (13036) imply:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13037) ~ (all_4_20 = e0)
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13037) implies:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13038) ~ (all_4_20 = e0)
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12561), (13036) imply:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13039) ~ (e4 = e0)
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13021), (13036) imply:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13040) ~ (e2 = e0)
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13015), (13036) imply:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13041) ~ (e1 = e0)
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12991), (13036) imply:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13042) op(e0, e4) = e2
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_16, e2,
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e0, simplifying with (21), (13042) gives:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13043) all_4_16 = e2
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (13043) imply:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13044) all_12_20 = e2
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (694), (13043) imply:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13045) ~ (all_4_20 = e2)
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13045) implies:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13046) ~ (all_4_20 = e2)
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8422) gives:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13047) all_12_20 = e0
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13044), (13047) are inconsistent by
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #259.
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13048) all_12_21 = e0 | all_12_22 = e0 | all_12_23 = e0
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13048) gives:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13049) all_12_21 = e0
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (13002), (13049) are inconsistent by
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #132.
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13050) all_12_22 = e0 | all_12_23 = e0
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13050) gives:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13051) all_12_22 = e0
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (655), (13038), (13051) are inconsistent by
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #435.
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13052) all_12_23 = e0
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (414), (13052) imply:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13053) all_4_22 = e0
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13053) implies:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13054) all_4_22 = e0
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (560), (13054) imply:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13055) all_10_69 = e0
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (756), (13054) imply:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13056) ~ (all_4_24 = e0)
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12711) gives:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13057) all_10_59 = e3
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (13001), (13057) are inconsistent by
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #131.
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13058) all_10_64 = e2 | all_10_69 = e1 | all_10_74 = e0
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13058) gives:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13059) all_10_64 = e2
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (415), (13046), (13059) are inconsistent by
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #254.
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13060) all_10_69 = e1 | all_10_74 = e0
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (562), (8424), (13055), (13060) are
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #180.
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13061) all_10_60 = e2 | all_10_65 = e1 | all_10_70 = e0
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13061) gives:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13062) all_10_60 = e2
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (516), (13021), (13062) are inconsistent by
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #585.
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13063) all_10_65 = e1 | all_10_70 = e0
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (528), (12558), (13017), (13063) are
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #594.
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13064) all_12_19 = e4
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (430), (12567), (13064) are inconsistent by
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #593.
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | (13065) ~ (all_8_21 = e4)
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (582), (13065) imply:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | (13066) ~ (all_4_18 = e4)
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12997) gives:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | (13067) all_12_3 = e4
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (482), (13067) imply:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | (13068) all_4_3 = e4
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12966), (13068) imply:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | (13069) $false
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13069) is inconsistent.
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | (13070) all_12_7 = e4 | all_12_13 = e4 | all_12_21 = e4
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13070) gives:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (13071) all_12_7 = e4
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (462), (13071) imply:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (13072) all_4_6 = e4
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12987), (13072) imply:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (13073) $false
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13073) is inconsistent.
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (13074) all_12_13 = e4 | all_12_21 = e4
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13074) gives:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13075) all_12_13 = e4
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (662), (13075) imply:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13076) all_4_11 = e4
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13076) implies:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13077) all_4_11 = e4
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (717), (13077) imply:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13078) ~ (all_4_15 = e4)
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13078) implies:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13079) ~ (all_4_15 = e4)
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (23), (29), (35), (66), (400), (401), (404),
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (446), (506), (564), (657), (665), (685), (9342),
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12585), (12708), (12966), (12980), (12982),
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13079), (function-axioms) are inconsistent by
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #142.
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13080) all_12_21 = e4
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (656), (13066), (13080) are inconsistent by
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #592.
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | (13081) all_12_12 = e4 | all_12_20 = e4
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (657), (12708), (12980), (13081) are
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #571.
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.15 | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | (13082) ~ (all_8_7 = e4)
% 180.28/27.15 | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | REDUCE: (586), (13082) imply:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | (13083) ~ (all_4_7 = e4)
% 180.28/27.15 | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | BETA: splitting (12961) gives:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | (13084) all_12_3 = e4
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (482), (13084) imply:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | (13085) all_4_3 = e4
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | REDUCE: (678), (13085) imply:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | (13086) ~ (all_4_1 = e4)
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | REDUCE: (704), (13085) imply:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | (13087) ~ (all_4_6 = e4)
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | SIMP: (13087) implies:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | (13088) ~ (all_4_6 = e4)
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | REDUCE: (705), (13085) imply:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | (13089) ~ (all_4_11 = e4)
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | SIMP: (13089) implies:
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | (13090) ~ (all_4_11 = e4)
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.15 | | | | | | | | | | | | | | | | | | | | REDUCE: (706), (13085) imply:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | (13091) ~ (all_4_18 = e4)
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | SIMP: (13091) implies:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | (13092) ~ (all_4_18 = e4)
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | REDUCE: (63), (13085) imply:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | (13093) op(e4, e4) = e3
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | BETA: splitting (12707) gives:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | (13094) all_12_21 = e4
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (656), (13092), (13094) are inconsistent by
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | sub-proof #592.
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | (13095) all_12_22 = e4 | all_12_23 = e4 | all_12_24 = e4
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13095) gives:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | (13096) all_12_22 = e4
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (655), (12698), (13096) are inconsistent by
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | sub-proof #640.
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | (13097) all_12_23 = e4 | all_12_24 = e4
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13097) gives:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | (13098) all_12_23 = e4
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (414), (13098) imply:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | (13099) all_4_22 = e4
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13099) implies:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | (13100) all_4_22 = e4
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (752), (13100) imply:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | (13101) ~ (all_4_14 = e4)
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (754), (13100) imply:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | (13102) ~ (all_4_15 = e4)
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (44), (13100) imply:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | (13103) op(e4, all_4_23) = e1
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (43), (13100) imply:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | (13104) op(all_4_23, e4) = e0
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (815), (13100) imply:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | (13105) op(e0, e4) = all_10_48
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_16,
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | all_10_48, e4, e0, simplifying with (21), (13105)
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | (13106) all_10_48 = all_4_16
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_0, e3,
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | e4, e4, simplifying with (41), (13093) gives:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | (13107) all_4_0 = e3
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (667), (13107) imply:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | (13108) ~ (all_4_1 = e3)
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13108) implies:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | (13109) ~ (all_4_1 = e3)
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (671), (13107) imply:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | (13110) ~ (all_4_2 = e3)
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13110) implies:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | (13111) ~ (all_4_2 = e3)
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (672), (13107) imply:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | (13112) ~ (all_4_5 = e3)
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13112) implies:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | (13113) ~ (all_4_5 = e3)
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (371) gives:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | (13114) all_12_12 = e4
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (13114) imply:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | (13115) all_4_9 = e4
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13115) implies:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | (13116) all_4_9 = e4
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (682), (13116) imply:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | (13117) ~ (all_4_4 = e4)
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (58), (381), (454), (462), (658), (664),
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | (665), (12565), (13088), (13093), (13101),
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | (13117), (function-axioms) are inconsistent by
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #629.
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | (13118) all_12_13 = e4 | all_12_14 = e4 | all_12_15 = e4 |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | all_12_19 = e4
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12718) gives:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | (13119) all_12_2 = e4
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (13086), (13119) are inconsistent by
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #695.
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | (13120) all_12_6 = e4 | all_12_12 = e4 | all_12_20 = e4
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13118) gives:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (13121) all_12_13 = e4
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (662), (13090), (13121) are inconsistent by
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #604.
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (13122) all_12_14 = e4 | all_12_15 = e4 | all_12_19 = e4
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13122) gives:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13123) all_12_14 = e4
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (661), (13123) imply:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13124) all_4_13 = e4
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13124) implies:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13125) all_4_13 = e4
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (690), (13125) imply:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13126) ~ (all_4_9 = e4)
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (738), (13125) imply:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13127) ~ (all_4_15 = e4)
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (780), (13125) imply:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13128) op(e4, e2) = all_10_17
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (381) gives:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13129) all_12_6 = e4
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (13129) imply:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13130) all_4_4 = e4
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13130) implies:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13131) all_4_4 = e4
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (463), (13131) imply:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13132) all_10_52 = e4
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (683), (13131) imply:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13133) ~ (all_4_16 = e4)
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (13131) imply:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13134) op(e4, all_4_5) = e4
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (61), (13131) imply:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13135) op(all_4_5, e4) = e2
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_5,
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_17, e2, e4, simplifying with (39), (13128)
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13136) all_10_17 = all_4_5
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_27,
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, all_4_5, e4, simplifying with (794), (13134)
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13137) all_10_27 = e4
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (383) gives:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13138) all_12_4 = e1
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (13138) imply:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13139) all_4_5 = e1
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (516), (13139) imply:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13140) all_10_60 = e1
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (726), (13139) imply:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13141) ~ (all_4_10 = e1)
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13141) implies:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13142) ~ (all_4_10 = e1)
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12579) gives:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13143) all_10_55 = e3
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (500), (13111), (13143) are inconsistent by
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #624.
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13144) all_10_60 = e2 | all_10_65 = e1 | all_10_70 = e0
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13144) gives:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13145) all_10_60 = e2
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13140), (13145) imply:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13146) e2 = e1
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (13146) imply:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13147) $false
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13147) is inconsistent.
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13148) all_10_65 = e1 | all_10_70 = e0
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13148) gives:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13149) all_10_65 = e1
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (528), (13142), (13149) are inconsistent by
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #595.
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13150) all_10_70 = e0
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (12558), (13150) are inconsistent by
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #622.
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13151) ~ (all_12_4 = e1)
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (498), (13151) imply:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13152) ~ (all_4_5 = e1)
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (384) gives:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13153) all_12_4 = e2
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (13153) imply:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13154) all_4_5 = e2
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (12561), (13134), (13154), (function-axioms)
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #311.
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13155) ~ (all_12_4 = e2)
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (498), (13155) imply:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13156) ~ (all_4_5 = e2)
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12579) gives:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13157) all_10_55 = e3
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (500), (13111), (13157) are inconsistent by
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #624.
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13158) all_10_60 = e2 | all_10_65 = e1 | all_10_70 = e0
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12588) gives:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13159) all_8_2 = e3
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (13113), (13159) are inconsistent by
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #753.
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13160) all_8_2 = e2 | all_8_2 = e1 | all_8_2 = e0
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13160) gives:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13161) all_8_2 = e2
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (13156), (13161) are inconsistent by
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #752.
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13162) ~ (all_8_2 = e2)
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13163) all_8_2 = e1 | all_8_2 = e0
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13163) gives:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13164) all_8_2 = e1
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (13152), (13164) are inconsistent by
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #751.
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13165) all_8_2 = e0
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (583), (13165) imply:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13166) all_4_5 = e0
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13166) implies:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13167) all_4_5 = e0
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (516), (13167) imply:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13168) all_10_60 = e0
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12561), (13167) imply:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13169) ~ (e4 = e0)
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13156), (13167) imply:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13170) ~ (e2 = e0)
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13135), (13167) imply:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13171) op(e0, e4) = e2
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11), (21), (23), (57), (424), (512), (528),
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (534), (782), (12558), (12590), (12708), (13102),
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13109), (13132), (13158), (13168), (13171),
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #567.
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13172) ~ (all_12_6 = e4)
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (665), (13172) imply:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13173) ~ (all_4_4 = e4)
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13120) gives:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13174) all_12_6 = e4
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (665), (13173), (13174) are inconsistent by
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #780.
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13175) all_12_12 = e4 | all_12_20 = e4
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (657), (12708), (13126), (13175) are
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #571.
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13176) all_12_15 = e4 | all_12_19 = e4
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (41), (430), (660), (13102), (13103),
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13104), (13176), (function-axioms) are
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #564.
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | (13177) all_12_24 = e4
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (410), (9342), (13177) are inconsistent by
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #184.
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | (13178) all_12_5 = e4 | all_12_10 = e4 | all_12_17 = e4
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (470), (478), (663), (12555), (12775), (13083),
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | | (13178) are inconsistent by sub-proof #565.
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.16 | | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.16 | | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | | End of split
% 180.28/27.16 | | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | End of split
% 180.28/27.16 | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | End of split
% 180.28/27.16 | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | End of split
% 180.28/27.16 | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | End of split
% 180.28/27.16 | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | End of split
% 180.28/27.16 | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | End of split
% 180.28/27.16 | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | End of split
% 180.28/27.16 | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | End of split
% 180.28/27.16 | | | | | | | | |
% 180.28/27.16 | | | | | | | | End of split
% 180.28/27.16 | | | | | | | |
% 180.28/27.16 | | | | | | | End of split
% 180.28/27.16 | | | | | | |
% 180.28/27.16 | | | | | | End of split
% 180.28/27.16 | | | | | |
% 180.28/27.16 | | | | | End of split
% 180.28/27.16 | | | | |
% 180.28/27.16 | | | | Case 2:
% 180.28/27.16 | | | | |
% 180.28/27.16 | | | | | (13179) ~ (all_12_16 = e4)
% 180.28/27.16 | | | | | (13180) all_12_17 = e4 | all_12_18 = e4 | all_12_19 = e4 |
% 180.28/27.16 | | | | | all_12_24 = e4
% 180.28/27.16 | | | | |
% 180.28/27.16 | | | | | REDUCE: (659), (13179) imply:
% 180.28/27.16 | | | | | (13181) ~ (all_4_17 = e4)
% 180.28/27.16 | | | | |
% 180.28/27.16 | | | | | BETA: splitting (320) gives:
% 180.28/27.16 | | | | |
% 180.28/27.16 | | | | | Case 1:
% 180.28/27.16 | | | | | |
% 180.28/27.16 | | | | | | (13182) all_10_70 = e4
% 180.28/27.16 | | | | | |
% 180.28/27.16 | | | | | | REF_CLOSE: (488), (13181), (13182) are inconsistent by sub-proof
% 180.28/27.16 | | | | | | #286.
% 180.28/27.16 | | | | | |
% 180.28/27.16 | | | | | Case 2:
% 180.28/27.16 | | | | | |
% 180.28/27.16 | | | | | | (13183) ~ (all_10_70 = e4)
% 180.28/27.16 | | | | | | (13184) all_10_71 = e3 | all_10_72 = e2 | all_10_73 = e1 |
% 180.28/27.16 | | | | | | all_10_74 = e0
% 180.28/27.16 | | | | | |
% 180.28/27.16 | | | | | | BETA: splitting (239) gives:
% 180.28/27.16 | | | | | |
% 180.28/27.16 | | | | | | Case 1:
% 180.28/27.16 | | | | | | |
% 180.28/27.16 | | | | | | | (13185) all_8_4 = e4
% 180.28/27.16 | | | | | | |
% 180.28/27.16 | | | | | | | REF_CLOSE: (603), (13181), (13185) are inconsistent by sub-proof
% 180.28/27.16 | | | | | | | #787.
% 180.28/27.16 | | | | | | |
% 180.28/27.16 | | | | | | Case 2:
% 180.28/27.16 | | | | | | |
% 180.28/27.16 | | | | | | | (13186) ~ (all_8_4 = e4)
% 180.28/27.16 | | | | | | | (13187) all_8_4 = e3 | all_8_4 = e2 | all_8_4 = e1 | all_8_4 =
% 180.28/27.16 | | | | | | | e0
% 180.28/27.16 | | | | | | |
% 180.28/27.16 | | | | | | | BETA: splitting (220) gives:
% 180.28/27.16 | | | | | | |
% 180.28/27.16 | | | | | | | Case 1:
% 180.28/27.16 | | | | | | | |
% 180.28/27.16 | | | | | | | | (13188) all_8_23 = e4
% 180.28/27.16 | | | | | | | |
% 180.28/27.16 | | | | | | | | COMBINE_EQS: (602), (13188) imply:
% 180.28/27.16 | | | | | | | | (13189) all_4_22 = e4
% 180.28/27.16 | | | | | | | |
% 180.28/27.16 | | | | | | | | SIMP: (13189) implies:
% 180.28/27.16 | | | | | | | | (13190) all_4_22 = e4
% 180.28/27.16 | | | | | | | |
% 180.28/27.16 | | | | | | | | COMBINE_EQS: (560), (13190) imply:
% 180.28/27.16 | | | | | | | | (13191) all_10_69 = e4
% 180.28/27.16 | | | | | | | |
% 180.28/27.16 | | | | | | | | COMBINE_EQS: (414), (13190) imply:
% 180.28/27.16 | | | | | | | | (13192) all_12_23 = e4
% 180.28/27.16 | | | | | | | |
% 180.28/27.16 | | | | | | | | REDUCE: (745), (13190) imply:
% 180.28/27.16 | | | | | | | | (13193) ~ (all_4_10 = e4)
% 180.28/27.16 | | | | | | | |
% 180.28/27.16 | | | | | | | | REDUCE: (749), (13190) imply:
% 180.28/27.16 | | | | | | | | (13194) ~ (all_4_12 = e4)
% 180.28/27.16 | | | | | | | |
% 180.28/27.16 | | | | | | | | REDUCE: (754), (13190) imply:
% 180.28/27.16 | | | | | | | | (13195) ~ (all_4_15 = e4)
% 180.28/27.16 | | | | | | | |
% 180.28/27.16 | | | | | | | | REDUCE: (695), (13190) imply:
% 180.28/27.16 | | | | | | | | (13196) ~ (all_4_16 = e4)
% 180.28/27.16 | | | | | | | |
% 180.28/27.16 | | | | | | | | REDUCE: (720), (13190) imply:
% 180.28/27.16 | | | | | | | | (13197) ~ (all_4_18 = e4)
% 180.28/27.16 | | | | | | | |
% 180.28/27.16 | | | | | | | | REDUCE: (756), (13190) imply:
% 180.28/27.16 | | | | | | | | (13198) ~ (all_4_24 = e4)
% 180.28/27.16 | | | | | | | |
% 180.28/27.16 | | | | | | | | REDUCE: (44), (13190) imply:
% 180.28/27.16 | | | | | | | | (13199) op(e4, all_4_23) = e1
% 180.28/27.16 | | | | | | | |
% 180.28/27.16 | | | | | | | | REDUCE: (786), (13190) imply:
% 180.28/27.16 | | | | | | | | (13200) op(e4, e1) = all_10_23
% 180.28/27.16 | | | | | | | |
% 180.28/27.16 | | | | | | | | REDUCE: (43), (13190) imply:
% 180.28/27.16 | | | | | | | | (13201) op(all_4_23, e4) = e0
% 180.28/27.16 | | | | | | | |
% 180.28/27.16 | | | | | | | | REDUCE: (18), (13190) imply:
% 180.28/27.16 | | | | | | | | (13202) op(e0, e1) = e4
% 180.28/27.16 | | | | | | | |
% 180.28/27.16 | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_10,
% 180.28/27.16 | | | | | | | | all_10_23, e1, e4, simplifying with (38), (13200)
% 180.28/27.16 | | | | | | | | gives:
% 180.28/27.16 | | | | | | | | (13203) all_10_23 = all_4_10
% 180.28/27.16 | | | | | | | |
% 180.28/27.16 | | | | | | | | BETA: splitting (324) gives:
% 180.28/27.16 | | | | | | | |
% 180.28/27.16 | | | | | | | | Case 1:
% 180.28/27.16 | | | | | | | | |
% 180.28/27.16 | | | | | | | | | (13204) all_10_54 = e4
% 180.28/27.16 | | | | | | | | |
% 180.28/27.16 | | | | | | | | | COMBINE_EQS: (424), (13204) imply:
% 180.28/27.16 | | | | | | | | | (13205) all_4_16 = e4
% 180.28/27.16 | | | | | | | | |
% 180.28/27.16 | | | | | | | | | REDUCE: (13196), (13205) imply:
% 180.28/27.16 | | | | | | | | | (13206) $false
% 180.28/27.16 | | | | | | | | |
% 180.28/27.16 | | | | | | | | | CLOSE: (13206) is inconsistent.
% 180.28/27.16 | | | | | | | | |
% 180.28/27.16 | | | | | | | | Case 2:
% 180.28/27.16 | | | | | | | | |
% 180.28/27.16 | | | | | | | | | (13207) ~ (all_10_54 = e4)
% 180.28/27.16 | | | | | | | | | (13208) all_10_59 = e3 | all_10_64 = e2 | all_10_69 = e1 |
% 180.28/27.16 | | | | | | | | | all_10_74 = e0
% 180.28/27.16 | | | | | | | | |
% 180.28/27.16 | | | | | | | | | BETA: splitting (321) gives:
% 180.28/27.16 | | | | | | | | |
% 180.28/27.16 | | | | | | | | | Case 1:
% 180.28/27.16 | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | (13209) all_10_65 = e4
% 180.28/27.16 | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | REF_CLOSE: (528), (13193), (13209) are inconsistent by
% 180.28/27.16 | | | | | | | | | | sub-proof #790.
% 180.28/27.16 | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | Case 2:
% 180.28/27.16 | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | (13210) ~ (all_10_65 = e4)
% 180.28/27.16 | | | | | | | | | | (13211) all_10_66 = e3 | all_10_67 = e2 | all_10_68 = e1 |
% 180.28/27.16 | | | | | | | | | | all_10_69 = e0
% 180.28/27.16 | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | BETA: splitting (223) gives:
% 180.28/27.16 | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | Case 1:
% 180.28/27.16 | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | (13212) all_8_20 = e4
% 180.28/27.16 | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | COMBINE_EQS: (572), (13212) imply:
% 180.28/27.16 | | | | | | | | | | | (13213) all_4_16 = e4
% 180.28/27.16 | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | REDUCE: (13196), (13213) imply:
% 180.28/27.16 | | | | | | | | | | | (13214) $false
% 180.28/27.16 | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | CLOSE: (13214) is inconsistent.
% 180.28/27.16 | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | Case 2:
% 180.28/27.16 | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | (13215) ~ (all_8_20 = e4)
% 180.28/27.16 | | | | | | | | | | | (13216) all_8_20 = e3 | all_8_20 = e2 | all_8_20 = e1 |
% 180.28/27.16 | | | | | | | | | | | all_8_20 = e0
% 180.28/27.16 | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | BETA: splitting (240) gives:
% 180.28/27.16 | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | Case 1:
% 180.28/27.16 | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | (13217) all_8_3 = e4
% 180.28/27.16 | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | REF_CLOSE: (594), (13193), (13217) are inconsistent by
% 180.28/27.16 | | | | | | | | | | | | sub-proof #789.
% 180.28/27.16 | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | Case 2:
% 180.28/27.16 | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | (13218) ~ (all_8_3 = e4)
% 180.28/27.16 | | | | | | | | | | | | (13219) all_8_3 = e3 | all_8_3 = e2 | all_8_3 = e1 |
% 180.28/27.16 | | | | | | | | | | | | all_8_3 = e0
% 180.28/27.16 | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | BETA: splitting (391) gives:
% 180.28/27.16 | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | Case 1:
% 180.28/27.16 | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | (13220) all_12_2 = e4
% 180.28/27.16 | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | COMBINE_EQS: (486), (13220) imply:
% 180.28/27.16 | | | | | | | | | | | | | (13221) all_4_1 = e4
% 180.28/27.16 | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | SIMP: (13221) implies:
% 180.28/27.16 | | | | | | | | | | | | | (13222) all_4_1 = e4
% 180.28/27.16 | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | REDUCE: (667), (13222) imply:
% 180.28/27.16 | | | | | | | | | | | | | (13223) ~ (all_4_0 = e4)
% 180.28/27.16 | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | REDUCE: (678), (13222) imply:
% 180.28/27.16 | | | | | | | | | | | | | (13224) ~ (all_4_3 = e4)
% 180.28/27.16 | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | SIMP: (13224) implies:
% 180.28/27.16 | | | | | | | | | | | | | (13225) ~ (all_4_3 = e4)
% 180.28/27.16 | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | REDUCE: (65), (13222) imply:
% 180.28/27.16 | | | | | | | | | | | | | (13226) op(e4, all_4_2) = e4
% 180.28/27.16 | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | REDUCE: (64), (13222) imply:
% 180.28/27.16 | | | | | | | | | | | | | (13227) op(all_4_2, e4) = e3
% 180.28/27.16 | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_26,
% 180.28/27.16 | | | | | | | | | | | | | e4, all_4_2, e4, simplifying with (793), (13226)
% 180.28/27.16 | | | | | | | | | | | | | gives:
% 180.28/27.16 | | | | | | | | | | | | | (13228) all_10_26 = e4
% 180.28/27.16 | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | BETA: splitting (406) gives:
% 180.28/27.16 | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | Case 1:
% 180.28/27.16 | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | (13229) all_12_0 = e4
% 180.28/27.16 | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | COMBINE_EQS: (506), (13229) imply:
% 180.28/27.16 | | | | | | | | | | | | | | (13230) all_4_0 = e4
% 180.28/27.16 | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | REDUCE: (13223), (13230) imply:
% 180.28/27.16 | | | | | | | | | | | | | | (13231) $false
% 180.28/27.16 | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | CLOSE: (13231) is inconsistent.
% 180.28/27.16 | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | Case 2:
% 180.28/27.16 | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | (13232) ~ (all_12_0 = e4)
% 180.28/27.16 | | | | | | | | | | | | | | (13233) all_12_1 = e4 | all_12_4 = e4 | all_12_9 = e4 |
% 180.28/27.16 | | | | | | | | | | | | | | all_12_16 = e4
% 180.28/27.16 | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 180.28/27.16 | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | Case 1:
% 180.28/27.16 | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | (13234) all_8_0 = e4
% 180.28/27.16 | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | REF_CLOSE: (564), (13223), (13234) are inconsistent by
% 180.28/27.16 | | | | | | | | | | | | | | | sub-proof #706.
% 180.28/27.16 | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | Case 2:
% 180.28/27.16 | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | (13235) all_8_0 = e3 | all_8_0 = e2 | all_8_0 = e1 |
% 180.28/27.16 | | | | | | | | | | | | | | | all_8_0 = e0
% 180.28/27.16 | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | BETA: splitting (396) gives:
% 180.28/27.16 | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | Case 1:
% 180.28/27.16 | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | (13236) all_12_1 = e4
% 180.28/27.16 | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | REF_CLOSE: (14), (666), (13226), (13227), (13236),
% 180.28/27.16 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.28/27.16 | | | | | | | | | | | | | | | | #129.
% 180.28/27.16 | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | Case 2:
% 180.28/27.16 | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | (13237) ~ (all_12_1 = e4)
% 180.28/27.16 | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | REDUCE: (666), (13237) imply:
% 180.28/27.16 | | | | | | | | | | | | | | | | (13238) ~ (all_4_2 = e4)
% 180.28/27.16 | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | | REF_CLOSE: (17), (23), (29), (35), (66), (400), (401), (404),
% 180.28/27.16 | | | | | | | | | | | | | | | | (494), (498), (506), (564), (659), (666), (723),
% 180.28/27.16 | | | | | | | | | | | | | | | | (9342), (13181), (13193), (13195), (13225),
% 180.28/27.16 | | | | | | | | | | | | | | | | (13233), (13235), (13238), (function-axioms) are
% 180.28/27.16 | | | | | | | | | | | | | | | | inconsistent by sub-proof #137.
% 180.28/27.16 | | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | | End of split
% 180.28/27.16 | | | | | | | | | | | | | | |
% 180.28/27.16 | | | | | | | | | | | | | | End of split
% 180.28/27.16 | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | End of split
% 180.28/27.17 | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | Case 2:
% 180.28/27.17 | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | (13239) ~ (all_12_2 = e4)
% 180.28/27.17 | | | | | | | | | | | | | (13240) all_12_3 = e4 | all_12_5 = e4 | all_12_10 = e4 |
% 180.28/27.17 | | | | | | | | | | | | | all_12_17 = e4
% 180.28/27.17 | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | REDUCE: (486), (13239) imply:
% 180.28/27.17 | | | | | | | | | | | | | (13241) ~ (all_4_1 = e4)
% 180.28/27.17 | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | BETA: splitting (238) gives:
% 180.28/27.17 | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | Case 1:
% 180.28/27.17 | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | (13242) all_8_5 = e4
% 180.28/27.17 | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | REF_CLOSE: (566), (13241), (13242) are inconsistent by
% 180.28/27.17 | | | | | | | | | | | | | | sub-proof #784.
% 180.28/27.17 | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | Case 2:
% 180.28/27.17 | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | (13243) ~ (all_8_5 = e4)
% 180.28/27.17 | | | | | | | | | | | | | | (13244) all_8_5 = e3 | all_8_5 = e2 | all_8_5 = e1 |
% 180.28/27.17 | | | | | | | | | | | | | | all_8_5 = e0
% 180.28/27.17 | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | BETA: splitting (405) gives:
% 180.28/27.17 | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | Case 1:
% 180.28/27.17 | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | (13245) all_12_0 = e4
% 180.28/27.17 | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | COMBINE_EQS: (506), (13245) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | (13246) all_4_0 = e4
% 180.28/27.17 | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | REDUCE: (671), (13246) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | (13247) ~ (all_4_2 = e4)
% 180.28/27.17 | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | SIMP: (13247) implies:
% 180.28/27.17 | | | | | | | | | | | | | | | (13248) ~ (all_4_2 = e4)
% 180.28/27.17 | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | REDUCE: (668), (13246) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | (13249) ~ (all_4_4 = e4)
% 180.28/27.17 | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | SIMP: (13249) implies:
% 180.28/27.17 | | | | | | | | | | | | | | | (13250) ~ (all_4_4 = e4)
% 180.28/27.17 | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | REDUCE: (672), (13246) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | (13251) ~ (all_4_5 = e4)
% 180.28/27.17 | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | SIMP: (13251) implies:
% 180.28/27.17 | | | | | | | | | | | | | | | (13252) ~ (all_4_5 = e4)
% 180.28/27.17 | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | REDUCE: (669), (13246) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | (13253) ~ (all_4_9 = e4)
% 180.28/27.17 | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | SIMP: (13253) implies:
% 180.28/27.17 | | | | | | | | | | | | | | | (13254) ~ (all_4_9 = e4)
% 180.28/27.17 | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | REDUCE: (673), (13246) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | (13255) ~ (all_4_10 = e4)
% 180.28/27.17 | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | REDUCE: (670), (13246) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | (13256) ~ (all_4_16 = e4)
% 180.28/27.17 | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | REDUCE: (767), (13246) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | (13257) op(e4, e4) = all_10_0
% 180.28/27.17 | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | REDUCE: (792), (13246) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | (13258) op(e4, e4) = all_10_25
% 180.28/27.17 | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | REDUCE: (41), (13246) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | (13259) op(e4, e4) = e4
% 180.28/27.17 | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_25,
% 180.28/27.17 | | | | | | | | | | | | | | | all_10_0, e4, e4, simplifying with (13257),
% 180.28/27.17 | | | | | | | | | | | | | | | (13258) gives:
% 180.28/27.17 | | | | | | | | | | | | | | | (13260) all_10_0 = all_10_25
% 180.28/27.17 | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_10_0,
% 180.28/27.17 | | | | | | | | | | | | | | | e4, e4, simplifying with (13257), (13259) gives:
% 180.28/27.17 | | | | | | | | | | | | | | | (13261) all_10_0 = e4
% 180.28/27.17 | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | COMBINE_EQS: (13260), (13261) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | (13262) all_10_25 = e4
% 180.28/27.17 | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | SIMP: (13262) implies:
% 180.28/27.17 | | | | | | | | | | | | | | | (13263) all_10_25 = e4
% 180.28/27.17 | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 180.28/27.17 | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | Case 1:
% 180.28/27.17 | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | (13264) all_8_10 = e4
% 180.28/27.17 | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | REF_CLOSE: (568), (13250), (13264) are inconsistent by
% 180.28/27.17 | | | | | | | | | | | | | | | | sub-proof #781.
% 180.28/27.17 | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | Case 2:
% 180.28/27.17 | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | (13265) ~ (all_8_10 = e4)
% 180.28/27.17 | | | | | | | | | | | | | | | | (13266) all_8_10 = e3 | all_8_10 = e2 | all_8_10 = e1 |
% 180.28/27.17 | | | | | | | | | | | | | | | | all_8_10 = e0
% 180.28/27.17 | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 180.28/27.17 | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.17 | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | (13267) all_8_2 = e4
% 180.28/27.17 | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (13252), (13267) are inconsistent by
% 180.28/27.17 | | | | | | | | | | | | | | | | | sub-proof #777.
% 180.28/27.17 | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.17 | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | (13268) all_8_2 = e3 | all_8_2 = e2 | all_8_2 = e1 |
% 180.28/27.17 | | | | | | | | | | | | | | | | | all_8_2 = e0
% 180.28/27.17 | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 180.28/27.17 | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.17 | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | (13269) all_8_1 = e4
% 180.28/27.17 | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | REF_CLOSE: (574), (13248), (13269) are inconsistent by
% 180.28/27.17 | | | | | | | | | | | | | | | | | | sub-proof #776.
% 180.28/27.17 | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.17 | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | (13270) ~ (all_8_1 = e4)
% 180.28/27.17 | | | | | | | | | | | | | | | | | | (13271) all_8_1 = e3 | all_8_1 = e2 | all_8_1 = e1 |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | all_8_1 = e0
% 180.28/27.17 | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 180.28/27.17 | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | (13272) all_8_15 = e4
% 180.28/27.17 | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (570), (13272) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | (13273) all_4_9 = e4
% 180.28/27.17 | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | REDUCE: (13254), (13273) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | (13274) $false
% 180.28/27.17 | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | CLOSE: (13274) is inconsistent.
% 180.28/27.17 | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | (13275) ~ (all_8_15 = e4)
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | (13276) all_8_15 = e3 | all_8_15 = e2 | all_8_15 = e1 |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | all_8_15 = e0
% 180.28/27.17 | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | BETA: splitting (396) gives:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | (13277) all_12_1 = e4
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (13277) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | (13278) all_4_2 = e4
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | REDUCE: (13248), (13278) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | (13279) $false
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | CLOSE: (13279) is inconsistent.
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | (13280) ~ (all_12_1 = e4)
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | (13281) all_12_3 = e4 | all_12_7 = e4 | all_12_13 = e4 |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | all_12_21 = e4
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | BETA: splitting (381) gives:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | (13282) all_12_6 = e4
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (665), (13250), (13282) are inconsistent by
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | sub-proof #780.
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | (13283) all_12_7 = e4 | all_12_8 = e4 | all_12_11 = e4 |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | all_12_18 = e4
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (371) gives:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | (13284) all_12_12 = e4
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (13254), (13284) are inconsistent by
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | sub-proof #613.
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | (13285) all_12_13 = e4 | all_12_14 = e4 | all_12_15 = e4 |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | all_12_19 = e4
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | (13286) all_8_7 = e4
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (586), (13286) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | (13287) all_4_7 = e4
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13287) implies:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | (13288) all_4_7 = e4
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (518), (13288) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | (13289) all_10_61 = e4
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (707), (13288) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | (13290) ~ (all_4_3 = e4)
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (732), (13288) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | (13291) ~ (all_4_19 = e4)
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (730), (13288) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | (13292) ~ (all_4_20 = e4)
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13292) implies:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | (13293) ~ (all_4_20 = e4)
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (60), (13288) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | (13294) op(all_4_6, e4) = e3
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (59), (13288) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | (13295) op(e4, all_4_6) = e2
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (34), (13288) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | (13296) op(e3, e2) = e4
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (327) gives:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | (13297) all_10_51 = e4
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (512), (13297) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | (13298) all_4_1 = e4
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13241), (13298) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | (13299) $false
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13299) is inconsistent.
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | (13300) ~ (all_10_51 = e4)
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | (13301) all_10_56 = e3 | all_10_61 = e2 | all_10_66 = e1 |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | all_10_71 = e0
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (322) gives:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | (13302) all_10_60 = e4
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (516), (13252), (13302) are inconsistent by
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #685.
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | (13303) ~ (all_10_60 = e4)
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | (13304) all_10_61 = e3 | all_10_62 = e2 | all_10_63 = e1 |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | all_10_64 = e0
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (323) gives:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (13305) all_10_55 = e4
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (500), (13305) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (13306) all_4_2 = e4
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13248), (13306) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (13307) $false
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13307) is inconsistent.
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (13308) all_10_56 = e3 | all_10_57 = e2 | all_10_58 = e1 |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_59 = e0
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13309) all_8_19 = e4
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (551), (13309) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13310) all_4_23 = e4
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (718), (13310) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13311) ~ (all_4_11 = e4)
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13201), (13310) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13312) op(e4, e4) = e0
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13199), (13310) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13313) op(e4, e4) = e1
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13283) gives:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13314) all_12_7 = e4
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (462), (13314) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13315) all_4_6 = e4
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13294), (13315) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13316) op(e4, e4) = e3
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13295), (13315) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13317) op(e4, e4) = e2
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, e0, e4,
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, simplifying with (13259), (13312) gives:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13318) e4 = e0
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, e2, e4,
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, simplifying with (13259), (13317) gives:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13319) e4 = e2
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, e3, e4,
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, simplifying with (13259), (13316) gives:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13320) e4 = e3
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e3, e4,
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, simplifying with (13313), (13316) gives:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13321) e3 = e1
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13318), (13319) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13322) e2 = e0
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13319), (13320) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13323) e3 = e2
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13323) implies:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13324) e3 = e2
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13321), (13324) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13325) e2 = e1
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13325) implies:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13326) e2 = e1
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13322), (13326) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13327) e1 = e0
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (13327) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13328) $false
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13328) is inconsistent.
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13329) ~ (all_12_7 = e4)
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (462), (13329) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13330) ~ (all_4_6 = e4)
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (462), (482), (656), (662), (13197), (13281),
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13290), (13311), (13330) are inconsistent by
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #404.
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13331) ~ (all_8_19 = e4)
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (551), (13331) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13332) ~ (all_4_23 = e4)
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13285) gives:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13333) all_12_13 = e4
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (662), (13333) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13334) all_4_11 = e4
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13334) implies:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13335) all_4_11 = e4
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (13335) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13336) all_10_58 = e4
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (13335) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13337) ~ (all_4_13 = e4)
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13337) implies:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13338) ~ (all_4_13 = e4)
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (717), (13335) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13339) ~ (all_4_15 = e4)
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (13335) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13340) ~ (all_4_18 = e4)
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (718), (13335) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13341) ~ (all_4_23 = e4)
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (55), (13335) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13342) op(e4, all_4_12) = e3
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13180) gives:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13343) all_12_17 = e4
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (470), (13343) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13344) all_4_19 = e4
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12555), (13344) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13345) $false
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13345) is inconsistent.
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13346) all_12_18 = e4 | all_12_19 = e4 | all_12_24 = e4
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13346) gives:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13347) all_12_18 = e4
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (658), (13347) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13348) all_4_21 = e4
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13348) implies:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13349) all_4_21 = e4
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (448), (13349) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13350) all_10_72 = e4
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (13349) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13351) ~ (all_4_6 = e4)
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (736), (13349) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13352) ~ (all_4_8 = e4)
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (753), (13349) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13353) ~ (all_4_14 = e4)
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (325) gives:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13354) all_10_53 = e4
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (534), (13254), (13354) are inconsistent by
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #779.
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13355) ~ (all_10_53 = e4)
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13356) all_10_58 = e3 | all_10_63 = e2 | all_10_68 = e1 |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_73 = e0
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (326) gives:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13357) all_10_52 = e4
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (463), (13250), (13357) are inconsistent by
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #778.
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13358) ~ (all_10_52 = e4)
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13359) all_10_57 = e3 | all_10_62 = e2 | all_10_67 = e1 |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_72 = e0
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (400) gives:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13360) all_12_0 = e1
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13245), (13360) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13361) e4 = e1
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (13361) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13362) $false
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13362) is inconsistent.
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13363) ~ (all_12_0 = e1)
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13364) all_12_1 = e1 | all_12_4 = e1 | all_12_9 = e1 |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_16 = e1
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (402) gives:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13365) all_12_0 = e2
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13245), (13365) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13366) e4 = e2
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13), (13366) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13367) $false
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13367) is inconsistent.
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13368) ~ (all_12_0 = e2)
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13369) all_12_1 = e2 | all_12_4 = e2 | all_12_9 = e2 |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_16 = e2
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (388) gives:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13370) all_12_2 = e1
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (13370) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13371) all_4_1 = e1
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13371) implies:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13372) all_4_1 = e1
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (678), (13372) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13373) ~ (all_4_3 = e1)
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13373) implies:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13374) ~ (all_4_3 = e1)
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (675), (13372) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13375) ~ (all_4_4 = e1)
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13375) implies:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13376) ~ (all_4_4 = e1)
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (676), (13372) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13377) ~ (all_4_9 = e1)
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13377) implies:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13378) ~ (all_4_9 = e1)
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (680), (13372) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13379) ~ (all_4_12 = e1)
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13379) implies:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13380) ~ (all_4_12 = e1)
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (677), (13372) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13381) ~ (all_4_16 = e1)
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13381) implies:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13382) ~ (all_4_16 = e1)
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (65), (13372) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13383) op(e1, all_4_2) = e4
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (401) gives:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13384) all_12_0 = e2
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13245), (13384) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13385) e4 = e2
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13), (13385) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13386) $false
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13386) is inconsistent.
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13387) all_12_2 = e2 | all_12_6 = e2 | all_12_12 = e2 |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_20 = e2
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (373) gives:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13388) all_12_9 = e1
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (13388) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13389) all_4_10 = e1
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13389) implies:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13390) all_4_10 = e1
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (702), (13390) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13391) ~ (all_4_2 = e1)
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (13390) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13392) ~ (all_4_14 = e1)
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13392) implies:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13393) ~ (all_4_14 = e1)
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (13390) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13394) ~ (all_4_15 = e1)
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13394) implies:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13395) ~ (all_4_15 = e1)
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13193), (13390) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13396) ~ (e4 = e1)
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (368) gives:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13397) all_12_12 = e1
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (13397) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13398) all_4_9 = e1
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13378), (13398) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13399) $false
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13399) is inconsistent.
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13400) all_12_13 = e1 | all_12_14 = e1 | all_12_15 = e1 |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_19 = e1
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (378) gives:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13401) all_12_6 = e1
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (13401) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13402) all_4_4 = e1
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13376), (13402) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13403) $false
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13403) is inconsistent.
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13404) all_12_7 = e1 | all_12_8 = e1 | all_12_11 = e1 |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_18 = e1
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (393) gives:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13405) all_12_1 = e1
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (13405) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13406) all_4_2 = e1
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13391), (13406) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13407) $false
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13407) is inconsistent.
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13408) all_12_3 = e1 | all_12_7 = e1 | all_12_13 = e1 |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_21 = e1
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13208) gives:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13409) all_10_59 = e3
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (420), (13409) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13410) all_4_18 = e3
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (656), (13410) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13411) all_12_21 = e3
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (706), (13410) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13412) ~ (all_4_3 = e3)
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (711), (13410) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13413) ~ (all_4_6 = e3)
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13197), (13410) imply:
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13414) ~ (e4 = e3)
% 180.28/27.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13301) gives:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13415) all_10_56 = e3
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (514), (13415) imply:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13416) all_4_3 = e3
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13412), (13416) imply:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13417) $false
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13417) is inconsistent.
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13418) all_10_61 = e2 | all_10_66 = e1 | all_10_71 = e0
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13408) gives:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13419) all_12_3 = e1
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (482), (13419) imply:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13420) all_4_3 = e1
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13374), (13420) imply:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13421) $false
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13421) is inconsistent.
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13422) all_12_7 = e1 | all_12_13 = e1 | all_12_21 = e1
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13422) gives:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13423) all_12_7 = e1
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (462), (13423) imply:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13424) all_4_6 = e1
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (523), (13424) imply:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13425) all_10_57 = e1
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13413), (13424) imply:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13426) ~ (e3 = e1)
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13359) gives:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13427) all_10_57 = e3
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (13425), (13427) are inconsistent by
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #128.
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13428) all_10_62 = e2 | all_10_67 = e1 | all_10_72 = e0
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13428) gives:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13429) all_10_62 = e2
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (455), (13429) imply:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13430) all_4_8 = e2
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (733), (13430) imply:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13431) ~ (all_4_13 = e2)
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13431) implies:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13432) ~ (all_4_13 = e2)
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13352), (13430) imply:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13433) ~ (e4 = e2)
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13356) gives:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13434) all_10_58 = e3
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (13336), (13434) are inconsistent by
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #351.
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13435) all_10_63 = e2 | all_10_68 = e1 | all_10_73 = e0
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13435) gives:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13436) all_10_63 = e2
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (435), (13432), (13436) are inconsistent by
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #560.
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13437) all_10_68 = e1 | all_10_73 = e0
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13437) gives:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13438) all_10_68 = e1
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (431), (13395), (13438) are inconsistent by
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #645.
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13439) all_10_73 = e0
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (654), (13439) imply:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13440) all_4_23 = e0
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13440) implies:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13441) all_4_23 = e0
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (762), (13441) imply:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13442) ~ (all_4_19 = e0)
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (472), (547), (13289), (13380), (13418),
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13442) are inconsistent by sub-proof #463.
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13443) all_10_67 = e1 | all_10_72 = e0
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (532), (13350), (13393), (13443) are
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #127.
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13444) all_12_13 = e1 | all_12_21 = e1
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13444) gives:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13445) all_12_13 = e1
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13333), (13445) imply:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13446) e4 = e1
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (13446) imply:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13447) $false
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13447) is inconsistent.
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13448) all_12_21 = e1
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13411), (13448) imply:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13449) e3 = e1
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (13449) imply:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13450) $false
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13450) is inconsistent.
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13451) ~ (all_10_59 = e3)
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13452) all_10_64 = e2 | all_10_69 = e1 | all_10_74 = e0
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (420), (13451) imply:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13453) ~ (all_4_18 = e3)
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (11), (12), (14), (415), (420), (435),
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (454), (455), (462), (523), (532), (562), (661),
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (664), (733), (734), (8424), (13191), (13208),
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13289), (13304), (13333), (13338), (13347),
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13350), (13359), (13393), (13400), (13404),
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13452), (13453) are inconsistent by sub-proof
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #122.
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13454) ~ (all_12_9 = e1)
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (494), (13454) imply:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13455) ~ (all_4_10 = e1)
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (363) gives:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13456) all_12_16 = e1
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (13456) imply:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13457) all_4_17 = e1
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13457) implies:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13458) all_4_17 = e1
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (759), (13458) imply:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13459) ~ (all_4_23 = e1)
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13459) implies:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13460) ~ (all_4_23 = e1)
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (13), (472), (514), (547), (562), (654),
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (709), (8424), (13184), (13289), (13301), (13350),
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13380), (13460) are inconsistent by sub-proof
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #116.
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13461) ~ (all_12_16 = e1)
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (659), (13461) imply:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13462) ~ (all_4_17 = e1)
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (393) gives:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13463) all_12_1 = e1
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (13463) imply:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13464) all_4_2 = e1
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13383), (13464) imply:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13465) op(e1, e1) = e4
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (13195), (13465), (function-axioms) are
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #705.
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13466) ~ (all_12_1 = e1)
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (666), (13466) imply:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13467) ~ (all_4_2 = e1)
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13364) gives:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13468) all_12_1 = e1
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (13468) imply:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13469) all_4_2 = e1
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13467), (13469) imply:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13470) $false
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13470) is inconsistent.
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13471) all_12_4 = e1 | all_12_9 = e1 | all_12_16 = e1
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13471) gives:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13472) all_12_4 = e1
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (13472) imply:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13473) all_4_5 = e1
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13473) implies:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13474) all_4_5 = e1
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (724), (13474) imply:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13475) ~ (all_4_13 = e1)
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13475) implies:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13476) ~ (all_4_13 = e1)
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13252), (13474) imply:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13477) ~ (e4 = e1)
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (361) gives:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13478) all_12_20 = e3
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (13478) imply:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13479) all_4_16 = e3
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (693), (13479) imply:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13480) ~ (all_4_18 = e3)
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13480) implies:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13481) ~ (all_4_18 = e3)
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (696), (13479) imply:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13482) ~ (all_4_24 = e3)
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13482) implies:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13483) ~ (all_4_24 = e3)
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13208) gives:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13484) all_10_59 = e3
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (420), (13484) imply:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13485) all_4_18 = e3
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13481), (13485) imply:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13486) $false
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13486) is inconsistent.
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13487) all_10_64 = e2 | all_10_69 = e1 | all_10_74 = e0
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13487) gives:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13488) all_10_64 = e2
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (415), (13488) imply:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13489) all_4_20 = e2
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13489) implies:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13490) all_4_20 = e2
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (741), (13490) imply:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13491) ~ (all_4_24 = e2)
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13491) implies:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13492) ~ (all_4_24 = e2)
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13293), (13490) imply:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13493) ~ (e4 = e2)
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (13), (472), (514), (547), (562), (612),
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (654), (709), (766), (8424), (9341), (13184),
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13289), (13301), (13350), (13380), (13483),
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13492) are inconsistent by sub-proof #115.
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13494) all_10_69 = e1 | all_10_74 = e0
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (562), (8424), (13191), (13494) are
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #275.
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13495) ~ (all_12_20 = e3)
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (657), (13495) imply:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13496) ~ (all_4_16 = e3)
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (379) gives:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13497) all_12_6 = e2
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (13497) imply:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13498) all_4_4 = e2
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (13498) imply:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13499) ~ (all_4_8 = e2)
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13499) implies:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13500) ~ (all_4_8 = e2)
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (683), (13498) imply:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13501) ~ (all_4_16 = e2)
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13501) implies:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13502) ~ (all_4_16 = e2)
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (415), (435), (455), (572), (694), (13216),
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13289), (13304), (13382), (13476), (13496),
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13500), (13502) are inconsistent by sub-proof
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #113.
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13503) ~ (all_12_6 = e2)
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (665), (13503) imply:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13504) ~ (all_4_4 = e2)
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (369) gives:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13505) all_12_12 = e2
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (13505) imply:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13506) all_4_9 = e2
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (688), (13506) imply:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13507) ~ (all_4_16 = e2)
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13507) implies:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13508) ~ (all_4_16 = e2)
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13216) gives:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13509) all_8_20 = e3
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (572), (13496), (13509) are inconsistent by
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #579.
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13510) all_8_20 = e2 | all_8_20 = e1 | all_8_20 = e0
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13510) gives:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13511) all_8_20 = e2
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (572), (13508), (13511) are inconsistent by
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #616.
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13512) all_8_20 = e1 | all_8_20 = e0
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13512) gives:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13513) all_8_20 = e1
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (572), (13382), (13513) are inconsistent by
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #635.
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13514) all_8_20 = e0
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (572), (13514) imply:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13515) all_4_16 = e0
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13515) implies:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13516) all_4_16 = e0
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (693), (13516) imply:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13517) ~ (all_4_18 = e0)
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13517) implies:
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13518) ~ (all_4_18 = e0)
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.28/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (694), (13516) imply:
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13519) ~ (all_4_20 = e0)
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13519) implies:
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13520) ~ (all_4_20 = e0)
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (696), (13516) imply:
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13521) ~ (all_4_24 = e0)
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13304) gives:
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13522) all_10_61 = e3
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13289), (13522) imply:
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13523) e4 = e3
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (13523) imply:
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13524) $false
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13524) is inconsistent.
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13525) all_10_62 = e2 | all_10_63 = e1 | all_10_64 = e0
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13525) gives:
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13526) all_10_62 = e2
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (455), (13526) imply:
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13527) all_4_8 = e2
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13527) implies:
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13528) all_4_8 = e2
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (712), (13528) imply:
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13529) ~ (all_4_6 = e2)
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13308) gives:
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13530) all_10_56 = e3
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (514), (13530) imply:
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13531) all_4_3 = e3
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (415), (420), (435), (455), (562), (706),
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (734), (8424), (13191), (13208), (13289), (13290),
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13304), (13476), (13520), (13531) are
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #111.
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13532) all_10_57 = e2 | all_10_58 = e1 | all_10_59 = e0
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (420), (523), (13336), (13518), (13529),
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13532) are inconsistent by sub-proof #412.
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13533) all_10_63 = e1 | all_10_64 = e0
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (415), (435), (572), (694), (13382), (13476),
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13512), (13533) are inconsistent by sub-proof
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #114.
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13534) ~ (all_12_12 = e2)
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (446), (13534) imply:
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13535) ~ (all_4_9 = e2)
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13387) gives:
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13536) all_12_2 = e2
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (13370), (13536) are inconsistent by
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #337.
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13537) all_12_6 = e2 | all_12_12 = e2 | all_12_20 = e2
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13537) gives:
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13538) all_12_6 = e2
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (13538) imply:
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13539) all_4_4 = e2
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13504), (13539) imply:
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13540) $false
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13540) is inconsistent.
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13541) all_12_12 = e2 | all_12_20 = e2
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13541) gives:
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13542) all_12_12 = e2
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (13542) imply:
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13543) all_4_9 = e2
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13535), (13543) imply:
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13544) $false
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13544) is inconsistent.
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13545) all_12_20 = e2
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (13545) imply:
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13546) all_4_16 = e2
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (694), (13546) imply:
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13547) ~ (all_4_20 = e2)
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13547) implies:
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13548) ~ (all_4_20 = e2)
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (696), (13546) imply:
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13549) ~ (all_4_24 = e2)
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13549) implies:
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13550) ~ (all_4_24 = e2)
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13196), (13546) imply:
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13551) ~ (e4 = e2)
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13208) gives:
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13552) all_10_59 = e3
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (420), (13552) imply:
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13553) all_4_18 = e3
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (721), (13553) imply:
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13554) ~ (all_4_24 = e3)
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13554) implies:
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13555) ~ (all_4_24 = e3)
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (13), (472), (514), (547), (562), (612),
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (654), (709), (766), (8424), (9341), (13184),
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13289), (13301), (13350), (13380), (13550),
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13555) are inconsistent by sub-proof #115.
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13556) all_10_64 = e2 | all_10_69 = e1 | all_10_74 = e0
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (415), (562), (8424), (13191), (13548),
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13556) are inconsistent by sub-proof #253.
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13557) all_12_9 = e1 | all_12_16 = e1
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13557) gives:
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13558) all_12_9 = e1
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (494), (13455), (13558) are inconsistent by
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #204.
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13559) all_12_16 = e1
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (659), (13462), (13559) are inconsistent by
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #203.
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13560) ~ (all_12_2 = e1)
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (486), (13560) imply:
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13561) ~ (all_4_1 = e1)
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (399) gives:
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13562) all_12_0 = e1
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13245), (13562) imply:
% 180.68/27.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13563) e4 = e1
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (13563) imply:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13564) $false
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13564) is inconsistent.
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13565) all_12_2 = e1 | all_12_6 = e1 | all_12_12 = e1 |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_20 = e1
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (389) gives:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13566) all_12_2 = e2
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (13566) imply:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13567) all_4_1 = e2
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13567) implies:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13568) all_4_1 = e2
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (675), (13568) imply:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13569) ~ (all_4_4 = e2)
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13569) implies:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13570) ~ (all_4_4 = e2)
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (676), (13568) imply:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13571) ~ (all_4_9 = e2)
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13571) implies:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13572) ~ (all_4_9 = e2)
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (65), (13568) imply:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13573) op(e2, all_4_2) = e4
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (64), (13568) imply:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13574) op(all_4_2, e2) = e3
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (369) gives:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13575) all_12_12 = e2
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (13572), (13575) are inconsistent by
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #516.
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13576) all_12_13 = e2 | all_12_14 = e2 | all_12_15 = e2 |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_19 = e2
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (374) gives:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13577) all_12_9 = e2
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (13577) imply:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13578) all_4_10 = e2
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13578) implies:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13579) all_4_10 = e2
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (702), (13579) imply:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13580) ~ (all_4_2 = e2)
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (13579) imply:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13581) ~ (all_4_14 = e2)
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13581) implies:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13582) ~ (all_4_14 = e2)
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (782), (13579) imply:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13583) op(e2, e1) = all_10_3
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_14,
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_3, e1, e2, simplifying with (28), (13583)
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13584) all_10_3 = all_4_14
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (379) gives:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13585) all_12_6 = e2
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (665), (13570), (13585) are inconsistent by
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #536.
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13586) all_12_7 = e2 | all_12_8 = e2 | all_12_11 = e2 |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_18 = e2
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (395) gives:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13587) all_12_1 = e3
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (13587) imply:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13588) all_4_2 = e3
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (698), (13588) imply:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13589) ~ (all_4_6 = e3)
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13589) implies:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13590) ~ (all_4_6 = e3)
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (700), (13588) imply:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13591) ~ (all_4_18 = e3)
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13591) implies:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13592) ~ (all_4_18 = e3)
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13248), (13588) imply:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13593) ~ (e4 = e3)
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13208) gives:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13594) all_10_59 = e3
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (420), (13592), (13594) are inconsistent by
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #280.
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13595) all_10_64 = e2 | all_10_69 = e1 | all_10_74 = e0
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11), (12), (14), (415), (431), (435), (454),
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (455), (462), (472), (514), (523), (532), (547),
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (562), (654), (664), (709), (712), (734), (737),
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (747), (751), (762), (766), (8424), (13184),
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13191), (13289), (13293), (13301), (13336),
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13347), (13350), (13351), (13356), (13359),
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13582), (13586), (13590), (13595) are
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #108.
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13596) ~ (all_12_1 = e3)
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (666), (13596) imply:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13597) ~ (all_4_2 = e3)
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (12), (19), (28), (393), (415), (420),
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (562), (574), (666), (719), (8424), (13191),
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13208), (13271), (13353), (13573), (13574),
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13580), (13597), (function-axioms) are
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #107.
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13598) ~ (all_12_9 = e2)
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (494), (13598) imply:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13599) ~ (all_4_10 = e2)
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (394) gives:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13600) all_12_1 = e2
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (13600) imply:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13601) all_4_2 = e2
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13574), (13601) imply:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13602) op(e2, e2) = e3
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13573), (13601) imply:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13603) op(e2, e2) = e4
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (29), (13602), (13603), (function-axioms)
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #155.
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13604) ~ (all_12_1 = e2)
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (666), (13604) imply:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13605) ~ (all_4_2 = e2)
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (364) gives:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13606) all_12_16 = e2
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (13606) imply:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13607) all_4_17 = e2
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (759), (13607) imply:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13608) ~ (all_4_23 = e2)
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13608) implies:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13609) ~ (all_4_23 = e2)
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (379) gives:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13610) all_12_6 = e2
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (665), (13570), (13610) are inconsistent by
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #536.
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13611) all_12_7 = e2 | all_12_8 = e2 | all_12_11 = e2 |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_18 = e2
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (395) gives:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13612) all_12_1 = e3
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (13612) imply:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13613) all_4_2 = e3
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (698), (13613) imply:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13614) ~ (all_4_6 = e3)
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13614) implies:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13615) ~ (all_4_6 = e3)
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (700), (13613) imply:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13616) ~ (all_4_18 = e3)
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13616) implies:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13617) ~ (all_4_18 = e3)
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13248), (13613) imply:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13618) ~ (e4 = e3)
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13208) gives:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13619) all_10_59 = e3
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (420), (13617), (13619) are inconsistent by
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #280.
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13620) all_10_64 = e2 | all_10_69 = e1 | all_10_74 = e0
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13620) gives:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13621) all_10_64 = e2
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (415), (13621) imply:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13622) all_4_20 = e2
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13622) implies:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13623) all_4_20 = e2
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (737), (13623) imply:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13624) ~ (all_4_13 = e2)
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13293), (13623) imply:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13625) ~ (e4 = e2)
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13576) gives:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13626) all_12_13 = e2
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (13333), (13626) are inconsistent by
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #524.
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13627) all_12_14 = e2 | all_12_15 = e2 | all_12_19 = e2
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13627) gives:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13628) all_12_14 = e2
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (661), (13628) imply:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13629) all_4_13 = e2
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13629) implies:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13630) all_4_13 = e2
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13624), (13630) imply:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13631) $false
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13631) is inconsistent.
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13632) all_12_15 = e2 | all_12_19 = e2
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13632) gives:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13633) all_12_15 = e2
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (660), (13633) imply:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13634) all_4_15 = e2
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13634) implies:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13635) all_4_15 = e2
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (751), (13635) imply:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13636) ~ (all_4_14 = e2)
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11), (12), (14), (415), (431), (435), (454),
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (455), (462), (472), (514), (523), (532), (547),
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (562), (654), (664), (709), (712), (734), (737),
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (747), (751), (762), (766), (8424), (13184),
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13191), (13289), (13293), (13301), (13336),
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13347), (13350), (13351), (13356), (13359),
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13611), (13615), (13620), (13636) are
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #108.
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13637) all_12_19 = e2
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (430), (13637) imply:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13638) all_4_23 = e2
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13638) implies:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13639) all_4_23 = e2
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13609), (13639) imply:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13640) $false
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13640) is inconsistent.
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13641) all_10_69 = e1 | all_10_74 = e0
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (562), (8424), (13191), (13641) are
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #275.
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13642) ~ (all_12_1 = e3)
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (666), (13642) imply:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13643) ~ (all_4_2 = e3)
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (12), (19), (28), (393), (415), (420),
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (562), (574), (666), (719), (8424), (13191),
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13208), (13271), (13353), (13573), (13574),
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13605), (13643), (function-axioms) are
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #107.
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13644) ~ (all_12_16 = e2)
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (659), (13644) imply:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13645) ~ (all_4_17 = e2)
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13369) gives:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13646) all_12_1 = e2
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (13646) imply:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13647) all_4_2 = e2
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13605), (13647) imply:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13648) $false
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13648) is inconsistent.
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13649) all_12_4 = e2 | all_12_9 = e2 | all_12_16 = e2
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13649) gives:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13650) all_12_4 = e2
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (13650) imply:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13651) all_4_5 = e2
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13651) implies:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13652) all_4_5 = e2
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (725), (13652) imply:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13653) ~ (all_4_20 = e2)
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13653) implies:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13654) ~ (all_4_20 = e2)
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13208) gives:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13655) all_10_59 = e3
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (420), (13655) imply:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13656) all_4_18 = e3
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13656) implies:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13657) all_4_18 = e3
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (700), (13657) imply:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13658) ~ (all_4_2 = e3)
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (12), (19), (28), (393), (415), (420),
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (562), (574), (666), (719), (8424), (13191),
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13208), (13271), (13353), (13573), (13574),
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13605), (13658), (function-axioms) are
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #107.
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13659) all_10_64 = e2 | all_10_69 = e1 | all_10_74 = e0
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (415), (562), (8424), (13191), (13654),
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13659) are inconsistent by sub-proof #253.
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13660) all_12_9 = e2 | all_12_16 = e2
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (494), (659), (13599), (13645), (13660) are
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #144.
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13661) ~ (all_12_2 = e2)
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (486), (13661) imply:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13662) ~ (all_4_1 = e2)
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (401) gives:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13663) all_12_0 = e2
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13245), (13663) imply:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13664) e4 = e2
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13), (13664) imply:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13665) $false
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13665) is inconsistent.
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13666) all_12_2 = e2 | all_12_6 = e2 | all_12_12 = e2 |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_20 = e2
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (363) gives:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13667) all_12_16 = e1
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (13667) imply:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13668) all_4_17 = e1
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13668) implies:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13669) all_4_17 = e1
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (757), (13669) imply:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13670) ~ (all_4_19 = e1)
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13670) implies:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13671) ~ (all_4_19 = e1)
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (759), (13669) imply:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13672) ~ (all_4_23 = e1)
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13672) implies:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13673) ~ (all_4_23 = e1)
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (760), (13669) imply:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13674) ~ (all_4_24 = e1)
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13674) implies:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13675) ~ (all_4_24 = e1)
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13181), (13669) imply:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13676) ~ (e4 = e1)
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (50), (13669) imply:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13677) op(all_4_16, e1) = e4
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13184) gives:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13678) all_10_71 = e3
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (547), (13678) imply:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13679) all_4_19 = e3
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13679) implies:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13680) all_4_19 = e3
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (681), (13680) imply:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13681) ~ (all_4_1 = e3)
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (763), (13680) imply:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13682) ~ (all_4_24 = e3)
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13682) implies:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13683) ~ (all_4_24 = e3)
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13244) gives:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13684) all_8_5 = e3
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (566), (13681), (13684) are inconsistent by
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #764.
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13685) ~ (all_8_5 = e3)
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13686) all_8_5 = e2 | all_8_5 = e1 | all_8_5 = e0
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9341) gives:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13687) all_8_24 = e3
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (612), (13687) imply:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13688) all_4_24 = e3
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13683), (13688) imply:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13689) $false
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13689) is inconsistent.
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13690) all_8_24 = e2 | all_8_24 = e1 | all_8_24 = e0
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13686) gives:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13691) all_8_5 = e2
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (566), (13662), (13691) are inconsistent by
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #763.
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13692) all_8_5 = e1 | all_8_5 = e0
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13692) gives:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13693) all_8_5 = e1
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (566), (13561), (13693) are inconsistent by
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #762.
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13694) all_8_5 = e0
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (566), (13694) imply:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13695) all_4_1 = e0
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13695) implies:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13696) all_4_1 = e0
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (677), (13696) imply:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13697) ~ (all_4_16 = e0)
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13697) implies:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13698) ~ (all_4_16 = e0)
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13241), (13696) imply:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13699) ~ (e4 = e0)
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13681), (13696) imply:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13700) ~ (e3 = e0)
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13561), (13696) imply:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13701) ~ (e1 = e0)
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13690) gives:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13702) all_8_24 = e2
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (612), (13702) imply:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13703) all_4_24 = e2
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13703) implies:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13704) all_4_24 = e2
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (562), (13704) imply:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13705) all_10_74 = e2
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (410), (13704) imply:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13706) all_12_24 = e2
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (741), (13704) imply:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13707) ~ (all_4_20 = e2)
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13208) gives:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13708) all_10_59 = e3
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (420), (13708) imply:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13709) all_4_18 = e3
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (656), (13709) imply:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13710) all_12_21 = e3
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (706), (13709) imply:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13711) ~ (all_4_3 = e3)
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (719), (13709) imply:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13712) ~ (all_4_20 = e3)
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13712) implies:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13713) ~ (all_4_20 = e3)
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8422) gives:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13714) all_12_20 = e0
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (657), (13698), (13714) are inconsistent by
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #106.
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13715) all_12_21 = e0 | all_12_22 = e0 | all_12_23 = e0
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13715) gives:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13716) all_12_21 = e0
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (13710), (13716) are inconsistent by
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #258.
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13717) all_12_22 = e0 | all_12_23 = e0
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13717) gives:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13718) all_12_22 = e0
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (655), (13718) imply:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13719) all_4_20 = e0
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13719) implies:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13720) all_4_20 = e0
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (359) gives:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13721) all_12_20 = e1
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (657), (13195), (13677), (13721),
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #300.
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13722) all_12_21 = e1 | all_12_22 = e1 | all_12_23 = e1 |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_24 = e1
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13722) gives:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13723) all_12_21 = e1
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (13710), (13723) are inconsistent by
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #105.
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13724) all_12_22 = e1 | all_12_23 = e1 | all_12_24 = e1
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13724) gives:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13725) all_12_22 = e1
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13718), (13725) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13726) e1 = e0
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (13726) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13727) $false
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13727) is inconsistent.
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13728) ~ (all_12_22 = e1)
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13729) all_12_23 = e1 | all_12_24 = e1
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13729) gives:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13730) all_12_23 = e1
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (13192), (13730) are inconsistent by
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #104.
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13731) all_12_24 = e1
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13706), (13731) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13732) e2 = e1
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13732) implies:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13733) e2 = e1
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13705), (13733) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13734) all_10_74 = e1
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (11), (12), (431), (472), (514), (523),
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (532), (547), (654), (709), (713), (748), (750),
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13184), (13191), (13211), (13289), (13301),
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13308), (13336), (13350), (13351), (13673),
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13708), (13711), (13734) are inconsistent by
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #102.
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13735) all_12_23 = e0
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (13192), (13735) are inconsistent by
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #255.
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13736) all_10_64 = e2 | all_10_69 = e1 | all_10_74 = e0
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (415), (562), (8424), (13191), (13707),
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13736) are inconsistent by sub-proof #253.
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13737) all_8_24 = e1 | all_8_24 = e0
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (612), (8424), (13675), (13737) are inconsistent
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #273.
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13738) all_10_72 = e2 | all_10_73 = e1 | all_10_74 = e0
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (562), (654), (8424), (13350), (13673),
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13738) are inconsistent by sub-proof #117.
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13739) ~ (all_12_16 = e1)
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (659), (13739) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13740) ~ (all_4_17 = e1)
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (360) gives:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13741) all_12_20 = e2
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (13741) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13742) all_4_16 = e2
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13742) implies:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13743) all_4_16 = e2
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (694), (13743) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13744) ~ (all_4_20 = e2)
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13744) implies:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13745) ~ (all_4_20 = e2)
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (696), (13743) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13746) ~ (all_4_24 = e2)
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13746) implies:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13747) ~ (all_4_24 = e2)
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13208) gives:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13748) all_10_59 = e3
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (420), (13748) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13749) all_4_18 = e3
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13749) implies:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13750) all_4_18 = e3
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (706), (13750) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13751) ~ (all_4_3 = e3)
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (721), (13750) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13752) ~ (all_4_24 = e3)
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13752) implies:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13753) ~ (all_4_24 = e3)
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9341) gives:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13754) all_8_24 = e3
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (612), (13754) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13755) all_4_24 = e3
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13753), (13755) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13756) $false
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13756) is inconsistent.
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13757) all_8_24 = e2 | all_8_24 = e1 | all_8_24 = e0
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13757) gives:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13758) all_8_24 = e2
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (612), (13758) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13759) all_4_24 = e2
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13747), (13759) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13760) $false
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13760) is inconsistent.
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13761) all_8_24 = e1 | all_8_24 = e0
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13761) gives:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13762) all_8_24 = e1
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (612), (13762) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13763) all_4_24 = e1
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (562), (13763) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13764) all_10_74 = e1
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (766), (13763) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13765) ~ (all_4_23 = e1)
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9342), (13763) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13766) ~ (e4 = e1)
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (11), (12), (431), (472), (514), (523),
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (532), (547), (654), (709), (713), (748), (750),
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13184), (13191), (13211), (13289), (13301),
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13308), (13336), (13350), (13351), (13748),
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13751), (13764), (13765) are inconsistent by
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #102.
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13767) all_8_24 = e0
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (612), (13767) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13768) all_4_24 = e0
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8424), (13768) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13769) $false
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13769) is inconsistent.
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13770) all_10_64 = e2 | all_10_69 = e1 | all_10_74 = e0
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (415), (562), (8424), (13191), (13745),
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13770) are inconsistent by sub-proof #253.
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13771) ~ (all_12_20 = e2)
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (657), (13771) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13772) ~ (all_4_16 = e2)
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (368) gives:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13773) all_12_12 = e1
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (13773) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13774) all_4_9 = e1
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13774) implies:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13775) all_4_9 = e1
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (690), (13775) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13776) ~ (all_4_13 = e1)
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13776) implies:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13777) ~ (all_4_13 = e1)
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (691), (13775) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13778) ~ (all_4_15 = e1)
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13778) implies:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13779) ~ (all_4_15 = e1)
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (692), (13775) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13780) ~ (all_4_23 = e1)
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13780) implies:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13781) ~ (all_4_23 = e1)
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13254), (13775) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13782) ~ (e4 = e1)
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13184) gives:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13783) all_10_71 = e3
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (547), (13783) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13784) all_4_19 = e3
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13784) implies:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13785) all_4_19 = e3
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (750), (13785) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13786) ~ (all_4_12 = e3)
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (11), (12), (420), (431), (435), (455),
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (472), (523), (532), (562), (711), (735), (8424),
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13191), (13208), (13211), (13289), (13304),
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13350), (13351), (13359), (13777), (13779),
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13786) are inconsistent by sub-proof #99.
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13787) all_10_72 = e2 | all_10_73 = e1 | all_10_74 = e0
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (562), (654), (8424), (13350), (13781),
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13787) are inconsistent by sub-proof #117.
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13788) ~ (all_12_12 = e1)
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13789) all_12_13 = e1 | all_12_14 = e1 | all_12_15 = e1 |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_19 = e1
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (446), (13788) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13790) ~ (all_4_9 = e1)
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (374) gives:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13791) all_12_9 = e2
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (13791) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13792) all_4_10 = e2
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13792) implies:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13793) all_4_10 = e2
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (726), (13793) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13794) ~ (all_4_5 = e2)
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (746), (13793) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13795) ~ (all_4_17 = e2)
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13795) implies:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13796) ~ (all_4_17 = e2)
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (13793) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13797) op(all_4_9, e2) = e4
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (56), (13793) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13798) op(e2, all_4_9) = e1
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (369) gives:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13799) all_12_12 = e2
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (13799) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13800) all_4_9 = e2
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13797), (13800) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13801) op(e2, e2) = e4
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13798), (13800) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13802) op(e2, e2) = e1
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (29), (13801), (13802), (function-axioms)
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #553.
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13803) ~ (all_12_12 = e2)
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (446), (13803) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13804) ~ (all_4_9 = e2)
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13666) gives:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13805) all_12_2 = e2
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (13805) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13806) all_4_1 = e2
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13662), (13806) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13807) $false
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13807) is inconsistent.
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13808) all_12_6 = e2 | all_12_12 = e2 | all_12_20 = e2
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13808) gives:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13809) all_12_6 = e2
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (13809) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13810) all_4_4 = e2
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (13810) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13811) ~ (all_4_6 = e2)
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13811) implies:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13812) ~ (all_4_6 = e2)
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (13810) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13813) ~ (all_4_8 = e2)
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13813) implies:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13814) ~ (all_4_8 = e2)
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (683), (13810) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13815) ~ (all_4_16 = e2)
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13250), (13810) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13816) ~ (e4 = e2)
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (61), (13810) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13817) op(all_4_5, e2) = e2
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13565) gives:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13818) all_12_2 = e1
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (13818) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13819) all_4_1 = e1
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13561), (13819) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13820) $false
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13820) is inconsistent.
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13821) all_12_6 = e1 | all_12_12 = e1 | all_12_20 = e1
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13821) gives:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13822) all_12_6 = e1
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13809), (13822) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13823) e2 = e1
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (13823) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13824) $false
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13824) is inconsistent.
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13825) all_12_12 = e1 | all_12_20 = e1
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13825) gives:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13826) all_12_12 = e1
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (13826) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13827) all_4_9 = e1
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13790), (13827) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13828) $false
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13828) is inconsistent.
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13829) all_12_20 = e1
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (13829) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13830) all_4_16 = e1
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13772), (13830) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13831) ~ (e2 = e1)
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (49), (13830) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13832) op(all_4_17, e1) = e0
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (812), (13830) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13833) op(e0, e1) = all_10_45
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4,
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_45, e1, e0, simplifying with (13202),
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13833) gives:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13834) all_10_45 = e4
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_2, e2,
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, all_4_5, simplifying with (777), (13817)
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13835) all_10_2 = e2
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (383) gives:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13836) all_12_4 = e1
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (13836) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13837) all_4_5 = e1
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (724), (13837) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13838) ~ (all_4_13 = e1)
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13838) implies:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13839) ~ (all_4_13 = e1)
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13252), (13837) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13840) ~ (e4 = e1)
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12), (14), (415), (420), (435), (455),
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (514), (523), (562), (706), (719), (741), (13191),
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13208), (13289), (13304), (13308), (13336),
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13812), (13814), (13839) are inconsistent by
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #98.
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13841) ~ (all_12_4 = e1)
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (498), (13841) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13842) ~ (all_4_5 = e1)
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13364) gives:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13843) all_12_1 = e1
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (13843) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13844) all_4_2 = e1
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (701), (13844) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13845) ~ (all_4_5 = e1)
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (404) gives:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13846) all_12_0 = e3
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13245), (13846) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13847) e4 = e3
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (13847) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13848) $false
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13848) is inconsistent.
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13849) all_12_1 = e3 | all_12_4 = e3 | all_12_9 = e3 |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_16 = e3
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (398) gives:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13850) all_12_0 = e0
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13245), (13850) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13851) e4 = e0
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (13851) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13852) $false
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13852) is inconsistent.
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13853) all_12_1 = e0 | all_12_4 = e0 | all_12_9 = e0 |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_16 = e0
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (385) gives:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13854) all_12_4 = e3
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (13854) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13855) all_4_5 = e3
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13817), (13855) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13856) op(e3, e2) = e2
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13853) gives:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13857) all_12_1 = e0
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13843), (13857) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13858) e1 = e0
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (13858) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13859) $false
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13859) is inconsistent.
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13860) all_12_4 = e0 | all_12_9 = e0 | all_12_16 = e0
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13860) gives:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13861) all_12_4 = e0
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13854), (13861) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13862) e3 = e0
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (13862) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13863) $false
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13863) is inconsistent.
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13864) all_12_9 = e0 | all_12_16 = e0
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13864) gives:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13865) all_12_9 = e0
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13791), (13865) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13866) e2 = e0
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (13866) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13867) $false
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13867) is inconsistent.
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13868) all_12_16 = e0
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (13868) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13869) all_4_17 = e0
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13796), (13869) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13870) ~ (e2 = e0)
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13832), (13869) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13871) op(e0, e1) = e0
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, e0, e1,
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (13202), (13871) gives:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13872) e4 = e0
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, e2, e2,
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (13296), (13856) gives:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13873) e4 = e2
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13872), (13873) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13874) e2 = e0
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (13874) imply:
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13875) $false
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13875) is inconsistent.
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13876) ~ (all_12_4 = e3)
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (498), (13876) imply:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13877) ~ (all_4_5 = e3)
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13849) gives:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13878) all_12_1 = e3
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (13843), (13878) are inconsistent by
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #97.
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13879) all_12_4 = e3 | all_12_9 = e3 | all_12_16 = e3
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13268) gives:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13880) all_8_2 = e3
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (583), (13880) imply:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13881) all_4_5 = e3
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13877), (13881) imply:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13882) $false
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13882) is inconsistent.
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13883) ~ (all_8_2 = e3)
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13884) all_8_2 = e2 | all_8_2 = e1 | all_8_2 = e0
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13879) gives:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13885) all_12_4 = e3
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (13885) imply:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13886) all_4_5 = e3
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13877), (13886) imply:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13887) $false
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13887) is inconsistent.
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13888) all_12_9 = e3 | all_12_16 = e3
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13884) gives:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13889) all_8_2 = e2
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (583), (13889) imply:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13890) all_4_5 = e2
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13794), (13890) imply:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13891) $false
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13891) is inconsistent.
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13892) all_8_2 = e1 | all_8_2 = e0
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13888) gives:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13893) all_12_9 = e3
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (13791), (13893) are inconsistent by
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #145.
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13894) all_12_16 = e3
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (13894) imply:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13895) all_4_17 = e3
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (757), (13895) imply:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13896) ~ (all_4_19 = e3)
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13896) implies:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13897) ~ (all_4_19 = e3)
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13181), (13895) imply:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13898) ~ (e4 = e3)
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13184) gives:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13899) all_10_71 = e3
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (547), (13897), (13899) are inconsistent by
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #96.
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13900) all_10_72 = e2 | all_10_73 = e1 | all_10_74 = e0
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13853) gives:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13901) all_12_1 = e0
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13843), (13901) imply:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13902) e1 = e0
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (13902) imply:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13903) $false
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13903) is inconsistent.
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13904) all_12_4 = e0 | all_12_9 = e0 | all_12_16 = e0
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13904) gives:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13905) all_12_4 = e0
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (13905) imply:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13906) all_4_5 = e0
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (725), (13906) imply:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13907) ~ (all_4_20 = e0)
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13907) implies:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13908) ~ (all_4_20 = e0)
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13304) gives:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13909) all_10_61 = e3
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (13289), (13909) are inconsistent by
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #496.
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13910) all_10_62 = e2 | all_10_63 = e1 | all_10_64 = e0
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13910) gives:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13911) all_10_62 = e2
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (455), (13814), (13911) are inconsistent by
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #365.
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13912) all_10_63 = e1 | all_10_64 = e0
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (415), (435), (562), (654), (739), (8424),
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13350), (13900), (13908), (13912) are
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #95.
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13913) ~ (all_12_4 = e0)
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (498), (13913) imply:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13914) ~ (all_4_5 = e0)
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (13842), (13892), (13914) are inconsistent
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #641.
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13915) all_12_4 = e1 | all_12_9 = e1 | all_12_16 = e1
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13915) gives:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13916) all_12_4 = e1
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (13916) imply:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13917) all_4_5 = e1
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13842), (13917) imply:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13918) $false
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13918) is inconsistent.
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13919) all_12_9 = e1 | all_12_16 = e1
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (659), (13740), (13791), (13919) are
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #94.
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13920) all_12_12 = e2 | all_12_20 = e2
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (657), (13772), (13804), (13920) are
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #209.
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13921) ~ (all_12_9 = e2)
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (494), (13921) imply:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13922) ~ (all_4_10 = e2)
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (380) gives:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13923) all_12_6 = e3
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (13923) imply:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13924) all_4_4 = e3
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13924) implies:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13925) all_4_4 = e3
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (675), (13925) imply:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13926) ~ (all_4_1 = e3)
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (682), (13925) imply:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13927) ~ (all_4_9 = e3)
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13927) implies:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13928) ~ (all_4_9 = e3)
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13250), (13925) imply:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13929) ~ (e4 = e3)
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13244) gives:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13930) all_8_5 = e3
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (566), (13926), (13930) are inconsistent by
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #764.
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13931) all_8_5 = e2 | all_8_5 = e1 | all_8_5 = e0
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13931) gives:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13932) all_8_5 = e2
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (566), (13662), (13932) are inconsistent by
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #763.
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13933) all_8_5 = e1 | all_8_5 = e0
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13933) gives:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13934) all_8_5 = e1
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (566), (13561), (13934) are inconsistent by
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #762.
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13935) all_8_5 = e0
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (566), (13935) imply:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13936) all_4_1 = e0
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13936) implies:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13937) all_4_1 = e0
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (676), (13937) imply:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13938) ~ (all_4_9 = e0)
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13938) implies:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13939) ~ (all_4_9 = e0)
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (681), (13937) imply:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13940) ~ (all_4_19 = e0)
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13940) implies:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13941) ~ (all_4_19 = e0)
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13561), (13937) imply:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13942) ~ (e1 = e0)
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13276) gives:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13943) all_8_15 = e3
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (570), (13928), (13943) are inconsistent by
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #732.
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13944) all_8_15 = e2 | all_8_15 = e1 | all_8_15 = e0
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13944) gives:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13945) all_8_15 = e2
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (570), (13945) imply:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13946) all_4_9 = e2
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13946) implies:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13947) all_4_9 = e2
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (690), (13947) imply:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13948) ~ (all_4_13 = e2)
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13948) implies:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13949) ~ (all_4_13 = e2)
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13254), (13947) imply:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13950) ~ (e4 = e2)
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (56), (13947) imply:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13951) op(all_4_10, e2) = e1
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (375) gives:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13952) all_12_9 = e3
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (13952) imply:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13953) all_4_10 = e3
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13951), (13953) imply:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13954) op(e3, e2) = e1
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, e1, e2,
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (13296), (13954) gives:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13955) e4 = e1
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (13955) imply:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13956) $false
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13956) is inconsistent.
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13957) ~ (all_12_9 = e3)
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (494), (13957) imply:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13958) ~ (all_4_10 = e3)
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (393) gives:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13959) all_12_1 = e1
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (13959) imply:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13960) all_4_2 = e1
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (702), (13960) imply:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13961) ~ (all_4_10 = e1)
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13961) implies:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13962) ~ (all_4_10 = e1)
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (38), (430), (470), (472), (514), (547),
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (562), (594), (654), (659), (709), (746), (762),
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (766), (8423), (13184), (13193), (13219), (13289),
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13301), (13342), (13347), (13350), (13922),
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13941), (13958), (13962), (function-axioms) are
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #92.
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13963) ~ (all_12_1 = e1)
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (666), (13963) imply:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13964) ~ (all_4_2 = e1)
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (383) gives:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13965) all_12_4 = e1
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (13965) imply:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13966) all_4_5 = e1
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (726), (13966) imply:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13967) ~ (all_4_10 = e1)
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13967) implies:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13968) ~ (all_4_10 = e1)
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (38), (430), (470), (472), (514), (547),
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (562), (594), (654), (659), (709), (746), (762),
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (766), (8423), (13184), (13193), (13219), (13289),
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13301), (13342), (13347), (13350), (13922),
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13941), (13958), (13968), (function-axioms) are
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #92.
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13969) ~ (all_12_4 = e1)
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (498), (13969) imply:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13970) ~ (all_4_5 = e1)
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13364) gives:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13971) all_12_1 = e1
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (13971) imply:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13972) all_4_2 = e1
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13964), (13972) imply:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13973) $false
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13973) is inconsistent.
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13974) all_12_4 = e1 | all_12_9 = e1 | all_12_16 = e1
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13), (14), (431), (435), (472), (494),
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (498), (514), (547), (562), (654), (659), (709),
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (742), (744), (762), (766), (13184), (13289),
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13301), (13336), (13350), (13356), (13740),
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13949), (13970), (13974) are inconsistent by
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #91.
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13975) all_8_15 = e1 | all_8_15 = e0
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (570), (13790), (13939), (13975) are inconsistent
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #729.
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13976) ~ (all_12_6 = e3)
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (665), (13976) imply:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13977) ~ (all_4_4 = e3)
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (403) gives:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13978) all_12_0 = e3
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13245), (13978) imply:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13979) e4 = e3
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (13979) imply:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13980) $false
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13980) is inconsistent.
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13981) ~ (all_12_0 = e3)
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13982) all_12_2 = e3 | all_12_6 = e3 | all_12_12 = e3 |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_20 = e3
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (393) gives:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13983) all_12_1 = e1
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (13983) imply:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13984) all_4_2 = e1
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (700), (13984) imply:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13985) ~ (all_4_18 = e1)
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13985) implies:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13986) ~ (all_4_18 = e1)
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (64), (13984) imply:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13987) op(e1, all_4_1) = e3
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (359) gives:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13988) all_12_20 = e1
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (13988) imply:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13989) all_4_16 = e1
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13989) implies:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13990) all_4_16 = e1
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13772), (13990) imply:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13991) ~ (e2 = e1)
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (9), (11), (13), (22), (390), (420),
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (431), (435), (446), (455), (472), (486), (523),
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (532), (547), (562), (566), (654), (665), (676),
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (680), (681), (692), (711), (735), (739), (755),
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8424), (13184), (13191), (13208), (13211),
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13244), (13289), (13304), (13332), (13350),
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13351), (13359), (13561), (13662), (13977),
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13982), (13987), (13988), (function-axioms) are
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #89.
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13992) all_12_21 = e1 | all_12_22 = e1 | all_12_23 = e1 |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_24 = e1
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13565) gives:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13993) all_12_2 = e1
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (13561), (13993) are inconsistent by
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #561.
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13994) all_12_6 = e1 | all_12_12 = e1 | all_12_20 = e1
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13994) gives:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13995) all_12_6 = e1
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (13995) imply:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13996) all_4_4 = e1
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13996) implies:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13997) all_4_4 = e1
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (682), (13997) imply:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13998) ~ (all_4_9 = e1)
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13250), (13997) imply:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13999) ~ (e4 = e1)
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13977), (13997) imply:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14000) ~ (e3 = e1)
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13666) gives:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14001) all_12_2 = e2
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (13662), (14001) are inconsistent by
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #682.
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14002) all_12_6 = e2 | all_12_12 = e2 | all_12_20 = e2
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14002) gives:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14003) all_12_6 = e2
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13995), (14003) imply:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14004) e2 = e1
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (14004) imply:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14005) $false
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14005) is inconsistent.
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14006) all_12_12 = e2 | all_12_20 = e2
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14006) gives:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14007) all_12_12 = e2
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (14007) imply:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14008) all_4_9 = e2
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14008) implies:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14009) all_4_9 = e2
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13254), (14009) imply:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14010) ~ (e4 = e2)
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (390) gives:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14011) all_12_2 = e3
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (11), (13), (420), (431), (435), (455),
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (472), (486), (523), (532), (547), (562), (654),
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (680), (681), (711), (735), (739), (755), (8424),
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13184), (13191), (13208), (13211), (13289),
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13304), (13332), (13350), (13351), (13359),
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14011) are inconsistent by sub-proof #88.
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14012) ~ (all_12_2 = e3)
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (486), (14012) imply:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14013) ~ (all_4_1 = e3)
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13982) gives:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14014) all_12_2 = e3
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (14014) imply:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14015) all_4_1 = e3
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14013), (14015) imply:
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14016) $false
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14016) is inconsistent.
% 180.68/27.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14017) all_12_6 = e3 | all_12_12 = e3 | all_12_20 = e3
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14017) gives:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14018) all_12_6 = e3
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13995), (14018) imply:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14019) e3 = e1
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (14019) imply:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14020) $false
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14020) is inconsistent.
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14021) all_12_12 = e3 | all_12_20 = e3
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13244) gives:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14022) all_8_5 = e3
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (566), (14013), (14022) are inconsistent by
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #764.
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14023) all_8_5 = e2 | all_8_5 = e1 | all_8_5 = e0
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14023) gives:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14024) all_8_5 = e2
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (566), (13662), (14024) are inconsistent by
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #763.
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14025) all_8_5 = e1 | all_8_5 = e0
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14025) gives:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14026) all_8_5 = e1
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (566), (13561), (14026) are inconsistent by
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #762.
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14027) all_8_5 = e0
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (566), (14027) imply:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14028) all_4_1 = e0
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14028) implies:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14029) all_4_1 = e0
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13987), (14029) imply:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14030) op(e1, e0) = e3
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14021) gives:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14031) all_12_12 = e3
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14007), (14031) imply:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14032) e3 = e2
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (14032) imply:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14033) $false
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14033) is inconsistent.
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14034) all_12_20 = e3
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (14034) imply:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14035) all_4_16 = e3
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14035) implies:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14036) all_4_16 = e3
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (693), (14036) imply:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14037) ~ (all_4_18 = e3)
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14037) implies:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14038) ~ (all_4_18 = e3)
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13208) gives:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14039) all_10_59 = e3
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (420), (14038), (14039) are inconsistent by
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #280.
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14040) all_10_64 = e2 | all_10_69 = e1 | all_10_74 = e0
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14040) gives:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14041) all_10_64 = e2
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (415), (14041) imply:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14042) all_4_20 = e2
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14042) implies:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14043) all_4_20 = e2
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (655), (14043) imply:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14044) all_12_22 = e2
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13992) gives:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14045) all_12_21 = e1
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (656), (14045) imply:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14046) all_4_18 = e1
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14046) implies:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14047) all_4_18 = e1
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13986), (14047) imply:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14048) $false
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14048) is inconsistent.
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14049) all_12_22 = e1 | all_12_23 = e1 | all_12_24 = e1
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14049) gives:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14050) all_12_22 = e1
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (14044), (14050) are inconsistent by
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #278.
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14051) all_12_23 = e1 | all_12_24 = e1
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14051) gives:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14052) all_12_23 = e1
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (13192), (14052) are inconsistent by
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #104.
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14053) all_12_24 = e1
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (410), (14053) imply:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14054) all_4_24 = e1
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14054) implies:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14055) all_4_24 = e1
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (766), (14055) imply:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14056) ~ (all_4_23 = e1)
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12554) gives:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14057) all_8_9 = e3
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (606), (14057) imply:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14058) all_4_19 = e3
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (762), (14058) imply:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14059) ~ (all_4_23 = e3)
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14059) implies:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14060) ~ (all_4_23 = e3)
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (14030), (14060), (function-axioms) are
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #336.
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14061) ~ (all_8_9 = e3)
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (606), (14061) imply:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14062) ~ (all_4_19 = e3)
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (547), (562), (654), (8424), (13184),
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13350), (14056), (14062) are inconsistent by
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #87.
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14063) all_10_69 = e1 | all_10_74 = e0
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (562), (8424), (13191), (14063) are
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #275.
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14064) all_12_20 = e2
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (14064) imply:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14065) all_4_16 = e2
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14065) implies:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14066) all_4_16 = e2
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13772), (14066) imply:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14067) $false
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14067) is inconsistent.
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14068) all_12_12 = e1 | all_12_20 = e1
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14068) gives:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14069) all_12_12 = e1
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (13790), (14069) are inconsistent by
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #468.
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14070) all_12_20 = e1
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (9), (11), (13), (22), (390), (420),
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (431), (435), (446), (455), (472), (486), (523),
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (532), (547), (562), (566), (654), (665), (676),
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (680), (681), (692), (711), (735), (739), (755),
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8424), (13184), (13191), (13208), (13211),
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13244), (13289), (13304), (13332), (13350),
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13351), (13359), (13561), (13662), (13977),
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13982), (13987), (14070), (function-axioms) are
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #89.
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14071) ~ (all_12_1 = e1)
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (666), (14071) imply:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14072) ~ (all_4_2 = e1)
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (390) gives:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14073) all_12_2 = e3
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (11), (13), (420), (431), (435), (455),
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (472), (486), (523), (532), (547), (562), (654),
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (680), (681), (711), (735), (739), (755), (8424),
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13184), (13191), (13208), (13211), (13289),
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13304), (13332), (13350), (13351), (13359),
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14073) are inconsistent by sub-proof #88.
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14074) ~ (all_12_2 = e3)
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (486), (14074) imply:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14075) ~ (all_4_1 = e3)
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13244) gives:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14076) all_8_5 = e3
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (566), (14076) imply:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14077) all_4_1 = e3
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14075), (14077) imply:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14078) $false
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14078) is inconsistent.
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14079) all_8_5 = e2 | all_8_5 = e1 | all_8_5 = e0
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14079) gives:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14080) all_8_5 = e2
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (566), (14080) imply:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14081) all_4_1 = e2
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13662), (14081) imply:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14082) $false
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14082) is inconsistent.
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14083) ~ (all_8_5 = e2)
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14084) all_8_5 = e1 | all_8_5 = e0
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14084) gives:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14085) all_8_5 = e1
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (566), (14085) imply:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14086) all_4_1 = e1
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13561), (14086) imply:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14087) $false
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14087) is inconsistent.
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14088) all_8_5 = e0
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (566), (14088) imply:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14089) all_4_1 = e0
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (681), (14089) imply:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14090) ~ (all_4_19 = e0)
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14090) implies:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14091) ~ (all_4_19 = e0)
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13241), (14089) imply:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14092) ~ (e4 = e0)
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13662), (14089) imply:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14093) ~ (e2 = e0)
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13561), (14089) imply:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14094) ~ (e1 = e0)
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (65), (14089) imply:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14095) op(e0, all_4_2) = e4
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (392) gives:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14096) all_12_1 = e0
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (14096) imply:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14097) all_4_2 = e0
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14095), (14097) imply:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14098) op(e0, e0) = e4
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (9342), (14098), (function-axioms) are
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #186.
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14099) ~ (all_12_1 = e0)
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (666), (14099) imply:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14100) ~ (all_4_2 = e0)
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13271) gives:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14101) all_8_1 = e3
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (574), (14101) imply:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14102) all_4_2 = e3
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14102) implies:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14103) all_4_2 = e3
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (697), (14103) imply:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14104) ~ (all_4_3 = e3)
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14104) implies:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14105) ~ (all_4_3 = e3)
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (702), (14103) imply:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14106) ~ (all_4_10 = e3)
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14106) implies:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14107) ~ (all_4_10 = e3)
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (38), (472), (514), (547), (13289), (13301),
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13342), (14091), (14105), (14107),
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #93.
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14108) all_8_1 = e2 | all_8_1 = e1 | all_8_1 = e0
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14108) gives:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14109) all_8_1 = e2
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (574), (14109) imply:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14110) all_4_2 = e2
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14110) implies:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14111) all_4_2 = e2
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (14111) imply:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14112) all_12_1 = e2
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (379) gives:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14113) all_12_6 = e2
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (14113) imply:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14114) all_4_4 = e2
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (14114) imply:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14115) ~ (all_4_6 = e2)
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14115) implies:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14116) ~ (all_4_6 = e2)
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (14114) imply:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14117) ~ (all_4_8 = e2)
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14117) implies:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14118) ~ (all_4_8 = e2)
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (378) gives:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14119) all_12_6 = e1
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14113), (14119) imply:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14120) e2 = e1
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (14120) imply:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14121) $false
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14121) is inconsistent.
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14122) ~ (all_12_6 = e1)
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14123) all_12_7 = e1 | all_12_8 = e1 | all_12_11 = e1 |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_18 = e1
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (383) gives:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14124) all_12_4 = e1
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (14124) imply:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14125) all_4_5 = e1
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (724), (14125) imply:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14126) ~ (all_4_13 = e1)
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14126) implies:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14127) ~ (all_4_13 = e1)
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13252), (14125) imply:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14128) ~ (e4 = e1)
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12), (14), (415), (420), (435), (455),
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (514), (523), (562), (706), (719), (741), (13191),
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13208), (13289), (13304), (13308), (13336),
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14116), (14118), (14127) are inconsistent by
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #98.
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14129) ~ (all_12_4 = e1)
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (498), (14129) imply:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14130) ~ (all_4_5 = e1)
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13364) gives:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14131) all_12_1 = e1
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14112), (14131) imply:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14132) e2 = e1
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (14132) imply:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14133) $false
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14133) is inconsistent.
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14134) all_12_4 = e1 | all_12_9 = e1 | all_12_16 = e1
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14134) gives:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14135) all_12_4 = e1
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (14135) imply:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14136) all_4_5 = e1
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14130), (14136) imply:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14137) $false
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14137) is inconsistent.
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14138) all_12_9 = e1 | all_12_16 = e1
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14138) gives:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14139) all_12_9 = e1
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (14139) imply:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14140) all_4_10 = e1
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (14140) imply:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14141) ~ (all_4_14 = e1)
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14141) implies:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14142) ~ (all_4_14 = e1)
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13193), (14140) imply:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14143) ~ (e4 = e1)
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13359) gives:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14144) all_10_57 = e3
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (523), (14144) imply:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14145) all_4_6 = e3
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (711), (14145) imply:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14146) ~ (all_4_18 = e3)
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14146) implies:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14147) ~ (all_4_18 = e3)
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13351), (14145) imply:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14148) ~ (e4 = e3)
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13208) gives:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14149) all_10_59 = e3
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (420), (14149) imply:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14150) all_4_18 = e3
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14147), (14150) imply:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14151) $false
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14151) is inconsistent.
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14152) ~ (all_10_59 = e3)
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14153) all_10_64 = e2 | all_10_69 = e1 | all_10_74 = e0
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (11), (12), (14), (415), (420), (435),
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (454), (455), (462), (523), (532), (562), (661),
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (664), (733), (734), (8424), (13191), (13208),
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13289), (13304), (13333), (13338), (13347),
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13350), (13359), (13789), (14123), (14142),
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14147), (14153) are inconsistent by sub-proof
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #122.
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14154) all_10_62 = e2 | all_10_67 = e1 | all_10_72 = e0
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (455), (532), (13350), (14118), (14142),
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14154) are inconsistent by sub-proof #356.
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14155) all_12_16 = e1
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (14155) imply:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14156) all_4_17 = e1
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13740), (14156) imply:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14157) $false
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14157) is inconsistent.
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14158) ~ (all_12_6 = e2)
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (665), (14158) imply:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14159) ~ (all_4_4 = e2)
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13666) gives:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14160) all_12_2 = e2
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (14160) imply:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14161) all_4_1 = e2
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13662), (14161) imply:
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14162) $false
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14162) is inconsistent.
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14163) all_12_6 = e2 | all_12_12 = e2 | all_12_20 = e2
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14163) gives:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14164) all_12_6 = e2
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (14164) imply:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14165) all_4_4 = e2
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14159), (14165) imply:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14166) $false
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14166) is inconsistent.
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14167) all_12_12 = e2 | all_12_20 = e2
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14167) gives:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14168) all_12_12 = e2
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (14168) imply:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14169) all_4_9 = e2
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (690), (14169) imply:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14170) ~ (all_4_13 = e2)
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14170) implies:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14171) ~ (all_4_13 = e2)
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (688), (14169) imply:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14172) ~ (all_4_16 = e2)
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13254), (14169) imply:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14173) ~ (e4 = e2)
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (359) gives:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14174) all_12_20 = e1
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (14174) imply:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14175) all_4_16 = e1
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (683), (14175) imply:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14176) ~ (all_4_4 = e1)
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13772), (14175) imply:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14177) ~ (e2 = e1)
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13266) gives:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14178) all_8_10 = e3
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (568), (13977), (14178) are inconsistent by
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #661.
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14179) ~ (all_8_10 = e3)
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14180) all_8_10 = e2 | all_8_10 = e1 | all_8_10 = e0
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14180) gives:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14181) all_8_10 = e2
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (568), (14159), (14181) are inconsistent by
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #660.
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14182) ~ (all_8_10 = e2)
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14183) all_8_10 = e1 | all_8_10 = e0
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14183) gives:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14184) all_8_10 = e1
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (568), (14176), (14184) are inconsistent by
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #719.
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14185) all_8_10 = e0
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (568), (14185) imply:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14186) all_4_4 = e0
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14186) implies:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14187) all_4_4 = e0
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (14187) imply:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14188) all_12_6 = e0
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13977), (14187) imply:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14189) ~ (e3 = e0)
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13982) gives:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14190) all_12_2 = e3
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (11), (13), (420), (431), (435), (455),
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (472), (486), (523), (532), (547), (562), (654),
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (680), (681), (711), (735), (739), (755), (8424),
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13184), (13191), (13208), (13211), (13289),
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13304), (13332), (13350), (13351), (13359),
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14190) are inconsistent by sub-proof #88.
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14191) all_12_6 = e3 | all_12_12 = e3 | all_12_20 = e3
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14191) gives:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14192) all_12_6 = e3
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (14188), (14192) are inconsistent by
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #86.
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14193) all_12_12 = e3 | all_12_20 = e3
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14193) gives:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14194) all_12_12 = e3
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (14168), (14194) are inconsistent by
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #492.
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14195) all_12_20 = e3
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (14174), (14195) are inconsistent by
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #537.
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14196) ~ (all_12_20 = e1)
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (657), (14196) imply:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14197) ~ (all_4_16 = e1)
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13565) gives:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14198) all_12_2 = e1
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (14198) imply:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14199) all_4_1 = e1
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13561), (14199) imply:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14200) $false
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14200) is inconsistent.
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14201) all_12_6 = e1 | all_12_12 = e1 | all_12_20 = e1
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14201) gives:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14202) all_12_6 = e1
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (14202) imply:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14203) all_4_4 = e1
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14159), (14203) imply:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14204) ~ (e2 = e1)
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (14203) imply:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14205) op(e1, all_4_5) = e4
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (383) gives:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14206) all_12_4 = e1
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (14206) imply:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14207) all_4_5 = e1
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14205), (14207) imply:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14208) op(e1, e1) = e4
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (13195), (14208), (function-axioms) are
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #705.
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14209) ~ (all_12_4 = e1)
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (498), (14209) imply:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14210) ~ (all_4_5 = e1)
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13364) gives:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14211) all_12_1 = e1
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14112), (14211) imply:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14212) e2 = e1
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (14212) imply:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14213) $false
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14213) is inconsistent.
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14214) all_12_4 = e1 | all_12_9 = e1 | all_12_16 = e1
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13), (14), (431), (435), (472), (494),
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (498), (514), (547), (562), (654), (659), (709),
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (742), (744), (762), (766), (13184), (13289),
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13301), (13336), (13350), (13356), (13740),
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14171), (14210), (14214) are inconsistent by
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #91.
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14215) all_12_12 = e1 | all_12_20 = e1
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (657), (14168), (14197), (14215) are
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #85.
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14216) all_12_20 = e2
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (14216) imply:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14217) all_4_16 = e2
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13772), (14217) imply:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14218) $false
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14218) is inconsistent.
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14219) all_8_1 = e1 | all_8_1 = e0
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14219) gives:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14220) all_8_1 = e1
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (574), (14072), (14220) are inconsistent by
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #745.
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14221) all_8_1 = e0
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (574), (14100), (14221) are inconsistent by
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #597.
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14222) all_12_19 = e4 | all_12_24 = e4
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (410), (430), (9342), (13332), (14222) are
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #84.
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14223) ~ (all_12_13 = e4)
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (662), (14223) imply:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14224) ~ (all_4_11 = e4)
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13180) gives:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14225) all_12_17 = e4
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (470), (14225) imply:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14226) all_4_19 = e4
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12555), (14226) imply:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14227) $false
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14227) is inconsistent.
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14228) all_12_18 = e4 | all_12_19 = e4 | all_12_24 = e4
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13281) gives:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14229) all_12_3 = e4
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (482), (14229) imply:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14230) all_4_3 = e4
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13290), (14230) imply:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14231) $false
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14231) is inconsistent.
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14232) all_12_7 = e4 | all_12_13 = e4 | all_12_21 = e4
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (410), (430), (462), (656), (658), (662), (714),
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9342), (13197), (13332), (14224), (14228),
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14232) are inconsistent by sub-proof #83.
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | (14233) ~ (all_8_7 = e4)
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (586), (14233) imply:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | (14234) ~ (all_4_7 = e4)
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (63), (470), (478), (482), (663), (12555),
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | (13194), (13240), (13259), (14234),
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | #532.
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.23 | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.23 | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | End of split
% 180.68/27.23 | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | End of split
% 180.68/27.23 | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | End of split
% 180.68/27.23 | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | Case 2:
% 180.68/27.23 | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | (14235) ~ (all_12_0 = e4)
% 180.68/27.23 | | | | | | | | | | | | | | | (14236) all_12_2 = e4 | all_12_6 = e4 | all_12_12 = e4 |
% 180.68/27.23 | | | | | | | | | | | | | | | all_12_20 = e4
% 180.68/27.23 | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | REDUCE: (506), (14235) imply:
% 180.68/27.23 | | | | | | | | | | | | | | | (14237) ~ (all_4_0 = e4)
% 180.68/27.23 | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | BETA: splitting (406) gives:
% 180.68/27.23 | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | Case 1:
% 180.68/27.23 | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | (14238) all_12_0 = e4
% 180.68/27.23 | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (14238) imply:
% 180.68/27.23 | | | | | | | | | | | | | | | | (14239) all_4_0 = e4
% 180.68/27.23 | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | REDUCE: (14237), (14239) imply:
% 180.68/27.23 | | | | | | | | | | | | | | | | (14240) $false
% 180.68/27.23 | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | CLOSE: (14240) is inconsistent.
% 180.68/27.23 | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | Case 2:
% 180.68/27.23 | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | (14241) all_12_1 = e4 | all_12_4 = e4 | all_12_9 = e4 |
% 180.68/27.23 | | | | | | | | | | | | | | | | all_12_16 = e4
% 180.68/27.23 | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 180.68/27.23 | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.23 | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | (14242) all_8_0 = e4
% 180.68/27.23 | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | REF_CLOSE: (564), (14237), (14242) are inconsistent by
% 180.68/27.23 | | | | | | | | | | | | | | | | | sub-proof #706.
% 180.68/27.23 | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.23 | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | (14243) all_8_0 = e3 | all_8_0 = e2 | all_8_0 = e1 |
% 180.68/27.23 | | | | | | | | | | | | | | | | | all_8_0 = e0
% 180.68/27.23 | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 180.68/27.23 | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.23 | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | (14244) all_8_17 = e4
% 180.68/27.23 | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (590), (14244) imply:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | (14245) all_4_13 = e4
% 180.68/27.23 | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | REDUCE: (724), (14245) imply:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | (14246) ~ (all_4_5 = e4)
% 180.68/27.23 | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | REDUCE: (729), (14245) imply:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | (14247) ~ (all_4_7 = e4)
% 180.68/27.23 | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | REF_CLOSE: (470), (478), (482), (494), (498), (659), (663),
% 180.68/27.23 | | | | | | | | | | | | | | | | | | (666), (697), (12555), (13181), (13193), (13194),
% 180.68/27.23 | | | | | | | | | | | | | | | | | | (13240), (14241), (14246), (14247) are
% 180.68/27.23 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #314.
% 180.68/27.23 | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.23 | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | (14248) all_8_17 = e3 | all_8_17 = e2 | all_8_17 = e1 |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | all_8_17 = e0
% 180.68/27.23 | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | BETA: splitting (371) gives:
% 180.68/27.23 | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | (14249) all_12_12 = e4
% 180.68/27.23 | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (14249) imply:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | (14250) all_4_9 = e4
% 180.68/27.23 | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | SIMP: (14250) implies:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | (14251) all_4_9 = e4
% 180.68/27.23 | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (534), (14251) imply:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | (14252) all_10_53 = e4
% 180.68/27.23 | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | REDUCE: (689), (14251) imply:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | (14253) ~ (all_4_11 = e4)
% 180.68/27.23 | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | SIMP: (14253) implies:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | (14254) ~ (all_4_11 = e4)
% 180.68/27.23 | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | REDUCE: (691), (14251) imply:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | (14255) ~ (all_4_15 = e4)
% 180.68/27.23 | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | REDUCE: (688), (14251) imply:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | (14256) ~ (all_4_16 = e4)
% 180.68/27.23 | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | REDUCE: (692), (14251) imply:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | (14257) ~ (all_4_23 = e4)
% 180.68/27.23 | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | SIMP: (14257) implies:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | (14258) ~ (all_4_23 = e4)
% 180.68/27.23 | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | REDUCE: (770), (14251) imply:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | (14259) op(e4, e4) = all_10_15
% 180.68/27.23 | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | REDUCE: (56), (14251) imply:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | (14260) op(all_4_10, e4) = e1
% 180.68/27.23 | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | BETA: splitting (13180) gives:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | (14261) all_12_17 = e4
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (470), (14261) imply:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | (14262) all_4_19 = e4
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | REDUCE: (12555), (14262) imply:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | (14263) $false
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | CLOSE: (14263) is inconsistent.
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | (14264) all_12_18 = e4 | all_12_19 = e4 | all_12_24 = e4
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | BETA: splitting (14264) gives:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | (14265) all_12_18 = e4
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (658), (14265) imply:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | (14266) all_4_21 = e4
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (448), (14266) imply:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | (14267) all_10_72 = e4
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | REDUCE: (687), (14266) imply:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | (14268) ~ (all_4_4 = e4)
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (14266) imply:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | (14269) ~ (all_4_6 = e4)
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_0,
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | all_10_15, e4, e4, simplifying with (41), (14259)
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | gives:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | (14270) all_10_15 = all_4_0
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (329) gives:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | (14271) all_10_50 = e4
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (508), (14237), (14271) are inconsistent by
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | sub-proof #631.
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | (14272) all_10_51 = e3 | all_10_52 = e2 | all_10_53 = e1 |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | all_10_54 = e0
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (396) gives:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | (14273) all_12_1 = e4
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (14273) imply:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | (14274) all_4_2 = e4
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (500), (14274) imply:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | (14275) all_10_55 = e4
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (701), (14274) imply:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | (14276) ~ (all_4_5 = e4)
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14276) implies:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | (14277) ~ (all_4_5 = e4)
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (698), (14274) imply:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | (14278) ~ (all_4_6 = e4)
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (702), (14274) imply:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | (14279) ~ (all_4_10 = e4)
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (703), (14274) imply:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | (14280) ~ (all_4_17 = e4)
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (64), (14274) imply:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | (14281) op(e4, all_4_1) = e3
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (386) gives:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | (14282) all_12_4 = e4
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (14277), (14282) are inconsistent by
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #686.
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | (14283) ~ (all_12_4 = e4)
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | (14284) all_12_5 = e4 | all_12_8 = e4 | all_12_14 = e4 |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | all_12_22 = e4
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14284) gives:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | (14285) all_12_5 = e4
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (14285) imply:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | (14286) all_4_7 = e4
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14286) implies:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | (14287) all_4_7 = e4
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (518), (14287) imply:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | (14288) all_10_61 = e4
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (707), (14287) imply:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | (14289) ~ (all_4_3 = e4)
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (799), (14287) imply:
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | | (14290) op(e3, e4) = all_10_32
% 180.68/27.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_1,
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | all_10_32, e4, e3, simplifying with (36), (14290)
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | (14291) all_10_32 = all_4_1
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (326) gives:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (14292) all_10_52 = e4
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (463), (14268), (14292) are inconsistent by
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #778.
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (14293) ~ (all_10_52 = e4)
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (14294) all_10_57 = e3 | all_10_62 = e2 | all_10_67 = e1 |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_72 = e0
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (327) gives:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14295) all_10_51 = e4
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (512), (13241), (14295) are inconsistent by
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #472.
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14296) ~ (all_10_51 = e4)
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14297) all_10_56 = e3 | all_10_61 = e2 | all_10_66 = e1 |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_71 = e0
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (322) gives:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14298) all_10_60 = e4
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (516), (14277), (14298) are inconsistent by
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #685.
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14299) ~ (all_10_60 = e4)
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14300) all_10_61 = e3 | all_10_62 = e2 | all_10_63 = e1 |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_64 = e0
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (328) gives:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14301) all_10_50 = e4
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (508), (14237), (14301) are inconsistent by
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #631.
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14302) ~ (all_10_50 = e4)
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14303) all_10_55 = e3 | all_10_60 = e2 | all_10_65 = e1 |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_70 = e0
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14304) all_8_10 = e4
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (568), (14268), (14304) are inconsistent by
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #781.
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14305) ~ (all_8_10 = e4)
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14306) all_8_10 = e3 | all_8_10 = e2 | all_8_10 = e1 |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_10 = e0
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (359) gives:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14307) all_12_20 = e1
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (14307) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14308) all_4_16 = e1
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14308) implies:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14309) all_4_16 = e1
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (424), (14309) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14310) all_10_54 = e1
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (670), (14309) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14311) ~ (all_4_0 = e1)
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (683), (14309) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14312) ~ (all_4_4 = e1)
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13196), (14309) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14313) ~ (e4 = e1)
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (403) gives:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14314) all_12_0 = e3
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (14314) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14315) all_4_0 = e3
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (66), (14315) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14316) op(e3, e3) = e4
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (14289), (14316), (function-axioms) are
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #704.
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14317) ~ (all_12_0 = e3)
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (506), (14317) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14318) ~ (all_4_0 = e3)
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (401) gives:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14319) all_12_0 = e2
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (14319) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14320) all_4_0 = e2
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (668), (14320) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14321) ~ (all_4_4 = e2)
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14321) implies:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14322) ~ (all_4_4 = e2)
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14237), (14320) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14323) ~ (e4 = e2)
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14272) gives:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14324) all_10_51 = e3
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (512), (14324) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14325) all_4_1 = e3
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14325) implies:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14326) all_4_1 = e3
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (14326) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14327) all_12_2 = e3
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (675), (14326) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14328) ~ (all_4_4 = e3)
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14328) implies:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14329) ~ (all_4_4 = e3)
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (680), (14326) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14330) ~ (all_4_12 = e3)
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14330) implies:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14331) ~ (all_4_12 = e3)
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (681), (14326) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14332) ~ (all_4_19 = e3)
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14332) implies:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14333) ~ (all_4_19 = e3)
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13184) gives:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14334) all_10_71 = e3
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (547), (14333), (14334) are inconsistent by
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #96.
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14335) all_10_72 = e2 | all_10_73 = e1 | all_10_74 = e0
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (397) gives:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14336) all_12_0 = e0
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14319), (14336) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14337) e2 = e0
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (14337) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14338) $false
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14338) is inconsistent.
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14339) all_12_2 = e0 | all_12_6 = e0 | all_12_12 = e0 |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_20 = e0
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14339) gives:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14340) all_12_2 = e0
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14327), (14340) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14341) e3 = e0
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14341) implies:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14342) e3 = e0
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (14342) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14343) $false
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14343) is inconsistent.
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14344) all_12_6 = e0 | all_12_12 = e0 | all_12_20 = e0
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14344) gives:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14345) all_12_6 = e0
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (14345) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14346) all_4_4 = e0
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14346) implies:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14347) all_4_4 = e0
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (14347) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14348) ~ (all_4_14 = e0)
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14348) implies:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14349) ~ (all_4_14 = e0)
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14268), (14347) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14350) ~ (e4 = e0)
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14335) gives:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14351) all_10_72 = e2
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (14267), (14351) are inconsistent by
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #118.
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14352) all_10_73 = e1 | all_10_74 = e0
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14352) gives:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14353) all_10_73 = e1
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (654), (14353) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14354) all_4_23 = e1
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14354) implies:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14355) all_4_23 = e1
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (739), (14355) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14356) ~ (all_4_13 = e1)
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (755), (14355) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14357) ~ (all_4_15 = e1)
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13211) gives:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14358) all_10_66 = e3
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (472), (14331), (14358) are inconsistent by
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #523.
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14359) all_10_67 = e2 | all_10_68 = e1 | all_10_69 = e0
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14359) gives:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14360) all_10_67 = e2
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (532), (14360) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14361) all_4_14 = e2
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14361) implies:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14362) all_4_14 = e2
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (735), (14362) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14363) ~ (all_4_8 = e2)
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (11), (12), (420), (435), (455), (523),
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (562), (711), (8424), (13191), (13208), (14267),
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14269), (14288), (14294), (14300), (14356),
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14360), (14363) are inconsistent by sub-proof
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #100.
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14364) all_10_68 = e1 | all_10_69 = e0
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (431), (13191), (14357), (14364) are
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #228.
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14365) all_10_74 = e0
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (562), (8424), (14365) are inconsistent by
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #276.
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14366) ~ (all_12_6 = e0)
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (665), (14366) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14367) ~ (all_4_4 = e0)
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (568), (14306), (14312), (14322), (14329), (14367)
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #554.
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14368) all_10_52 = e2 | all_10_53 = e1 | all_10_54 = e0
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14368) gives:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14369) all_10_52 = e2
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (463), (14322), (14369) are inconsistent by
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #611.
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14370) all_10_53 = e1 | all_10_54 = e0
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12), (14252), (14310), (14370) are
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #619.
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14371) ~ (all_12_0 = e2)
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (506), (14371) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14372) ~ (all_4_0 = e2)
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (66), (564), (9342), (14243), (14311),
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14318), (14372), (function-axioms) are
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #284.
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14373) ~ (all_12_20 = e1)
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14374) all_12_21 = e1 | all_12_22 = e1 | all_12_23 = e1 |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_24 = e1
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (657), (14373) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14375) ~ (all_4_16 = e1)
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (399) gives:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14376) all_12_0 = e1
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (14376) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14377) all_4_0 = e1
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (66), (14377) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14378) op(e1, e1) = e4
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_15, e4,
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e1, simplifying with (23), (14378) gives:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14379) all_4_15 = e4
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13195), (14379) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14380) $false
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14380) is inconsistent.
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14381) ~ (all_12_0 = e1)
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14382) all_12_2 = e1 | all_12_6 = e1 | all_12_12 = e1 |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_20 = e1
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (506), (14381) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14383) ~ (all_4_0 = e1)
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (400) gives:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14384) all_12_0 = e1
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (14384) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14385) all_4_0 = e1
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14383), (14385) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14386) $false
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14386) is inconsistent.
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14387) all_12_1 = e1 | all_12_4 = e1 | all_12_9 = e1 |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_16 = e1
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (403) gives:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14388) all_12_0 = e3
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (14388) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14389) all_4_0 = e3
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (66), (14389) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14390) op(e3, e3) = e4
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_3, e4,
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (35), (14390) gives:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14391) all_4_3 = e4
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14289), (14391) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14392) $false
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14392) is inconsistent.
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14393) all_12_2 = e3 | all_12_6 = e3 | all_12_12 = e3 |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_20 = e3
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (375) gives:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14394) all_12_9 = e3
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (14394) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14395) all_4_10 = e3
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14395) implies:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14396) all_4_10 = e3
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (528), (14396) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14397) all_10_65 = e3
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13193), (14396) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14398) ~ (e4 = e3)
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14260), (14396) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14399) op(e3, e4) = e1
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_1, e1,
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e3, simplifying with (36), (14399) gives:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14400) all_4_1 = e1
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (512), (14400) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14401) all_10_51 = e1
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (14400) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14402) all_12_2 = e1
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (675), (14400) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14403) ~ (all_4_4 = e1)
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14403) implies:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14404) ~ (all_4_4 = e1)
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (680), (14400) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14405) ~ (all_4_12 = e1)
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14405) implies:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14406) ~ (all_4_12 = e1)
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (677), (14400) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14407) ~ (all_4_16 = e1)
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13241), (14400) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14408) ~ (e4 = e1)
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (380) gives:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14409) all_12_6 = e3
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (14409) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14410) all_4_4 = e3
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14410) implies:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14411) all_4_4 = e3
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (463), (14411) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14412) all_10_52 = e3
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (668), (14411) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14413) ~ (all_4_0 = e3)
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14272) gives:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14414) all_10_51 = e3
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14401), (14414) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14415) e3 = e1
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (14415) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14416) $false
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14416) is inconsistent.
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14417) ~ (all_10_51 = e3)
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14418) all_10_52 = e2 | all_10_53 = e1 | all_10_54 = e0
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14401), (14417) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14419) ~ (e3 = e1)
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14418) gives:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14420) all_10_52 = e2
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (14412), (14420) are inconsistent by
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #374.
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14421) all_10_53 = e1 | all_10_54 = e0
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14421) gives:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14422) all_10_53 = e1
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (14252), (14422) are inconsistent by
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #620.
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14423) all_10_54 = e0
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14424) ~ (all_10_53 = e1)
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (424), (14423) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14425) all_4_16 = e0
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14425) implies:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14426) all_4_16 = e0
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (670), (14426) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14427) ~ (all_4_0 = e0)
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (694), (14426) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14428) ~ (all_4_20 = e0)
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14428) implies:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14429) ~ (all_4_20 = e0)
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14375), (14426) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14430) ~ (e1 = e0)
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (401) gives:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14431) all_12_0 = e2
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (14431) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14432) all_4_0 = e2
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (672), (14432) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14433) ~ (all_4_5 = e2)
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14433) implies:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14434) ~ (all_4_5 = e2)
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14237), (14432) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14435) ~ (e4 = e2)
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14303) gives:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14436) all_10_55 = e3
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (14275), (14436) are inconsistent by
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #396.
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14437) all_10_60 = e2 | all_10_65 = e1 | all_10_70 = e0
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14437) gives:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14438) all_10_60 = e2
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (516), (14438) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14439) all_4_5 = e2
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14434), (14439) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14440) $false
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14440) is inconsistent.
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14441) all_10_65 = e1 | all_10_70 = e0
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14441) gives:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14442) all_10_65 = e1
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14397), (14442) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14443) e3 = e1
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (14443) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14444) $false
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14444) is inconsistent.
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14445) all_10_70 = e0
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14446) ~ (all_10_65 = e1)
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (14445) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14447) all_4_17 = e0
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14447) implies:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14448) all_4_17 = e0
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (14448) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14449) all_12_16 = e0
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (757), (14448) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14450) ~ (all_4_19 = e0)
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14450) implies:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14451) ~ (all_4_19 = e0)
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (760), (14448) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14452) ~ (all_4_24 = e0)
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14387) gives:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14453) all_12_1 = e1
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14273), (14453) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14454) e4 = e1
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (14454) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14455) $false
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14455) is inconsistent.
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14456) all_12_4 = e1 | all_12_9 = e1 | all_12_16 = e1
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14456) gives:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14457) all_12_4 = e1
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (14457) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14458) all_4_5 = e1
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14458) implies:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14459) all_4_5 = e1
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (724), (14459) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14460) ~ (all_4_13 = e1)
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14460) implies:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14461) ~ (all_4_13 = e1)
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14297) gives:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14462) all_10_56 = e3
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (514), (14462) imply:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14463) all_4_3 = e3
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14463) implies:
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14464) all_4_3 = e3
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (415), (420), (435), (455), (562), (706),
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (734), (8424), (13191), (13208), (14288), (14289),
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14300), (14429), (14461), (14464) are
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #111.
% 180.68/27.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14465) all_10_61 = e2 | all_10_66 = e1 | all_10_71 = e0
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (472), (547), (14288), (14406), (14451),
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14465) are inconsistent by sub-proof #463.
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14466) all_12_9 = e1 | all_12_16 = e1
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14466) gives:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14467) all_12_9 = e1
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (14394), (14467) are inconsistent by
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #211.
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14468) all_12_16 = e1
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14449), (14468) imply:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14469) e1 = e0
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14469) implies:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14470) e1 = e0
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (14470) imply:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14471) $false
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14471) is inconsistent.
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14472) ~ (all_12_0 = e2)
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (506), (14472) imply:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14473) ~ (all_4_0 = e2)
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (564), (14243), (14383), (14413), (14427), (14473)
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #607.
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14474) ~ (all_12_6 = e3)
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (665), (14474) imply:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14475) ~ (all_4_4 = e3)
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14393) gives:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14476) all_12_2 = e3
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14402), (14476) imply:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14477) e3 = e1
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (14477) imply:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14478) $false
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14478) is inconsistent.
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14479) all_12_6 = e3 | all_12_12 = e3 | all_12_20 = e3
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14479) gives:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14480) all_12_6 = e3
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (665), (14475), (14480) are inconsistent by
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #538.
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14481) all_12_12 = e3 | all_12_20 = e3
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14481) gives:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14482) all_12_12 = e3
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (14249), (14482) are inconsistent by
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #294.
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14483) all_12_20 = e3
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (14483) imply:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14484) all_4_16 = e3
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14484) implies:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14485) all_4_16 = e3
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (424), (14485) imply:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14486) all_10_54 = e3
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (670), (14485) imply:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14487) ~ (all_4_0 = e3)
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (693), (14485) imply:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14488) ~ (all_4_18 = e3)
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14488) implies:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14489) ~ (all_4_18 = e3)
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (696), (14485) imply:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14490) ~ (all_4_24 = e3)
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14490) implies:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14491) ~ (all_4_24 = e3)
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13208) gives:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14492) all_10_59 = e3
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (420), (14492) imply:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14493) all_4_18 = e3
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14489), (14493) imply:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14494) $false
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14494) is inconsistent.
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14495) all_10_64 = e2 | all_10_69 = e1 | all_10_74 = e0
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14495) gives:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14496) all_10_64 = e2
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (415), (14496) imply:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14497) all_4_20 = e2
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14497) implies:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14498) all_4_20 = e2
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (725), (14498) imply:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14499) ~ (all_4_5 = e2)
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (741), (14498) imply:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14500) ~ (all_4_24 = e2)
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14500) implies:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14501) ~ (all_4_24 = e2)
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9341) gives:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14502) all_8_24 = e3
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (612), (14491), (14502) are inconsistent by
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #267.
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14503) ~ (all_8_24 = e3)
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14504) all_8_24 = e2 | all_8_24 = e1 | all_8_24 = e0
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14504) gives:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14505) all_8_24 = e2
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (612), (14501), (14505) are inconsistent by
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #274.
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14506) all_8_24 = e1 | all_8_24 = e0
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14506) gives:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14507) all_8_24 = e1
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (612), (14507) imply:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14508) all_4_24 = e1
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14508) implies:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14509) all_4_24 = e1
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (562), (14509) imply:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14510) all_10_74 = e1
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (766), (14509) imply:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14511) ~ (all_4_23 = e1)
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14491), (14509) imply:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14512) ~ (e3 = e1)
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14272) gives:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14513) all_10_51 = e3
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14401), (14513) imply:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14514) e3 = e1
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (14514) imply:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14515) $false
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14515) is inconsistent.
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14516) all_10_52 = e2 | all_10_53 = e1 | all_10_54 = e0
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12), (14), (431), (463), (472), (488),
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (516), (528), (532), (547), (564), (654), (668),
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (673), (674), (686), (744), (750), (13184),
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13191), (13211), (14237), (14243), (14252),
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14267), (14268), (14275), (14303), (14383),
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14486), (14487), (14499), (14510), (14511),
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14516) are inconsistent by sub-proof #82.
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14517) all_8_24 = e0
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (612), (8424), (14517) are inconsistent by
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #252.
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14518) all_10_69 = e1 | all_10_74 = e0
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (562), (8424), (13191), (14518) are
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #275.
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14519) ~ (all_12_9 = e3)
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14520) all_12_10 = e3 | all_12_11 = e3 | all_12_15 = e3 |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_23 = e3
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (494), (14519) imply:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14521) ~ (all_4_10 = e3)
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (361) gives:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14522) all_12_20 = e3
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (14522) imply:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14523) all_4_16 = e3
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14523) implies:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14524) all_4_16 = e3
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (424), (14524) imply:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14525) all_10_54 = e3
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (670), (14524) imply:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14526) ~ (all_4_0 = e3)
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (677), (14524) imply:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14527) ~ (all_4_1 = e3)
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (693), (14524) imply:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14528) ~ (all_4_18 = e3)
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14528) implies:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14529) ~ (all_4_18 = e3)
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13196), (14524) imply:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14530) ~ (e4 = e3)
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13208) gives:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14531) all_10_59 = e3
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (420), (14531) imply:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14532) all_4_18 = e3
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14529), (14532) imply:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14533) $false
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14533) is inconsistent.
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14534) ~ (all_10_59 = e3)
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14535) all_10_64 = e2 | all_10_69 = e1 | all_10_74 = e0
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14535) gives:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14536) all_10_64 = e2
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (415), (14536) imply:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14537) all_4_20 = e2
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14537) implies:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14538) all_4_20 = e2
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (655), (14538) imply:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14539) all_12_22 = e2
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (725), (14538) imply:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14540) ~ (all_4_5 = e2)
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8422) gives:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14541) all_12_20 = e0
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (14522), (14541) are inconsistent by
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #81.
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14542) all_12_21 = e0 | all_12_22 = e0 | all_12_23 = e0
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14542) gives:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14543) all_12_21 = e0
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (656), (14543) imply:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14544) all_4_18 = e0
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14544) implies:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14545) all_4_18 = e0
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14529), (14545) imply:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14546) ~ (e3 = e0)
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14374) gives:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14547) all_12_21 = e1
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14543), (14547) imply:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14548) e1 = e0
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (14548) imply:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14549) $false
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14549) is inconsistent.
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14550) all_12_22 = e1 | all_12_23 = e1 | all_12_24 = e1
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14550) gives:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14551) all_12_22 = e1
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (14539), (14551) are inconsistent by
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #278.
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14552) all_12_23 = e1 | all_12_24 = e1
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14552) gives:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14553) all_12_23 = e1
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (13192), (14553) are inconsistent by
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #104.
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14554) all_12_24 = e1
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (410), (14554) imply:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14555) all_4_24 = e1
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14555) implies:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14556) all_4_24 = e1
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (562), (14556) imply:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14557) all_10_74 = e1
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (766), (14556) imply:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14558) ~ (all_4_23 = e1)
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9342), (14556) imply:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14559) ~ (e4 = e1)
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14272) gives:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14560) all_10_51 = e3
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (512), (14527), (14560) are inconsistent by
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #623.
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14561) all_10_52 = e2 | all_10_53 = e1 | all_10_54 = e0
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12), (14), (431), (463), (472), (488),
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (516), (528), (532), (547), (564), (654), (668),
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (673), (674), (686), (744), (750), (13184),
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13191), (13211), (14237), (14243), (14252),
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14267), (14268), (14275), (14303), (14383),
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14525), (14526), (14540), (14557), (14558),
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14561) are inconsistent by sub-proof #82.
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14562) all_12_22 = e0 | all_12_23 = e0
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14562) gives:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14563) all_12_22 = e0
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14539), (14563) are inconsistent by
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #80.
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14564) all_12_23 = e0
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (13192), (14564) are inconsistent by
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #255.
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14565) all_10_69 = e1 | all_10_74 = e0
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (562), (8424), (13191), (14565) are
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #275.
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14566) ~ (all_12_20 = e3)
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (657), (14566) imply:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14567) ~ (all_4_16 = e3)
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (378) gives:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14568) all_12_6 = e1
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (14568) imply:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14569) all_4_4 = e1
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14569) implies:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14570) all_4_4 = e1
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (14570) imply:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14571) ~ (all_4_14 = e1)
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14571) implies:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14572) ~ (all_4_14 = e1)
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14393) gives:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14573) all_12_2 = e3
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (14573) imply:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14574) all_4_1 = e3
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14574) implies:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14575) all_4_1 = e3
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (680), (14575) imply:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14576) ~ (all_4_12 = e3)
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14576) implies:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14577) ~ (all_4_12 = e3)
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (681), (14575) imply:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14578) ~ (all_4_19 = e3)
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14578) implies:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14579) ~ (all_4_19 = e3)
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13184) gives:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14580) all_10_71 = e3
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (547), (14579), (14580) are inconsistent by
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #96.
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14581) all_10_72 = e2 | all_10_73 = e1 | all_10_74 = e0
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14581) gives:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14582) all_10_72 = e2
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (14267), (14582) are inconsistent by
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #118.
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14583) all_10_73 = e1 | all_10_74 = e0
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14583) gives:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14584) all_10_73 = e1
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (654), (14584) imply:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14585) all_4_23 = e1
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14585) implies:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14586) all_4_23 = e1
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (739), (14586) imply:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14587) ~ (all_4_13 = e1)
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (755), (14586) imply:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14588) ~ (all_4_15 = e1)
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13211) gives:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14589) all_10_66 = e3
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (472), (14577), (14589) are inconsistent by
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #523.
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14590) ~ (all_10_66 = e3)
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14591) all_10_67 = e2 | all_10_68 = e1 | all_10_69 = e0
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14591) gives:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14592) all_10_67 = e2
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (532), (14592) imply:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14593) all_4_14 = e2
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14593) implies:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14594) all_4_14 = e2
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (454), (14594) imply:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14595) all_12_11 = e2
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (713), (14594) imply:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14596) ~ (all_4_6 = e2)
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (735), (14594) imply:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14597) ~ (all_4_8 = e2)
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14520) gives:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14598) all_12_10 = e3
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (663), (14577), (14598) are inconsistent by
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #235.
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14599) all_12_11 = e3 | all_12_15 = e3 | all_12_23 = e3
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14294) gives:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14600) all_10_57 = e3
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (523), (14600) imply:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14601) all_4_6 = e3
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (462), (14601) imply:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14602) all_12_7 = e3
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14269), (14601) imply:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14603) ~ (e4 = e3)
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (377) gives:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14604) all_12_6 = e0
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (14568), (14604) are inconsistent by
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #79.
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14605) all_12_7 = e0 | all_12_8 = e0 | all_12_11 = e0 |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_18 = e0
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14605) gives:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14606) all_12_7 = e0
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14602), (14606) imply:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14607) e3 = e0
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (14607) imply:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14608) $false
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14608) is inconsistent.
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14609) all_12_8 = e0 | all_12_11 = e0 | all_12_18 = e0
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14609) gives:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14610) all_12_8 = e0
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (664), (14610) imply:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14611) all_4_8 = e0
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (455), (14611) imply:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14612) all_10_62 = e0
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (733), (14611) imply:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14613) ~ (all_4_13 = e0)
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14613) implies:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14614) ~ (all_4_13 = e0)
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (734), (14611) imply:
% 180.68/27.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14615) ~ (all_4_20 = e0)
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14615) implies:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14616) ~ (all_4_20 = e0)
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14599) gives:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14617) all_12_11 = e3
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14595), (14617) imply:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14618) e3 = e2
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (14618) imply:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14619) $false
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14619) is inconsistent.
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14620) all_12_15 = e3 | all_12_23 = e3
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14620) gives:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14621) all_12_15 = e3
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (660), (14621) imply:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14622) all_4_15 = e3
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (738), (14622) imply:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14623) ~ (all_4_13 = e3)
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14248) gives:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14624) all_8_17 = e3
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (590), (14623), (14624) are inconsistent by
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #541.
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14625) all_8_17 = e2 | all_8_17 = e1 | all_8_17 = e0
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14625) gives:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14626) all_8_17 = e2
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (590), (14626) imply:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14627) all_4_13 = e2
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14627) implies:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14628) all_4_13 = e2
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (435), (14628) imply:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14629) all_10_63 = e2
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14300) gives:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14630) all_10_61 = e3
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14288), (14630) imply:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14631) e4 = e3
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (14631) imply:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14632) $false
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14632) is inconsistent.
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14633) all_10_62 = e2 | all_10_63 = e1 | all_10_64 = e0
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14633) gives:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14634) all_10_62 = e2
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14612), (14634) imply:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14635) e2 = e0
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14635) implies:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14636) e2 = e0
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (14636) imply:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14637) $false
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14637) is inconsistent.
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14638) all_10_63 = e1 | all_10_64 = e0
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (415), (14616), (14629), (14638) are
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #364.
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14639) all_8_17 = e1 | all_8_17 = e0
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (590), (14587), (14614), (14639) are inconsistent
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #548.
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14640) all_12_23 = e3
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (13192), (14640) are inconsistent by
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #231.
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14641) all_12_11 = e0 | all_12_18 = e0
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14641) gives:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14642) all_12_11 = e0
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14595), (14642) are inconsistent by
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #78.
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14643) all_12_18 = e0
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (14265), (14643) are inconsistent by
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #77.
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14644) all_10_62 = e2 | all_10_67 = e1 | all_10_72 = e0
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11), (455), (14267), (14592), (14597),
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14644) are inconsistent by sub-proof #101.
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14645) all_10_68 = e1 | all_10_69 = e0
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (431), (13191), (14588), (14645) are
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #228.
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14646) all_10_74 = e0
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (562), (8424), (14646) are inconsistent by
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #276.
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14647) all_12_6 = e3 | all_12_12 = e3 | all_12_20 = e3
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14647) gives:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14648) all_12_6 = e3
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14568), (14648) imply:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14649) e3 = e1
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (14649) imply:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14650) $false
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14650) is inconsistent.
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14651) all_12_12 = e3 | all_12_20 = e3
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14651) gives:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14652) all_12_12 = e3
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (14249), (14652) are inconsistent by
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #294.
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14653) all_12_20 = e3
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (657), (14567), (14653) are inconsistent by
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #649.
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14654) ~ (all_12_6 = e1)
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (665), (14654) imply:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14655) ~ (all_4_4 = e1)
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14382) gives:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14656) all_12_2 = e1
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (14656) imply:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14657) all_4_1 = e1
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14657) implies:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14658) all_4_1 = e1
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14281), (14658) imply:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14659) op(e4, e1) = e3
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (14521), (14659), (function-axioms) are
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #520.
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14660) all_12_6 = e1 | all_12_12 = e1 | all_12_20 = e1
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14660) gives:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14661) all_12_6 = e1
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (665), (14655), (14661) are inconsistent by
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #769.
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14662) all_12_12 = e1 | all_12_20 = e1
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14662) gives:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14663) all_12_12 = e1
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14249), (14663) imply:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14664) e4 = e1
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14664) implies:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14665) e4 = e1
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (14665) imply:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14666) $false
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14666) is inconsistent.
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14667) all_12_20 = e1
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (657), (14375), (14667) are inconsistent by
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #250.
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | (14668) ~ (all_12_5 = e4)
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (14668) imply:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | (14669) ~ (all_4_7 = e4)
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (470), (478), (482), (494), (498), (659), (663),
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | (666), (697), (12555), (13181), (13193), (13194),
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | (13240), (14241), (14277), (14669) are
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #314.
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | (14670) all_12_3 = e4 | all_12_7 = e4 | all_12_13 = e4 |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | all_12_21 = e4
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14670) gives:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | (14671) all_12_3 = e4
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (482), (14671) imply:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | (14672) all_4_3 = e4
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (707), (14672) imply:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | (14673) ~ (all_4_7 = e4)
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14673) implies:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | (14674) ~ (all_4_7 = e4)
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (708), (14672) imply:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | (14675) ~ (all_4_12 = e4)
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (709), (14672) imply:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | (14676) ~ (all_4_19 = e4)
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (63), (14672) imply:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | (14677) op(e4, e4) = e3
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (386) gives:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | (14678) all_12_4 = e4
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (14678) imply:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | (14679) all_4_5 = e4
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14679) implies:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | (14680) all_4_5 = e4
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (516), (14680) imply:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | (14681) all_10_60 = e4
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (726), (14680) imply:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | (14682) ~ (all_4_10 = e4)
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (61), (14680) imply:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | (14683) op(e4, all_4_4) = e2
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (777), (14680) imply:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | (14684) op(e4, e2) = all_10_2
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (794), (14680) imply:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | (14685) op(e4, e4) = all_10_27
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (14680) imply:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | (14686) op(e4, e2) = e4
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_10_2,
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | e2, e4, simplifying with (14684), (14686) gives:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | (14687) all_10_2 = e4
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_0,
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | all_10_27, e4, e4, simplifying with (41), (14685)
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | (14688) all_10_27 = all_4_0
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | all_10_27, e4, e4, simplifying with (14677),
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | (14685) gives:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | (14689) all_10_27 = e3
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14688), (14689) imply:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | (14690) all_4_0 = e3
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (508), (14690) imply:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | (14691) all_10_50 = e3
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (667), (14690) imply:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | (14692) ~ (all_4_1 = e3)
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14692) implies:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | (14693) ~ (all_4_1 = e3)
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (671), (14690) imply:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | (14694) ~ (all_4_2 = e3)
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14694) implies:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | (14695) ~ (all_4_2 = e3)
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (668), (14690) imply:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | (14696) ~ (all_4_4 = e3)
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14696) implies:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | (14697) ~ (all_4_4 = e3)
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14237), (14690) imply:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | (14698) ~ (e4 = e3)
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (14699) all_8_10 = e4
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (568), (14268), (14699) are inconsistent by
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #781.
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (14700) ~ (all_8_10 = e4)
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (14701) all_8_10 = e3 | all_8_10 = e2 | all_8_10 = e1 |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_10 = e0
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (328) gives:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14702) all_10_50 = e4
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14691), (14702) imply:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14703) e4 = e3
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (14703) imply:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14704) $false
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14704) is inconsistent.
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14705) all_10_55 = e3 | all_10_60 = e2 | all_10_65 = e1 |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_70 = e0
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (379) gives:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14706) all_12_6 = e2
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (14706) imply:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14707) all_4_4 = e2
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14268), (14683), (14686), (14707),
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #417.
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14708) ~ (all_12_6 = e2)
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (665), (14708) imply:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14709) ~ (all_4_4 = e2)
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14272) gives:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14710) all_10_51 = e3
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (512), (14693), (14710) are inconsistent by
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #623.
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14711) all_10_52 = e2 | all_10_53 = e1 | all_10_54 = e0
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14711) gives:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14712) all_10_52 = e2
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (463), (14709), (14712) are inconsistent by
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #611.
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14713) ~ (all_10_52 = e2)
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14714) all_10_53 = e1 | all_10_54 = e0
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14714) gives:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14715) all_10_53 = e1
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (14252), (14715) are inconsistent by
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #620.
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14716) all_10_54 = e0
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (424), (14716) imply:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14717) all_4_16 = e0
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14717) implies:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14718) all_4_16 = e0
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (683), (14718) imply:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14719) ~ (all_4_4 = e0)
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (50), (14718) imply:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14720) op(e0, all_4_17) = e4
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (812), (14718) imply:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14721) op(e0, e0) = all_10_45
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14701) gives:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14722) all_8_10 = e3
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (568), (14697), (14722) are inconsistent by
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #661.
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14723) all_8_10 = e2 | all_8_10 = e1 | all_8_10 = e0
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14723) gives:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14724) all_8_10 = e2
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (568), (14709), (14724) are inconsistent by
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #660.
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14725) ~ (all_8_10 = e2)
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14726) all_8_10 = e1 | all_8_10 = e0
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14726) gives:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14727) all_8_10 = e1
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (568), (14727) imply:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14728) all_4_4 = e1
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14728) implies:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14729) all_4_4 = e1
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14709), (14729) imply:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14730) ~ (e2 = e1)
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14683), (14729) imply:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14731) op(e4, e1) = e2
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_24,
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_45, e0, e0, simplifying with (17), (14721)
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14732) all_10_45 = all_4_24
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_10, e2,
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e4, simplifying with (38), (14731) gives:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14733) all_4_10 = e2
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (528), (14733) imply:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14734) all_10_65 = e2
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13193), (14733) imply:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14735) ~ (e4 = e2)
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14705) gives:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14736) all_10_55 = e3
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (500), (14736) imply:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14737) all_4_2 = e3
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14695), (14737) imply:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14738) $false
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14738) is inconsistent.
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14739) all_10_60 = e2 | all_10_65 = e1 | all_10_70 = e0
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14739) gives:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14740) all_10_60 = e2
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (14681), (14740) are inconsistent by
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #388.
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14741) all_10_65 = e1 | all_10_70 = e0
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14741) gives:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14742) all_10_65 = e1
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (14734), (14742) are inconsistent by
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #308.
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14743) all_10_70 = e0
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (488), (9342), (14720), (14743),
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #185.
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14744) all_8_10 = e0
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (568), (14719), (14744) are inconsistent by
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #718.
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | (14745) ~ (all_12_4 = e4)
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (498), (14745) imply:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | (14746) ~ (all_4_5 = e4)
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (470), (478), (482), (494), (498), (659), (663),
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | (666), (697), (12555), (13181), (13193), (13194),
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | (13240), (14241), (14674), (14746) are
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #314.
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | (14747) all_12_7 = e4 | all_12_13 = e4 | all_12_21 = e4
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (462), (656), (662), (13197), (14254), (14269),
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | | (14747) are inconsistent by sub-proof #405.
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | (14748) all_12_19 = e4 | all_12_24 = e4
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14748) gives:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | (14749) all_12_19 = e4
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (430), (14258), (14749) are inconsistent by
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | sub-proof #593.
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | (14750) all_12_24 = e4
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (410), (9342), (14750) are inconsistent by
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | | sub-proof #184.
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.26 | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | (14751) ~ (all_12_12 = e4)
% 180.68/27.26 | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | REDUCE: (446), (14751) imply:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | (14752) ~ (all_4_9 = e4)
% 180.68/27.26 | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | BETA: splitting (14236) gives:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | (14753) all_12_2 = e4
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | |
% 180.68/27.26 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (13241), (14753) are inconsistent by
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | sub-proof #695.
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | (14754) all_12_6 = e4 | all_12_12 = e4 | all_12_20 = e4
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | BETA: splitting (14754) gives:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | (14755) all_12_6 = e4
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (14755) imply:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | (14756) all_4_4 = e4
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | SIMP: (14756) implies:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | (14757) all_4_4 = e4
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | REDUCE: (687), (14757) imply:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | (14758) ~ (all_4_21 = e4)
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | SIMP: (14758) implies:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | (14759) ~ (all_4_21 = e4)
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | REDUCE: (769), (14757) imply:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | (14760) op(e4, e4) = all_10_10
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13180) gives:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | (14761) all_12_17 = e4
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (470), (14761) imply:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | (14762) all_4_19 = e4
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12555), (14762) imply:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | (14763) $false
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14763) is inconsistent.
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | (14764) all_12_18 = e4 | all_12_19 = e4 | all_12_24 = e4
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14764) gives:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | (14765) all_12_18 = e4
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (658), (14765) imply:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | (14766) all_4_21 = e4
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14759), (14766) imply:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | (14767) $false
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14767) is inconsistent.
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | (14768) all_12_19 = e4 | all_12_24 = e4
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14768) gives:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | (14769) all_12_19 = e4
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (430), (14769) imply:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | (14770) all_4_23 = e4
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14770) implies:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | (14771) all_4_23 = e4
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13201), (14771) imply:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | (14772) op(e4, e4) = e0
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13199), (14771) imply:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | (14773) op(e4, e4) = e1
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (41), (14760), (14772), (14773),
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | #304.
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | (14774) all_12_24 = e4
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (410), (9342), (14774) are inconsistent by
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #184.
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | (14775) all_12_12 = e4 | all_12_20 = e4
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (657), (13196), (14752), (14775) are
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #571.
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.27 | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.27 | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | End of split
% 180.68/27.27 | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | End of split
% 180.68/27.27 | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | End of split
% 180.68/27.27 | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | End of split
% 180.68/27.27 | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | End of split
% 180.68/27.27 | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | End of split
% 180.68/27.27 | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | End of split
% 180.68/27.27 | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | End of split
% 180.68/27.27 | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | End of split
% 180.68/27.27 | | | | | | | | |
% 180.68/27.27 | | | | | | | | End of split
% 180.68/27.27 | | | | | | | |
% 180.68/27.27 | | | | | | | Case 2:
% 180.68/27.27 | | | | | | | |
% 180.68/27.27 | | | | | | | | (14776) ~ (all_8_23 = e4)
% 180.68/27.27 | | | | | | | | (14777) all_8_23 = e3 | all_8_23 = e2 | all_8_23 = e1 |
% 180.68/27.27 | | | | | | | | all_8_23 = e0
% 180.68/27.27 | | | | | | | |
% 180.68/27.27 | | | | | | | | REDUCE: (602), (14776) imply:
% 180.68/27.27 | | | | | | | | (14778) ~ (all_4_22 = e4)
% 180.68/27.27 | | | | | | | |
% 180.68/27.27 | | | | | | | | BETA: splitting (362) gives:
% 180.68/27.27 | | | | | | | |
% 180.68/27.27 | | | | | | | | Case 1:
% 180.68/27.27 | | | | | | | | |
% 180.68/27.27 | | | | | | | | | (14779) all_12_20 = e4
% 180.68/27.27 | | | | | | | | |
% 180.68/27.27 | | | | | | | | | COMBINE_EQS: (657), (14779) imply:
% 180.68/27.27 | | | | | | | | | (14780) all_4_16 = e4
% 180.68/27.27 | | | | | | | | |
% 180.68/27.27 | | | | | | | | | SIMP: (14780) implies:
% 180.68/27.27 | | | | | | | | | (14781) all_4_16 = e4
% 180.68/27.27 | | | | | | | | |
% 180.68/27.27 | | | | | | | | | COMBINE_EQS: (424), (14781) imply:
% 180.68/27.27 | | | | | | | | | (14782) all_10_54 = e4
% 180.68/27.27 | | | | | | | | |
% 180.68/27.27 | | | | | | | | | REDUCE: (670), (14781) imply:
% 180.68/27.27 | | | | | | | | | (14783) ~ (all_4_0 = e4)
% 180.68/27.27 | | | | | | | | |
% 180.68/27.27 | | | | | | | | | REDUCE: (677), (14781) imply:
% 180.68/27.27 | | | | | | | | | (14784) ~ (all_4_1 = e4)
% 180.68/27.27 | | | | | | | | |
% 180.68/27.27 | | | | | | | | | REDUCE: (683), (14781) imply:
% 180.68/27.27 | | | | | | | | | (14785) ~ (all_4_4 = e4)
% 180.68/27.27 | | | | | | | | |
% 180.68/27.27 | | | | | | | | | REDUCE: (688), (14781) imply:
% 180.68/27.27 | | | | | | | | | (14786) ~ (all_4_9 = e4)
% 180.68/27.27 | | | | | | | | |
% 180.68/27.27 | | | | | | | | | REDUCE: (693), (14781) imply:
% 180.68/27.27 | | | | | | | | | (14787) ~ (all_4_18 = e4)
% 180.68/27.27 | | | | | | | | |
% 180.68/27.27 | | | | | | | | | SIMP: (14787) implies:
% 180.68/27.27 | | | | | | | | | (14788) ~ (all_4_18 = e4)
% 180.68/27.27 | | | | | | | | |
% 180.68/27.27 | | | | | | | | | REDUCE: (694), (14781) imply:
% 180.68/27.27 | | | | | | | | | (14789) ~ (all_4_20 = e4)
% 180.68/27.27 | | | | | | | | |
% 180.68/27.27 | | | | | | | | | SIMP: (14789) implies:
% 180.68/27.27 | | | | | | | | | (14790) ~ (all_4_20 = e4)
% 180.68/27.27 | | | | | | | | |
% 180.68/27.27 | | | | | | | | | REDUCE: (696), (14781) imply:
% 180.68/27.27 | | | | | | | | | (14791) ~ (all_4_24 = e4)
% 180.68/27.27 | | | | | | | | |
% 180.68/27.27 | | | | | | | | | REDUCE: (50), (14781) imply:
% 180.68/27.27 | | | | | | | | | (14792) op(e4, all_4_17) = e4
% 180.68/27.27 | | | | | | | | |
% 180.68/27.27 | | | | | | | | | REDUCE: (771), (14781) imply:
% 180.68/27.27 | | | | | | | | | (14793) op(e4, e4) = all_10_20
% 180.68/27.27 | | | | | | | | |
% 180.68/27.27 | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_0,
% 180.68/27.27 | | | | | | | | | all_10_20, e4, e4, simplifying with (41), (14793)
% 180.68/27.27 | | | | | | | | | gives:
% 180.68/27.27 | | | | | | | | | (14794) all_10_20 = all_4_0
% 180.68/27.27 | | | | | | | | |
% 180.68/27.27 | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_29,
% 180.68/27.27 | | | | | | | | | e4, all_4_17, e4, simplifying with (796), (14792)
% 180.68/27.27 | | | | | | | | | gives:
% 180.68/27.27 | | | | | | | | | (14795) all_10_29 = e4
% 180.68/27.27 | | | | | | | | |
% 180.68/27.27 | | | | | | | | | BETA: splitting (329) gives:
% 180.68/27.27 | | | | | | | | |
% 180.68/27.27 | | | | | | | | | Case 1:
% 180.68/27.27 | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | (14796) all_10_50 = e4
% 180.68/27.27 | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | REF_CLOSE: (508), (14783), (14796) are inconsistent by
% 180.68/27.27 | | | | | | | | | | sub-proof #631.
% 180.68/27.27 | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | Case 2:
% 180.68/27.27 | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | (14797) ~ (all_10_50 = e4)
% 180.68/27.27 | | | | | | | | | | (14798) all_10_51 = e3 | all_10_52 = e2 | all_10_53 = e1 |
% 180.68/27.27 | | | | | | | | | | all_10_54 = e0
% 180.68/27.27 | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | BETA: splitting (233) gives:
% 180.68/27.27 | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | Case 1:
% 180.68/27.27 | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | (14799) all_8_10 = e4
% 180.68/27.27 | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | REF_CLOSE: (568), (14785), (14799) are inconsistent by
% 180.68/27.27 | | | | | | | | | | | sub-proof #781.
% 180.68/27.27 | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | Case 2:
% 180.68/27.27 | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | (14800) ~ (all_8_10 = e4)
% 180.68/27.27 | | | | | | | | | | | (14801) all_8_10 = e3 | all_8_10 = e2 | all_8_10 = e1 |
% 180.68/27.27 | | | | | | | | | | | all_8_10 = e0
% 180.68/27.27 | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | BETA: splitting (238) gives:
% 180.68/27.27 | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | Case 1:
% 180.68/27.27 | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | (14802) all_8_5 = e4
% 180.68/27.27 | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | REF_CLOSE: (566), (14784), (14802) are inconsistent by
% 180.68/27.27 | | | | | | | | | | | | sub-proof #784.
% 180.68/27.27 | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | Case 2:
% 180.68/27.27 | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | (14803) ~ (all_8_5 = e4)
% 180.68/27.27 | | | | | | | | | | | | (14804) all_8_5 = e3 | all_8_5 = e2 | all_8_5 = e1 |
% 180.68/27.27 | | | | | | | | | | | | all_8_5 = e0
% 180.68/27.27 | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | BETA: splitting (228) gives:
% 180.68/27.27 | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | Case 1:
% 180.68/27.27 | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | (14805) all_8_15 = e4
% 180.68/27.27 | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | REF_CLOSE: (570), (14786), (14805) are inconsistent by
% 180.68/27.27 | | | | | | | | | | | | | sub-proof #782.
% 180.68/27.27 | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | Case 2:
% 180.68/27.27 | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | (14806) ~ (all_8_15 = e4)
% 180.68/27.27 | | | | | | | | | | | | | (14807) all_8_15 = e3 | all_8_15 = e2 | all_8_15 = e1 |
% 180.68/27.27 | | | | | | | | | | | | | all_8_15 = e0
% 180.68/27.27 | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | BETA: splitting (243) gives:
% 180.68/27.27 | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | Case 1:
% 180.68/27.27 | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | (14808) all_8_0 = e4
% 180.68/27.27 | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | REF_CLOSE: (564), (14783), (14808) are inconsistent by
% 180.68/27.27 | | | | | | | | | | | | | | sub-proof #706.
% 180.68/27.27 | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | Case 2:
% 180.68/27.27 | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | (14809) ~ (all_8_0 = e4)
% 180.68/27.27 | | | | | | | | | | | | | | (14810) all_8_0 = e3 | all_8_0 = e2 | all_8_0 = e1 |
% 180.68/27.27 | | | | | | | | | | | | | | all_8_0 = e0
% 180.68/27.27 | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | BETA: splitting (391) gives:
% 180.68/27.27 | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | Case 1:
% 180.68/27.27 | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | (14811) all_12_2 = e4
% 180.68/27.27 | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | REF_CLOSE: (486), (14784), (14811) are inconsistent by
% 180.68/27.27 | | | | | | | | | | | | | | | sub-proof #695.
% 180.68/27.27 | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | Case 2:
% 180.68/27.27 | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | (14812) all_12_3 = e4 | all_12_5 = e4 | all_12_10 = e4 |
% 180.68/27.27 | | | | | | | | | | | | | | | all_12_17 = e4
% 180.68/27.27 | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | BETA: splitting (406) gives:
% 180.68/27.27 | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | Case 1:
% 180.68/27.27 | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | (14813) all_12_0 = e4
% 180.68/27.27 | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (14813) imply:
% 180.68/27.27 | | | | | | | | | | | | | | | | (14814) all_4_0 = e4
% 180.68/27.27 | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | REDUCE: (14783), (14814) imply:
% 180.68/27.27 | | | | | | | | | | | | | | | | (14815) $false
% 180.68/27.27 | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | CLOSE: (14815) is inconsistent.
% 180.68/27.27 | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | Case 2:
% 180.68/27.27 | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | (14816) all_12_1 = e4 | all_12_4 = e4 | all_12_9 = e4 |
% 180.68/27.27 | | | | | | | | | | | | | | | | all_12_16 = e4
% 180.68/27.27 | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 180.68/27.27 | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.27 | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | (14817) all_8_7 = e4
% 180.68/27.27 | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | COMBINE_EQS: (586), (14817) imply:
% 180.68/27.27 | | | | | | | | | | | | | | | | | (14818) all_4_7 = e4
% 180.68/27.27 | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | SIMP: (14818) implies:
% 180.68/27.27 | | | | | | | | | | | | | | | | | (14819) all_4_7 = e4
% 180.68/27.27 | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | COMBINE_EQS: (518), (14819) imply:
% 180.68/27.27 | | | | | | | | | | | | | | | | | (14820) all_10_61 = e4
% 180.68/27.27 | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | REDUCE: (707), (14819) imply:
% 180.68/27.27 | | | | | | | | | | | | | | | | | (14821) ~ (all_4_3 = e4)
% 180.68/27.27 | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | REDUCE: (722), (14819) imply:
% 180.68/27.27 | | | | | | | | | | | | | | | | | (14822) ~ (all_4_5 = e4)
% 180.68/27.27 | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | REDUCE: (728), (14819) imply:
% 180.68/27.27 | | | | | | | | | | | | | | | | | (14823) ~ (all_4_8 = e4)
% 180.68/27.27 | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | SIMP: (14823) implies:
% 180.68/27.27 | | | | | | | | | | | | | | | | | (14824) ~ (all_4_8 = e4)
% 180.68/27.27 | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | REDUCE: (732), (14819) imply:
% 180.68/27.27 | | | | | | | | | | | | | | | | | (14825) ~ (all_4_19 = e4)
% 180.68/27.27 | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | REDUCE: (34), (14819) imply:
% 180.68/27.27 | | | | | | | | | | | | | | | | | (14826) op(e3, e2) = e4
% 180.68/27.27 | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | BETA: splitting (322) gives:
% 180.68/27.27 | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.27 | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | (14827) all_10_60 = e4
% 180.68/27.27 | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | REF_CLOSE: (516), (14822), (14827) are inconsistent by
% 180.68/27.27 | | | | | | | | | | | | | | | | | | sub-proof #685.
% 180.68/27.27 | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.27 | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | (14828) ~ (all_10_60 = e4)
% 180.68/27.27 | | | | | | | | | | | | | | | | | | (14829) all_10_61 = e3 | all_10_62 = e2 | all_10_63 = e1 |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | all_10_64 = e0
% 180.68/27.27 | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 180.68/27.27 | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | (14830) all_8_2 = e4
% 180.68/27.27 | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (14822), (14830) are inconsistent by
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | sub-proof #777.
% 180.68/27.27 | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | (14831) ~ (all_8_2 = e4)
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | (14832) all_8_2 = e3 | all_8_2 = e2 | all_8_2 = e1 |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | all_8_2 = e0
% 180.68/27.27 | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | BETA: splitting (376) gives:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | (14833) all_12_9 = e4
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (14833) imply:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | (14834) all_4_10 = e4
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | SIMP: (14834) implies:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | (14835) all_4_10 = e4
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (14835) imply:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | (14836) ~ (all_4_15 = e4)
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | SIMP: (14836) implies:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | (14837) ~ (all_4_15 = e4)
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (23), (29), (35), (66), (400), (401), (404),
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | (506), (564), (9342), (14810), (14821), (14824),
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | (14837), (function-axioms) are inconsistent by
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | sub-proof #283.
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | (14838) ~ (all_12_9 = e4)
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | REDUCE: (494), (14838) imply:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | (14839) ~ (all_4_10 = e4)
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | BETA: splitting (14816) gives:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | (14840) all_12_1 = e4
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (14840) imply:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | (14841) all_4_2 = e4
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (500), (14841) imply:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | (14842) all_10_55 = e4
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | REDUCE: (697), (14841) imply:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | (14843) ~ (all_4_3 = e4)
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | REDUCE: (702), (14841) imply:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | (14844) ~ (all_4_10 = e4)
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | REDUCE: (793), (14841) imply:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | (14845) op(e4, e4) = all_10_26
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_0,
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | all_10_26, e4, e4, simplifying with (41), (14845)
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | gives:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | (14846) all_10_26 = all_4_0
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (328) gives:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | (14847) all_10_50 = e4
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (508), (14783), (14847) are inconsistent by
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | sub-proof #631.
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | (14848) all_10_55 = e3 | all_10_60 = e2 | all_10_65 = e1 |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | all_10_70 = e0
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | (14849) all_8_3 = e4
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (594), (14839), (14849) are inconsistent by
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #789.
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | (14850) all_8_3 = e3 | all_8_3 = e2 | all_8_3 = e1 |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | all_8_3 = e0
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (325) gives:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | (14851) all_10_53 = e4
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (534), (14786), (14851) are inconsistent by
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #779.
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | (14852) all_10_58 = e3 | all_10_63 = e2 | all_10_68 = e1 |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | all_10_73 = e0
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | (14853) all_8_18 = e4
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (600), (14853) imply:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | (14854) all_4_15 = e4
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (14854) imply:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | (14855) all_10_68 = e4
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (660), (14854) imply:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | (14856) all_12_15 = e4
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (717), (14854) imply:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | (14857) ~ (all_4_11 = e4)
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (755), (14854) imply:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | (14858) ~ (all_4_23 = e4)
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14858) implies:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | (14859) ~ (all_4_23 = e4)
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (14854) imply:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | (14860) op(e4, e4) = e1
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13180) gives:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (14861) all_12_17 = e4
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (470), (14861) imply:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (14862) all_4_19 = e4
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12555), (14862) imply:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (14863) $false
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14863) is inconsistent.
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (14864) all_12_18 = e4 | all_12_19 = e4 | all_12_24 = e4
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14864) gives:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14865) all_12_18 = e4
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (658), (14865) imply:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14866) all_4_21 = e4
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14866) implies:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14867) all_4_21 = e4
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (448), (14867) imply:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14868) all_10_72 = e4
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (789), (14867) imply:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14869) op(e4, e0) = all_10_14
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_17,
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_14, e0, e4, simplifying with (37), (14869)
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14870) all_10_14 = all_4_17
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_0, e1,
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e4, simplifying with (41), (14860) gives:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14871) all_4_0 = e1
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (14871) imply:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14872) all_12_0 = e1
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (672), (14871) imply:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14873) ~ (all_4_5 = e1)
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14873) implies:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14874) ~ (all_4_5 = e1)
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (669), (14871) imply:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14875) ~ (all_4_9 = e1)
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14875) implies:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14876) ~ (all_4_9 = e1)
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (673), (14871) imply:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14877) ~ (all_4_10 = e1)
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14877) implies:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14878) ~ (all_4_10 = e1)
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (321) gives:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14879) all_10_65 = e4
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (528), (14839), (14879) are inconsistent by
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #790.
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14880) all_10_66 = e3 | all_10_67 = e2 | all_10_68 = e1 |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_69 = e0
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (401) gives:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14881) all_12_0 = e2
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (14872), (14881) are inconsistent by
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #197.
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14882) all_12_2 = e2 | all_12_6 = e2 | all_12_12 = e2 |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_20 = e2
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (379) gives:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14883) all_12_6 = e2
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (14883) imply:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14884) all_4_4 = e2
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14884) implies:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14885) all_4_4 = e2
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (14885) imply:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14886) op(e2, all_4_5) = e4
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (61), (14885) imply:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14887) op(all_4_5, e2) = e2
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (802), (14885) imply:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14888) op(e2, e2) = all_10_35
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_8,
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_35, e2, e2, simplifying with (29), (14888)
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14889) all_10_35 = all_4_8
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_2, e2,
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, all_4_5, simplifying with (777), (14887)
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14890) all_10_2 = e2
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (384) gives:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14891) all_12_4 = e2
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (14891) imply:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14892) all_4_5 = e2
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14886), (14892) imply:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14893) op(e2, e2) = e4
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (14824), (14893), (function-axioms) are
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #736.
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14894) ~ (all_12_4 = e2)
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (498), (14894) imply:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14895) ~ (all_4_5 = e2)
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14848) gives:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14896) all_10_55 = e3
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14842), (14896) imply:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14897) e4 = e3
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (14897) imply:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14898) $false
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14898) is inconsistent.
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14899) all_10_60 = e2 | all_10_65 = e1 | all_10_70 = e0
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14899) gives:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14900) all_10_60 = e2
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (516), (14900) imply:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14901) all_4_5 = e2
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14895), (14901) imply:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14902) $false
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14902) is inconsistent.
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14903) ~ (all_10_60 = e2)
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14904) all_10_65 = e1 | all_10_70 = e0
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14904) gives:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14905) all_10_65 = e1
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (528), (14878), (14905) are inconsistent by
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #595.
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14906) all_10_70 = e0
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (14906) imply:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14907) all_4_17 = e0
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14907) implies:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14908) all_4_17 = e0
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (727), (14908) imply:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14909) ~ (all_4_5 = e0)
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14792), (14908) imply:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14910) op(e4, e0) = e4
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (37), (14908) imply:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14911) op(e4, e0) = e0
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14832) gives:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14912) all_8_2 = e3
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (583), (14912) imply:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14913) all_4_5 = e3
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14913) implies:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14914) all_4_5 = e3
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14887), (14914) imply:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14915) op(e3, e2) = e2
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, e2, e2,
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (14826), (14915) gives:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14916) e4 = e2
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e4, e0,
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, simplifying with (14910), (14911) gives:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14917) e4 = e0
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14916), (14917) imply:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14918) e2 = e0
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14918) implies:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14919) e2 = e0
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (14919) imply:
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14920) $false
% 180.68/27.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14920) is inconsistent.
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14921) all_8_2 = e2 | all_8_2 = e1 | all_8_2 = e0
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (14874), (14895), (14909), (14921) are
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #749.
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14922) ~ (all_12_6 = e2)
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (665), (14922) imply:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14923) ~ (all_4_4 = e2)
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14798) gives:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14924) all_10_51 = e3
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (512), (14924) imply:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14925) all_4_1 = e3
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14925) implies:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14926) all_4_1 = e3
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (14926) imply:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14927) all_12_2 = e3
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (680), (14926) imply:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14928) ~ (all_4_12 = e3)
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14928) implies:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14929) ~ (all_4_12 = e3)
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (681), (14926) imply:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14930) ~ (all_4_19 = e3)
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14930) implies:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14931) ~ (all_4_19 = e3)
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14882) gives:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14932) all_12_2 = e2
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14927), (14932) imply:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14933) e3 = e2
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (14933) imply:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14934) $false
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14934) is inconsistent.
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14935) all_12_6 = e2 | all_12_12 = e2 | all_12_20 = e2
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13184) gives:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14936) all_10_71 = e3
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (547), (14931), (14936) are inconsistent by
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #96.
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14937) all_10_72 = e2 | all_10_73 = e1 | all_10_74 = e0
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14935) gives:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14938) all_12_6 = e2
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (665), (14923), (14938) are inconsistent by
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #536.
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14939) all_12_12 = e2 | all_12_20 = e2
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14939) gives:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14940) all_12_12 = e2
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (14940) imply:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14941) all_4_9 = e2
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14941) implies:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14942) all_4_9 = e2
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (690), (14942) imply:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14943) ~ (all_4_13 = e2)
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14943) implies:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14944) ~ (all_4_13 = e2)
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14786), (14942) imply:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14945) ~ (e4 = e2)
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (14942) imply:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14946) op(e2, all_4_10) = e4
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14937) gives:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14947) all_10_72 = e2
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (14868), (14947) are inconsistent by
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #118.
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14948) ~ (all_10_72 = e2)
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14949) all_10_73 = e1 | all_10_74 = e0
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14949) gives:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14950) all_10_73 = e1
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (654), (14950) imply:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14951) all_4_23 = e1
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14951) implies:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14952) all_4_23 = e1
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (430), (14952) imply:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14953) all_12_19 = e1
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14859), (14952) imply:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14954) ~ (e4 = e1)
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14852) gives:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14955) all_10_58 = e3
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (14955) imply:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14956) all_4_11 = e3
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (662), (14956) imply:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14957) all_12_13 = e3
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14857), (14956) imply:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14958) ~ (e4 = e3)
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (367) gives:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14959) all_12_12 = e0
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14940), (14959) are inconsistent by
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #765.
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14960) all_12_13 = e0 | all_12_14 = e0 | all_12_15 = e0 |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_19 = e0
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14960) gives:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14961) all_12_13 = e0
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (14957), (14961) are inconsistent by
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #224.
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14962) all_12_14 = e0 | all_12_15 = e0 | all_12_19 = e0
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14962) gives:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14963) all_12_14 = e0
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (661), (14963) imply:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14964) all_4_13 = e0
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14964) implies:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14965) all_4_13 = e0
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (724), (14965) imply:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14966) ~ (all_4_5 = e0)
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (737), (14965) imply:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14967) ~ (all_4_20 = e0)
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14967) implies:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14968) ~ (all_4_20 = e0)
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14829) gives:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14969) all_10_61 = e3
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14820), (14969) imply:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14970) e4 = e3
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (14970) imply:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14971) $false
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14971) is inconsistent.
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14972) all_10_62 = e2 | all_10_63 = e1 | all_10_64 = e0
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14972) gives:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14973) all_10_62 = e2
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (455), (14973) imply:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14974) all_4_8 = e2
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (723), (14974) imply:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14975) ~ (all_4_5 = e2)
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (735), (14974) imply:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14976) ~ (all_4_14 = e2)
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14976) implies:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14977) ~ (all_4_14 = e2)
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14832) gives:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14978) all_8_2 = e3
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (583), (14978) imply:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14979) all_4_5 = e3
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14979) implies:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14980) all_4_5 = e3
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (726), (14980) imply:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14981) ~ (all_4_10 = e3)
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14981) implies:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14982) ~ (all_4_10 = e3)
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14880) gives:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14983) all_10_66 = e3
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (472), (14929), (14983) are inconsistent by
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #523.
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14984) all_10_67 = e2 | all_10_68 = e1 | all_10_69 = e0
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14984) gives:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14985) all_10_67 = e2
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (532), (14977), (14985) are inconsistent by
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #453.
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14986) all_10_68 = e1 | all_10_69 = e0
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14986) gives:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14987) all_10_68 = e1
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (14855), (14987) are inconsistent by
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #363.
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14988) all_10_69 = e0
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (560), (14988) imply:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14989) all_4_22 = e0
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14989) implies:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14990) all_4_22 = e0
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (745), (14990) imply:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14991) ~ (all_4_10 = e0)
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (374), (494), (594), (14824), (14850),
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14878), (14946), (14982), (14991),
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #733.
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14992) all_8_2 = e2 | all_8_2 = e1 | all_8_2 = e0
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (14874), (14966), (14975), (14992) are
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #749.
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14993) all_10_63 = e1 | all_10_64 = e0
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (415), (435), (562), (654), (739), (8424),
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14868), (14937), (14968), (14993) are
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #95.
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14994) all_12_15 = e0 | all_12_19 = e0
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14994) gives:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14995) all_12_15 = e0
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14856), (14995) imply:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14996) e4 = e0
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14996) implies:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14997) e4 = e0
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (14997) imply:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14998) $false
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14998) is inconsistent.
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14999) all_12_19 = e0
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14953), (14999) imply:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15000) e1 = e0
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (562), (8424), (14949), (14950), (15000) are
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #218.
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15001) all_10_63 = e2 | all_10_68 = e1 | all_10_73 = e0
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15001) gives:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15002) all_10_63 = e2
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (435), (14944), (15002) are inconsistent by
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #560.
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15003) all_10_68 = e1 | all_10_73 = e0
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15003) gives:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15004) all_10_68 = e1
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (14855), (15004) are inconsistent by
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #363.
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15005) all_10_73 = e0
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (562), (8424), (14949), (15005) are
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #265.
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15006) all_10_74 = e0
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (562), (8424), (15006) are inconsistent by
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #276.
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15007) all_12_20 = e2
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (14779), (15007) are inconsistent by
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #354.
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15008) all_10_52 = e2 | all_10_53 = e1 | all_10_54 = e0
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (463), (534), (14782), (14876), (14923),
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15008) are inconsistent by sub-proof #76.
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15009) all_12_19 = e4 | all_12_24 = e4
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (410), (430), (9342), (14859), (15009) are
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #84.
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | (15010) ~ (all_8_18 = e4)
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (600), (15010) imply:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | (15011) ~ (all_4_15 = e4)
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (23), (29), (35), (66), (400), (401), (404),
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | (506), (564), (9342), (14810), (14821), (14824),
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | (15011), (function-axioms) are inconsistent by
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #283.
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | (15012) all_12_4 = e4 | all_12_9 = e4 | all_12_16 = e4
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (494), (498), (659), (13181), (14822), (14839),
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | (15012) are inconsistent by sub-proof #328.
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.28 | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.28 | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | End of split
% 180.68/27.28 | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.28 | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | (15013) ~ (all_8_7 = e4)
% 180.68/27.28 | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | REDUCE: (586), (15013) imply:
% 180.68/27.28 | | | | | | | | | | | | | | | | | (15014) ~ (all_4_7 = e4)
% 180.68/27.28 | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | BETA: splitting (386) gives:
% 180.68/27.28 | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.28 | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | (15015) all_12_4 = e4
% 180.68/27.28 | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (15015) imply:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | (15016) all_4_5 = e4
% 180.68/27.28 | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | SIMP: (15016) implies:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | (15017) all_4_5 = e4
% 180.68/27.28 | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (516), (15017) imply:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | (15018) all_10_60 = e4
% 180.68/27.28 | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | REDUCE: (701), (15017) imply:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | (15019) ~ (all_4_2 = e4)
% 180.68/27.28 | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | REDUCE: (722), (15017) imply:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | (15020) ~ (all_4_7 = e4)
% 180.68/27.28 | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | REDUCE: (723), (15017) imply:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | (15021) ~ (all_4_8 = e4)
% 180.68/27.28 | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | SIMP: (15021) implies:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | (15022) ~ (all_4_8 = e4)
% 180.68/27.28 | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | REDUCE: (726), (15017) imply:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | (15023) ~ (all_4_10 = e4)
% 180.68/27.28 | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | SIMP: (15023) implies:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | (15024) ~ (all_4_10 = e4)
% 180.68/27.28 | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | REDUCE: (724), (15017) imply:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | (15025) ~ (all_4_13 = e4)
% 180.68/27.28 | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | SIMP: (15025) implies:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | (15026) ~ (all_4_13 = e4)
% 180.68/27.28 | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | REDUCE: (61), (15017) imply:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | (15027) op(e4, all_4_4) = e2
% 180.68/27.28 | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | REDUCE: (777), (15017) imply:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | (15028) op(e4, e2) = all_10_2
% 180.68/27.28 | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | REDUCE: (794), (15017) imply:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | (15029) op(e4, e4) = all_10_27
% 180.68/27.28 | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | REDUCE: (39), (15017) imply:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | (15030) op(e4, e2) = e4
% 180.68/27.28 | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_10_2,
% 180.68/27.28 | | | | | | | | | | | | | | | | | | e2, e4, simplifying with (15028), (15030) gives:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | (15031) all_10_2 = e4
% 180.68/27.28 | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_0,
% 180.68/27.28 | | | | | | | | | | | | | | | | | | all_10_27, e4, e4, simplifying with (41), (15029)
% 180.68/27.28 | | | | | | | | | | | | | | | | | | gives:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | (15032) all_10_27 = all_4_0
% 180.68/27.28 | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | BETA: splitting (328) gives:
% 180.68/27.28 | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | (15033) all_10_50 = e4
% 180.68/27.28 | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (508), (14783), (15033) are inconsistent by
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | sub-proof #631.
% 180.68/27.28 | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | (15034) all_10_55 = e3 | all_10_60 = e2 | all_10_65 = e1 |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | all_10_70 = e0
% 180.68/27.28 | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | BETA: splitting (381) gives:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | (15035) all_12_6 = e4
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (665), (14785), (15035) are inconsistent by
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | sub-proof #780.
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | (15036) all_12_7 = e4 | all_12_8 = e4 | all_12_11 = e4 |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | all_12_18 = e4
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | BETA: splitting (376) gives:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | (15037) all_12_9 = e4
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (494), (15024), (15037) are inconsistent by
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | sub-proof #506.
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | (15038) all_12_10 = e4 | all_12_11 = e4 | all_12_15 = e4 |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | all_12_23 = e4
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (371) gives:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | (15039) all_12_12 = e4
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (14786), (15039) are inconsistent by
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | sub-proof #613.
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | (15040) all_12_13 = e4 | all_12_14 = e4 | all_12_15 = e4 |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | all_12_19 = e4
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (396) gives:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | (15041) all_12_1 = e4
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (15041) imply:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | (15042) all_4_2 = e4
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15019), (15042) imply:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | (15043) $false
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15043) is inconsistent.
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | (15044) all_12_3 = e4 | all_12_7 = e4 | all_12_13 = e4 |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | all_12_21 = e4
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | (15045) all_8_16 = e4
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (23), (29), (35), (66), (400), (401), (404),
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | (506), (564), (580), (705), (717), (9342),
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | (14810), (15022), (15045), (function-axioms) are
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #136.
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | (15046) ~ (all_8_16 = e4)
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (580), (15046) imply:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | (15047) ~ (all_4_11 = e4)
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | (15048) all_8_19 = e4
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (551), (15048) imply:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | (15049) all_4_23 = e4
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (764), (15049) imply:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | (15050) ~ (all_4_21 = e4)
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (790), (15049) imply:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | (15051) op(e4, e0) = all_10_19
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_17,
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | all_10_19, e0, e4, simplifying with (37), (15051)
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | (15052) all_10_19 = all_4_17
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (15053) all_8_8 = e4
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (595), (15053) imply:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (15054) all_4_12 = e4
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15054) implies:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (15055) all_4_12 = e4
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (708), (15055) imply:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (15056) ~ (all_4_3 = e4)
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (15055) imply:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (15057) ~ (all_4_15 = e4)
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15057) implies:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (15058) ~ (all_4_15 = e4)
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (23), (29), (35), (66), (400), (401), (404),
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (506), (564), (9342), (14810), (15022), (15056),
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (15058), (function-axioms) are inconsistent by
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #283.
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (15059) ~ (all_8_8 = e4)
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (595), (15059) imply:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (15060) ~ (all_4_12 = e4)
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15038) gives:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15061) all_12_10 = e4
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (663), (15060), (15061) are inconsistent by
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #628.
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15062) ~ (all_12_10 = e4)
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15063) all_12_11 = e4 | all_12_15 = e4 | all_12_23 = e4
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14812) gives:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15064) all_12_3 = e4
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (482), (15064) imply:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15065) all_4_3 = e4
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (704), (15065) imply:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15066) ~ (all_4_6 = e4)
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15066) implies:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15067) ~ (all_4_6 = e4)
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (63), (15065) imply:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15068) op(e4, e4) = e3
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15036) gives:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15069) all_12_7 = e4
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (462), (15069) imply:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15070) all_4_6 = e4
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15067), (15070) imply:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15071) $false
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15071) is inconsistent.
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15072) all_12_8 = e4 | all_12_11 = e4 | all_12_18 = e4
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15072) gives:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15073) all_12_8 = e4
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (664), (15073) imply:
% 180.68/27.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15074) all_4_8 = e4
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15022), (15074) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15075) $false
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15075) is inconsistent.
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15076) all_12_11 = e4 | all_12_18 = e4
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15063) gives:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15077) all_12_11 = e4
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (454), (15077) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15078) all_4_14 = e4
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15078) implies:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15079) all_4_14 = e4
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (751), (15079) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15080) ~ (all_4_15 = e4)
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15080) implies:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15081) ~ (all_4_15 = e4)
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_0, e3,
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e4, simplifying with (41), (15068) gives:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15082) all_4_0 = e3
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (15082) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15083) all_12_0 = e3
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (667), (15082) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15084) ~ (all_4_1 = e3)
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15084) implies:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15085) ~ (all_4_1 = e3)
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (671), (15082) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15086) ~ (all_4_2 = e3)
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15086) implies:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15087) ~ (all_4_2 = e3)
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (668), (15082) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15088) ~ (all_4_4 = e3)
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15088) implies:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15089) ~ (all_4_4 = e3)
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (397) gives:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15090) all_12_0 = e0
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15083), (15090) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15091) e3 = e0
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (15091) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15092) $false
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15092) is inconsistent.
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15093) all_12_2 = e0 | all_12_6 = e0 | all_12_12 = e0 |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_20 = e0
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (389) gives:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15094) all_12_2 = e2
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (15094) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15095) all_4_1 = e2
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (512), (15095) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15096) all_10_51 = e2
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (675), (15095) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15097) ~ (all_4_4 = e2)
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15097) implies:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15098) ~ (all_4_4 = e2)
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15085), (15095) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15099) ~ (e3 = e2)
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14798) gives:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15100) all_10_51 = e3
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15096), (15100) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15101) e3 = e2
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (15101) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15102) $false
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15102) is inconsistent.
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15103) all_10_52 = e2 | all_10_53 = e1 | all_10_54 = e0
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15103) gives:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15104) all_10_52 = e2
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (463), (15098), (15104) are inconsistent by
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #611.
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15105) ~ (all_10_52 = e2)
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15106) all_10_53 = e1 | all_10_54 = e0
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15106) gives:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15107) all_10_53 = e1
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (534), (15107) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15108) all_4_9 = e1
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15108) implies:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15109) all_4_9 = e1
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (682), (15109) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15110) ~ (all_4_4 = e1)
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (15109) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15111) op(e1, all_4_10) = e4
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (807), (15109) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15112) op(e1, e1) = all_10_40
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15093) gives:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15113) all_12_2 = e0
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15094), (15113) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15114) e2 = e0
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (15114) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15115) $false
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15115) is inconsistent.
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15116) all_12_6 = e0 | all_12_12 = e0 | all_12_20 = e0
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15116) gives:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15117) all_12_6 = e0
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (15117) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15118) all_4_4 = e0
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15118) implies:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15119) all_4_4 = e0
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15098), (15119) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15120) ~ (e2 = e0)
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15027), (15119) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15121) op(e4, e0) = e2
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_15,
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_40, e1, e1, simplifying with (23), (15112)
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15122) all_10_40 = all_4_15
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_17, e2,
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e4, simplifying with (37), (15121) gives:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15123) all_4_17 = e2
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (15123) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15124) all_10_70 = e2
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13181), (15123) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15125) ~ (e4 = e2)
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15034) gives:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15126) all_10_55 = e3
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (500), (15126) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15127) all_4_2 = e3
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15087), (15127) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15128) $false
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15128) is inconsistent.
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15129) all_10_60 = e2 | all_10_65 = e1 | all_10_70 = e0
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15129) gives:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15130) all_10_60 = e2
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (15018), (15130) are inconsistent by
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #388.
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15131) all_10_65 = e1 | all_10_70 = e0
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15131) gives:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15132) all_10_65 = e1
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (528), (15081), (15111), (15132),
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #288.
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15133) all_10_70 = e0
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (15124), (15133) are inconsistent by
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #387.
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15134) ~ (all_12_6 = e0)
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (665), (15134) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15135) ~ (all_4_4 = e0)
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (568), (14801), (15089), (15098), (15110), (15135)
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #554.
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15136) all_10_54 = e0
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (14782), (15136) are inconsistent by
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #410.
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15137) ~ (all_12_2 = e2)
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (486), (15137) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15138) ~ (all_4_1 = e2)
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (379) gives:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15139) all_12_6 = e2
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (15139) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15140) all_4_4 = e2
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14785), (15027), (15030), (15140),
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #417.
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15141) ~ (all_12_6 = e2)
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (665), (15141) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15142) ~ (all_4_4 = e2)
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14798) gives:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15143) all_10_51 = e3
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (512), (15085), (15143) are inconsistent by
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #623.
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15144) ~ (all_10_51 = e3)
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15145) all_10_52 = e2 | all_10_53 = e1 | all_10_54 = e0
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (463), (534), (566), (568), (675), (676),
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (682), (14782), (14801), (14804), (15085),
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15089), (15138), (15142), (15145) are
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #409.
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15146) ~ (all_12_11 = e4)
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (454), (15146) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15147) ~ (all_4_14 = e4)
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15076) gives:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15148) all_12_11 = e4
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (454), (15147), (15148) are inconsistent by
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #774.
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15149) all_12_18 = e4
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (658), (15050), (15149) are inconsistent by
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #773.
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15150) all_12_5 = e4 | all_12_10 = e4 | all_12_17 = e4
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (470), (478), (663), (12555), (15014), (15060),
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15150) are inconsistent by sub-proof #565.
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | (15151) ~ (all_8_19 = e4)
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (551), (15151) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | (15152) ~ (all_4_23 = e4)
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13180) gives:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (15153) all_12_17 = e4
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (470), (15153) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (15154) all_4_19 = e4
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12555), (15154) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (15155) $false
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15155) is inconsistent.
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (15156) all_12_18 = e4 | all_12_19 = e4 | all_12_24 = e4
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15044) gives:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15157) all_12_3 = e4
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (482), (15157) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15158) all_4_3 = e4
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (705), (15158) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15159) ~ (all_4_11 = e4)
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (63), (15158) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15160) op(e4, e4) = e3
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (41), (51), (430), (660), (661), (662),
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15026), (15040), (15047), (15152), (15160),
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | #577.
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15161) all_12_7 = e4 | all_12_13 = e4 | all_12_21 = e4
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (410), (430), (462), (656), (658), (662), (714),
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9342), (14788), (15047), (15152), (15156),
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15161) are inconsistent by sub-proof #83.
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.29 | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.29 | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.29 | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | (15162) ~ (all_12_4 = e4)
% 180.68/27.29 | | | | | | | | | | | | | | | | | | (15163) all_12_5 = e4 | all_12_8 = e4 | all_12_14 = e4 |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | all_12_22 = e4
% 180.68/27.29 | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | REDUCE: (498), (15162) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | (15164) ~ (all_4_5 = e4)
% 180.68/27.29 | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 180.68/27.29 | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | (15165) all_8_2 = e4
% 180.68/27.29 | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (15164), (15165) are inconsistent by
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | sub-proof #777.
% 180.68/27.29 | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | (15166) ~ (all_8_2 = e4)
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | (15167) all_8_2 = e3 | all_8_2 = e2 | all_8_2 = e1 |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | all_8_2 = e0
% 180.68/27.29 | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | BETA: splitting (376) gives:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | (15168) all_12_9 = e4
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (15168) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | (15169) all_4_10 = e4
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | SIMP: (15169) implies:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | (15170) all_4_10 = e4
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (528), (15170) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | (15171) all_10_65 = e4
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | REDUCE: (742), (15170) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | (15172) ~ (all_4_12 = e4)
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | SIMP: (15172) implies:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | (15173) ~ (all_4_12 = e4)
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | REDUCE: (56), (15170) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | (15174) op(e4, all_4_9) = e1
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | REDUCE: (782), (15170) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | (15175) op(e4, e1) = all_10_3
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | REDUCE: (795), (15170) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | (15176) op(e4, e4) = all_10_28
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | REDUCE: (38), (15170) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | (15177) op(e4, e1) = e4
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | BETA: splitting (14812) gives:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | (15178) all_12_3 = e4
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (482), (15178) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | (15179) all_4_3 = e4
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | REDUCE: (707), (15179) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | (15180) ~ (all_4_7 = e4)
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | REDUCE: (709), (15179) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | (15181) ~ (all_4_19 = e4)
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | REDUCE: (63), (15179) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | (15182) op(e4, e4) = e3
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_10_3,
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | e1, e4, simplifying with (15175), (15177) gives:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | (15183) all_10_3 = e4
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_0,
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | all_10_28, e4, e4, simplifying with (41), (15176)
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | gives:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | (15184) all_10_28 = all_4_0
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | all_10_28, e4, e4, simplifying with (15176),
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | (15182) gives:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | (15185) all_10_28 = e3
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15184), (15185) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | (15186) all_4_0 = e3
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (508), (15186) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | (15187) all_10_50 = e3
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (15186) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | (15188) all_12_0 = e3
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | REDUCE: (667), (15186) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | (15189) ~ (all_4_1 = e3)
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | SIMP: (15189) implies:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | (15190) ~ (all_4_1 = e3)
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | REDUCE: (671), (15186) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | (15191) ~ (all_4_2 = e3)
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | SIMP: (15191) implies:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | (15192) ~ (all_4_2 = e3)
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | REDUCE: (672), (15186) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | (15193) ~ (all_4_5 = e3)
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | SIMP: (15193) implies:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | (15194) ~ (all_4_5 = e3)
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | REDUCE: (669), (15186) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | (15195) ~ (all_4_9 = e3)
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | SIMP: (15195) implies:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | (15196) ~ (all_4_9 = e3)
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | REDUCE: (14783), (15186) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | (15197) ~ (e4 = e3)
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (328) gives:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | (15198) all_10_50 = e4
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15187), (15198) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | (15199) e4 = e3
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (15199) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | (15200) $false
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15200) is inconsistent.
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | (15201) all_10_55 = e3 | all_10_60 = e2 | all_10_65 = e1 |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | all_10_70 = e0
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (402) gives:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | (15202) all_12_0 = e2
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15188), (15202) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | (15203) e3 = e2
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (15203) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | (15204) $false
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15204) is inconsistent.
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | (15205) ~ (all_12_0 = e2)
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | (15206) all_12_1 = e2 | all_12_4 = e2 | all_12_9 = e2 |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | all_12_16 = e2
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | (15207) all_8_12 = e4
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (588), (15207) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | (15208) all_4_8 = e4
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15208) implies:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | (15209) all_4_8 = e4
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (58), (15182), (15209), (function-axioms)
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #630.
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | (15210) ~ (all_8_12 = e4)
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (588), (15210) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | (15211) ~ (all_4_8 = e4)
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15163) gives:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | (15212) all_12_5 = e4
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (15014), (15212) are inconsistent by
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #566.
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | (15213) all_12_8 = e4 | all_12_14 = e4 | all_12_22 = e4
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15213) gives:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (15214) all_12_8 = e4
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (664), (15211), (15214) are inconsistent by
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #681.
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (15215) all_12_14 = e4 | all_12_22 = e4
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15215) gives:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15216) all_12_14 = e4
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (661), (15216) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15217) all_4_13 = e4
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15217) implies:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15218) all_4_13 = e4
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (435), (15218) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15219) all_10_63 = e4
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (739), (15218) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15220) ~ (all_4_23 = e4)
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15220) implies:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15221) ~ (all_4_23 = e4)
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13180) gives:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15222) all_12_17 = e4
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (470), (12555), (15222) are inconsistent by
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #429.
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15223) all_12_18 = e4 | all_12_19 = e4 | all_12_24 = e4
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15223) gives:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15224) all_12_18 = e4
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (658), (15224) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15225) all_4_21 = e4
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15225) implies:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15226) all_4_21 = e4
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (448), (15226) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15227) all_10_72 = e4
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (789), (15226) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15228) op(e4, e0) = all_10_14
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_17,
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_14, e0, e4, simplifying with (37), (15228)
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15229) all_10_14 = all_4_17
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (322) gives:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15230) all_10_60 = e4
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (516), (15164), (15230) are inconsistent by
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #685.
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15231) all_10_61 = e3 | all_10_62 = e2 | all_10_63 = e1 |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_64 = e0
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (398) gives:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15232) all_12_0 = e0
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15188), (15232) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15233) e3 = e0
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (15233) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15234) $false
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15234) is inconsistent.
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15235) all_12_1 = e0 | all_12_4 = e0 | all_12_9 = e0 |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_16 = e0
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (368) gives:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15236) all_12_12 = e1
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (15236) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15237) all_4_9 = e1
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14786), (15174), (15177), (15237),
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #373.
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15238) ~ (all_12_12 = e1)
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (446), (15238) imply:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15239) ~ (all_4_9 = e1)
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14798) gives:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15240) all_10_51 = e3
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (512), (15190), (15240) are inconsistent by
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #623.
% 180.68/27.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15241) all_10_52 = e2 | all_10_53 = e1 | all_10_54 = e0
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15241) gives:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15242) all_10_52 = e2
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (463), (15242) imply:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15243) all_4_4 = e2
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15243) implies:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15244) all_4_4 = e2
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (15244) imply:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15245) ~ (all_4_8 = e2)
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15245) implies:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15246) ~ (all_4_8 = e2)
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (682), (15244) imply:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15247) ~ (all_4_9 = e2)
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15247) implies:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15248) ~ (all_4_9 = e2)
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14785), (15244) imply:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15249) ~ (e4 = e2)
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (15244) imply:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15250) op(e2, all_4_5) = e4
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (802), (15244) imply:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15251) op(e2, e2) = all_10_35
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14807) gives:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15252) all_8_15 = e3
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (570), (15196), (15252) are inconsistent by
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #732.
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15253) all_8_15 = e2 | all_8_15 = e1 | all_8_15 = e0
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15253) gives:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15254) all_8_15 = e2
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (570), (15248), (15254) are inconsistent by
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #731.
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15255) ~ (all_8_15 = e2)
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15256) all_8_15 = e1 | all_8_15 = e0
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15256) gives:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15257) all_8_15 = e1
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (570), (15239), (15257) are inconsistent by
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #730.
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15258) all_8_15 = e0
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (570), (15258) imply:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15259) all_4_9 = e0
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15259) implies:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15260) all_4_9 = e0
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15248), (15260) imply:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15261) ~ (e2 = e0)
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15174), (15260) imply:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15262) op(e4, e0) = e1
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_8,
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_35, e2, e2, simplifying with (29), (15251)
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15263) all_10_35 = all_4_8
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_17, e1,
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e4, simplifying with (37), (15262) gives:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15264) all_4_17 = e1
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (15264) imply:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15265) all_12_16 = e1
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (727), (15264) imply:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15266) ~ (all_4_5 = e1)
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (759), (15264) imply:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15267) ~ (all_4_23 = e1)
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15267) implies:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15268) ~ (all_4_23 = e1)
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13181), (15264) imply:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15269) ~ (e4 = e1)
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13184) gives:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15270) all_10_71 = e3
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (547), (15270) imply:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15271) all_4_19 = e3
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15271) implies:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15272) all_4_19 = e3
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (732), (15272) imply:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15273) ~ (all_4_7 = e3)
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15201) gives:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15274) all_10_55 = e3
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (500), (15274) imply:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15275) all_4_2 = e3
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15192), (15275) imply:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15276) $false
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15276) is inconsistent.
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15277) all_10_60 = e2 | all_10_65 = e1 | all_10_70 = e0
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15277) gives:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15278) all_10_60 = e2
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (516), (15211), (15250), (15278),
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #296.
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15279) ~ (all_10_60 = e2)
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15280) all_10_65 = e1 | all_10_70 = e0
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (516), (15279) imply:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15281) ~ (all_4_5 = e2)
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15206) gives:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15282) all_12_1 = e2
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (15282) imply:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15283) all_4_2 = e2
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (701), (15283) imply:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15284) ~ (all_4_5 = e2)
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15167) gives:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15285) all_8_2 = e3
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (15194), (15285) are inconsistent by
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #753.
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15286) all_8_2 = e2 | all_8_2 = e1 | all_8_2 = e0
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15286) gives:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15287) all_8_2 = e2
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (15281), (15287) are inconsistent by
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #752.
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15288) all_8_2 = e1 | all_8_2 = e0
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15235) gives:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15289) all_12_1 = e0
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15282), (15289) imply:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15290) e2 = e0
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (15290) imply:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15291) $false
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15291) is inconsistent.
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15292) all_12_4 = e0 | all_12_9 = e0 | all_12_16 = e0
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15292) gives:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15293) all_12_4 = e0
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (15293) imply:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15294) all_4_5 = e0
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (725), (15294) imply:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15295) ~ (all_4_20 = e0)
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15295) implies:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15296) ~ (all_4_20 = e0)
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15231) gives:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15297) all_10_61 = e3
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (518), (15273), (15297) are inconsistent by
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #457.
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15298) all_10_62 = e2 | all_10_63 = e1 | all_10_64 = e0
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (415), (455), (15219), (15246), (15296),
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15298) are inconsistent by sub-proof #360.
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15299) ~ (all_12_4 = e0)
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (498), (15299) imply:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15300) ~ (all_4_5 = e0)
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (15266), (15288), (15300) are inconsistent
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #641.
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15301) all_12_4 = e2 | all_12_9 = e2 | all_12_16 = e2
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15301) gives:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15302) all_12_4 = e2
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (15302) imply:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15303) all_4_5 = e2
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15281), (15303) imply:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15304) $false
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15304) is inconsistent.
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15305) all_12_9 = e2 | all_12_16 = e2
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15305) gives:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15306) all_12_9 = e2
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15168), (15306) imply:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15307) e4 = e2
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15171), (15307) imply:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15308) all_10_65 = e2
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15280) gives:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15309) all_10_65 = e1
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (15308), (15309) are inconsistent by
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #308.
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15310) all_10_70 = e0
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (15310) imply:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15311) all_4_17 = e0
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15311) implies:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15312) all_4_17 = e0
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (37), (13181), (14792), (15312), (function-axioms)
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #408.
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15313) all_12_16 = e2
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (15265), (15313) are inconsistent by
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #497.
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15314) all_10_72 = e2 | all_10_73 = e1 | all_10_74 = e0
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (562), (654), (8424), (15227), (15268),
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15314) are inconsistent by sub-proof #117.
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15315) all_10_53 = e1 | all_10_54 = e0
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (534), (14782), (15239), (15315) are
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #384.
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15316) all_12_19 = e4 | all_12_24 = e4
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (410), (430), (9342), (15221), (15316) are
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #84.
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15317) all_12_22 = e4
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (655), (14790), (15317) are inconsistent by
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #640.
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | (15318) all_12_5 = e4 | all_12_10 = e4 | all_12_17 = e4
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (470), (478), (663), (12555), (15014), (15173),
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | (15318) are inconsistent by sub-proof #565.
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | (15319) ~ (all_12_9 = e4)
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | REDUCE: (494), (15319) imply:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | (15320) ~ (all_4_10 = e4)
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | BETA: splitting (14816) gives:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | (15321) all_12_1 = e4
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (15321) imply:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | (15322) all_4_2 = e4
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (500), (15322) imply:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | (15323) all_10_55 = e4
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | REDUCE: (697), (15322) imply:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | (15324) ~ (all_4_3 = e4)
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | SIMP: (15324) implies:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | (15325) ~ (all_4_3 = e4)
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | REDUCE: (793), (15322) imply:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | (15326) op(e4, e4) = all_10_26
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14812) gives:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | (15327) all_12_3 = e4
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (482), (15327) imply:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | (15328) all_4_3 = e4
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15325), (15328) imply:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | (15329) $false
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15329) is inconsistent.
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | (15330) all_12_5 = e4 | all_12_10 = e4 | all_12_17 = e4
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15330) gives:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | (15331) all_12_5 = e4
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (15014), (15331) are inconsistent by
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #566.
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | (15332) all_12_10 = e4 | all_12_17 = e4
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15332) gives:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | (15333) all_12_10 = e4
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (663), (15333) imply:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | (15334) all_4_12 = e4
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15334) implies:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | (15335) all_4_12 = e4
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (472), (15335) imply:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | (15336) all_10_66 = e4
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (747), (15335) imply:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | (15337) ~ (all_4_14 = e4)
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15337) implies:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | (15338) ~ (all_4_14 = e4)
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (15335) imply:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | (15339) ~ (all_4_15 = e4)
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15339) implies:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | (15340) ~ (all_4_15 = e4)
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (750), (15335) imply:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | (15341) ~ (all_4_19 = e4)
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_0,
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | all_10_26, e4, e4, simplifying with (41), (15326)
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | (15342) all_10_26 = all_4_0
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (328) gives:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | (15343) all_10_50 = e4
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (508), (14783), (15343) are inconsistent by
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #631.
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | (15344) all_10_55 = e3 | all_10_60 = e2 | all_10_65 = e1 |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | all_10_70 = e0
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (321) gives:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | (15345) all_10_65 = e4
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (528), (15320), (15345) are inconsistent by
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #790.
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | (15346) ~ (all_10_65 = e4)
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | (15347) all_10_66 = e3 | all_10_67 = e2 | all_10_68 = e1 |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_69 = e0
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15348) all_8_3 = e4
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (594), (15320), (15348) are inconsistent by
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #789.
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15349) ~ (all_8_3 = e4)
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15350) all_8_3 = e3 | all_8_3 = e2 | all_8_3 = e1 |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_3 = e0
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15351) all_8_13 = e4
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (598), (15338), (15351) are inconsistent by
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #785.
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15352) all_8_13 = e3 | all_8_13 = e2 | all_8_13 = e1 |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_13 = e0
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15353) all_8_12 = e4
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (588), (15353) imply:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15354) all_4_8 = e4
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15354) implies:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15355) all_4_8 = e4
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (455), (15355) imply:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15356) all_10_62 = e4
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (664), (15355) imply:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15357) all_12_8 = e4
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (712), (15355) imply:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15358) ~ (all_4_6 = e4)
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (736), (15355) imply:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15359) ~ (all_4_21 = e4)
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15359) implies:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15360) ~ (all_4_21 = e4)
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (58), (15355) imply:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15361) op(e4, e4) = e2
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13180) gives:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15362) all_12_17 = e4
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (470), (15362) imply:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15363) all_4_19 = e4
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12555), (15363) imply:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15364) $false
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15364) is inconsistent.
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15365) all_12_18 = e4 | all_12_19 = e4 | all_12_24 = e4
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15365) gives:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15366) all_12_18 = e4
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (658), (15360), (15366) are inconsistent by
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #773.
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15367) all_12_19 = e4 | all_12_24 = e4
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15367) gives:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15368) all_12_19 = e4
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (430), (15368) imply:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15369) all_4_23 = e4
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15369) implies:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15370) all_4_23 = e4
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (654), (15370) imply:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15371) all_10_73 = e4
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (790), (15370) imply:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15372) op(e4, e0) = all_10_19
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_17,
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_19, e0, e4, simplifying with (37), (15372)
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15373) all_10_19 = all_4_17
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_0, e2,
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e4, simplifying with (41), (15361) gives:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15374) all_4_0 = e2
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (15374) imply:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15375) all_12_0 = e2
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (667), (15374) imply:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15376) ~ (all_4_1 = e2)
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15376) implies:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15377) ~ (all_4_1 = e2)
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (668), (15374) imply:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15378) ~ (all_4_4 = e2)
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15378) implies:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15379) ~ (all_4_4 = e2)
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (672), (15374) imply:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15380) ~ (all_4_5 = e2)
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15380) implies:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15381) ~ (all_4_5 = e2)
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (673), (15374) imply:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15382) ~ (all_4_10 = e2)
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15382) implies:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15383) ~ (all_4_10 = e2)
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (326) gives:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15384) all_10_52 = e4
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (463), (14785), (15384) are inconsistent by
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #778.
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15385) all_10_57 = e3 | all_10_62 = e2 | all_10_67 = e1 |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_72 = e0
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (399) gives:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15386) all_12_0 = e1
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15375), (15386) imply:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15387) e2 = e1
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (15387) imply:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15388) $false
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15388) is inconsistent.
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15389) all_12_2 = e1 | all_12_6 = e1 | all_12_12 = e1 |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_20 = e1
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (388) gives:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15390) all_12_2 = e1
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (15390) imply:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15391) all_4_1 = e1
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (512), (15391) imply:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15392) all_10_51 = e1
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (676), (15391) imply:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15393) ~ (all_4_9 = e1)
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15393) implies:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15394) ~ (all_4_9 = e1)
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11), (463), (534), (14782), (14798),
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15379), (15392), (15394) are inconsistent by
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #75.
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15395) ~ (all_12_2 = e1)
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (486), (15395) imply:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15396) ~ (all_4_1 = e1)
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (368) gives:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15397) all_12_12 = e1
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (15397) imply:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15398) all_4_9 = e1
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15398) implies:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15399) all_4_9 = e1
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (15399) imply:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15400) op(e1, all_4_10) = e4
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (807), (15399) imply:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15401) op(e1, e1) = all_10_40
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_15,
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_40, e1, e1, simplifying with (23), (15401)
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15402) all_10_40 = all_4_15
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (373) gives:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15403) all_12_9 = e1
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (15403) imply:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15404) all_4_10 = e1
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15400), (15404) imply:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15405) op(e1, e1) = e4
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (15340), (15405), (function-axioms) are
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #705.
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15406) ~ (all_12_9 = e1)
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (494), (15406) imply:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15407) ~ (all_4_10 = e1)
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15344) gives:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15408) all_10_55 = e3
% 180.68/27.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15323), (15408) imply:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15409) e4 = e3
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (15409) imply:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15410) $false
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15410) is inconsistent.
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15411) all_10_60 = e2 | all_10_65 = e1 | all_10_70 = e0
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (37), (488), (516), (528), (13181), (14792),
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15381), (15407), (15411), (function-axioms) are
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #406.
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15412) ~ (all_12_12 = e1)
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (446), (15412) imply:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15413) ~ (all_4_9 = e1)
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14798) gives:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15414) all_10_51 = e3
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (512), (15414) imply:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15415) all_4_1 = e3
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15415) implies:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15416) all_4_1 = e3
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (15416) imply:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15417) all_12_2 = e3
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (675), (15416) imply:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15418) ~ (all_4_4 = e3)
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15418) implies:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15419) ~ (all_4_4 = e3)
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (681), (15416) imply:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15420) ~ (all_4_19 = e3)
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15420) implies:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15421) ~ (all_4_19 = e3)
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14784), (15416) imply:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15422) ~ (e4 = e3)
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13184) gives:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15423) all_10_71 = e3
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (547), (15421), (15423) are inconsistent by
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #96.
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15424) all_10_72 = e2 | all_10_73 = e1 | all_10_74 = e0
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15389) gives:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15425) all_12_2 = e1
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15417), (15425) imply:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15426) e3 = e1
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15414), (15426) imply:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15427) all_10_51 = e1
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11), (463), (534), (14782), (14798),
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15379), (15413), (15427) are inconsistent by
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #75.
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15428) all_12_6 = e1 | all_12_12 = e1 | all_12_20 = e1
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15424) gives:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15429) all_10_72 = e2
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (448), (15429) imply:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15430) all_4_21 = e2
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15430) implies:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15431) all_4_21 = e2
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (658), (15431) imply:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15432) all_12_18 = e2
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (753), (15431) imply:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15433) ~ (all_4_14 = e2)
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15360), (15431) imply:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15434) ~ (e4 = e2)
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15428) gives:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15435) all_12_6 = e1
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (15435) imply:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15436) all_4_4 = e1
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15436) implies:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15437) all_4_4 = e1
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (682), (15437) imply:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15438) ~ (all_4_9 = e1)
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (15437) imply:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15439) ~ (all_4_14 = e1)
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15439) implies:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15440) ~ (all_4_14 = e1)
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15419), (15437) imply:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15441) ~ (e3 = e1)
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15385) gives:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15442) all_10_57 = e3
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (523), (15442) imply:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15443) all_4_6 = e3
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15443) implies:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15444) all_4_6 = e3
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (713), (15444) imply:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15445) ~ (all_4_14 = e3)
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15445) implies:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15446) ~ (all_4_14 = e3)
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15352) gives:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15447) all_8_13 = e3
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (598), (15446), (15447) are inconsistent by
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #327.
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15448) all_8_13 = e2 | all_8_13 = e1 | all_8_13 = e0
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15448) gives:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15449) all_8_13 = e2
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (598), (15433), (15449) are inconsistent by
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #664.
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15450) ~ (all_8_13 = e2)
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15451) all_8_13 = e1 | all_8_13 = e0
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15451) gives:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15452) all_8_13 = e1
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (598), (15440), (15452) are inconsistent by
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #663.
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15453) all_8_13 = e0
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (598), (15453) imply:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15454) all_4_14 = e0
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15454) implies:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15455) all_4_14 = e0
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (532), (15455) imply:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15456) all_10_67 = e0
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (15455) imply:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15457) ~ (all_4_10 = e0)
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (752), (15455) imply:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15458) ~ (all_4_22 = e0)
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15458) implies:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15459) ~ (all_4_22 = e0)
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15338), (15455) imply:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15460) ~ (e4 = e0)
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15433), (15455) imply:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15461) ~ (e2 = e0)
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15347) gives:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15462) all_10_66 = e3
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (15336), (15462) are inconsistent by
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #445.
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15463) all_10_67 = e2 | all_10_68 = e1 | all_10_69 = e0
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15463) gives:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15464) all_10_67 = e2
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15456), (15464) imply:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15465) e2 = e0
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (15465) imply:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15466) $false
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15466) is inconsistent.
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15467) all_10_68 = e1 | all_10_69 = e0
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15467) gives:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15468) all_10_68 = e1
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (15468) imply:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15469) all_4_15 = e1
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15469) implies:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15470) all_4_15 = e1
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (15470) imply:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15471) ~ (all_4_10 = e1)
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15350) gives:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15472) all_8_3 = e3
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (594), (15472) imply:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15473) all_4_10 = e3
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15473) implies:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15474) all_4_10 = e3
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (528), (15474) imply:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15475) all_10_65 = e3
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15344) gives:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15476) all_10_55 = e3
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (15323), (15476) are inconsistent by
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #396.
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15477) all_10_60 = e2 | all_10_65 = e1 | all_10_70 = e0
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15477) gives:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15478) all_10_60 = e2
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (516), (15478) imply:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15479) all_4_5 = e2
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15381), (15479) imply:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15480) $false
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15480) is inconsistent.
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15481) all_10_65 = e1 | all_10_70 = e0
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15481) gives:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15482) all_10_65 = e1
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15475), (15482) imply:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15483) e3 = e1
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11), (463), (534), (14782), (14798),
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15379), (15413), (15414), (15483) are
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #74.
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15484) all_10_70 = e0
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (15484) imply:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15485) all_4_17 = e0
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15485) implies:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15486) all_4_17 = e0
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (37), (13181), (14792), (15486), (function-axioms)
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #408.
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15487) all_8_3 = e2 | all_8_3 = e1 | all_8_3 = e0
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (594), (15383), (15457), (15471), (15487) are
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #447.
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15488) all_10_69 = e0
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (560), (15459), (15488) are inconsistent by
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #430.
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15489) ~ (all_10_57 = e3)
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15490) all_10_62 = e2 | all_10_67 = e1 | all_10_72 = e0
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (523), (15489) imply:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15491) ~ (all_4_6 = e3)
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (380) gives:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15492) all_12_6 = e3
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15435), (15492) imply:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15493) e3 = e1
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15414), (15493) imply:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15494) all_10_51 = e1
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11), (463), (534), (14782), (14798),
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15379), (15413), (15494) are inconsistent by
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #75.
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15495) all_12_7 = e3 | all_12_8 = e3 | all_12_11 = e3 |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_18 = e3
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15495) gives:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15496) all_12_7 = e3
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (462), (15491), (15496) are inconsistent by
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #139.
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15497) all_12_8 = e3 | all_12_11 = e3 | all_12_18 = e3
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15497) gives:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15498) all_12_8 = e3
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15357), (15498) imply:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15499) e4 = e3
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (15499) imply:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15500) $false
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15500) is inconsistent.
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15501) all_12_11 = e3 | all_12_18 = e3
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15501) gives:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15502) all_12_11 = e3
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (454), (15502) imply:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15503) all_4_14 = e3
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15503) implies:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15504) all_4_14 = e3
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (532), (15504) imply:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15505) all_10_67 = e3
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15490) gives:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15506) all_10_62 = e2
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15356), (15506) imply:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15507) e4 = e2
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13), (15507) imply:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15508) $false
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15508) is inconsistent.
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15509) all_10_67 = e1 | all_10_72 = e0
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15509) gives:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15510) all_10_67 = e1
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15505), (15510) imply:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15511) e3 = e1
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11), (463), (534), (14782), (14798),
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15379), (15413), (15414), (15511) are
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #74.
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15512) all_10_72 = e0
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (15429), (15512) are inconsistent by
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #277.
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15513) all_12_18 = e3
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (15432), (15513) are inconsistent by
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #138.
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15514) all_12_12 = e1 | all_12_20 = e1
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15514) gives:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15515) all_12_12 = e1
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (15413), (15515) are inconsistent by
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #468.
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15516) all_12_20 = e1
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14779), (15516) imply:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15517) e4 = e1
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15517) implies:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15518) e4 = e1
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (15518) imply:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15519) $false
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15519) is inconsistent.
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15520) all_10_73 = e1 | all_10_74 = e0
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (562), (8424), (15371), (15520) are
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #73.
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15521) all_10_52 = e2 | all_10_53 = e1 | all_10_54 = e0
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (463), (534), (14782), (15379), (15413),
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15521) are inconsistent by sub-proof #76.
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15522) all_12_24 = e4
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (410), (9342), (15522) are inconsistent by
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #184.
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15523) ~ (all_8_12 = e4)
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (588), (15523) imply:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15524) ~ (all_4_8 = e4)
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (23), (29), (35), (66), (400), (401), (404),
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (506), (564), (9342), (14810), (15325), (15340),
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15524), (function-axioms) are inconsistent by
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #283.
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | (15525) all_12_17 = e4
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (470), (15525) imply:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | (15526) all_4_19 = e4
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12555), (15526) imply:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | (15527) $false
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15527) is inconsistent.
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | (15528) all_12_4 = e4 | all_12_9 = e4 | all_12_16 = e4
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (494), (498), (659), (13181), (15164), (15320),
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | | (15528) are inconsistent by sub-proof #328.
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.31 | | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.31 | | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | | End of split
% 180.68/27.31 | | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | | End of split
% 180.68/27.31 | | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | | End of split
% 180.68/27.31 | | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | End of split
% 180.68/27.31 | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | End of split
% 180.68/27.31 | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | End of split
% 180.68/27.31 | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | End of split
% 180.68/27.31 | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | End of split
% 180.68/27.31 | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | End of split
% 180.68/27.31 | | | | | | | | |
% 180.68/27.31 | | | | | | | | Case 2:
% 180.68/27.31 | | | | | | | | |
% 180.68/27.31 | | | | | | | | | (15529) ~ (all_12_20 = e4)
% 180.68/27.31 | | | | | | | | | (15530) all_12_21 = e4 | all_12_22 = e4 | all_12_23 = e4 |
% 180.68/27.31 | | | | | | | | | all_12_24 = e4
% 180.68/27.31 | | | | | | | | |
% 180.68/27.31 | | | | | | | | | REDUCE: (657), (15529) imply:
% 180.68/27.31 | | | | | | | | | (15531) ~ (all_4_16 = e4)
% 180.68/27.31 | | | | | | | | |
% 180.68/27.31 | | | | | | | | | BETA: splitting (324) gives:
% 180.68/27.31 | | | | | | | | |
% 180.68/27.31 | | | | | | | | | Case 1:
% 180.68/27.31 | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | (15532) all_10_54 = e4
% 180.68/27.31 | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | REF_CLOSE: (424), (15531), (15532) are inconsistent by
% 180.68/27.31 | | | | | | | | | | sub-proof #198.
% 180.68/27.31 | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | Case 2:
% 180.68/27.31 | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | (15533) ~ (all_10_54 = e4)
% 180.68/27.31 | | | | | | | | | | (15534) all_10_59 = e3 | all_10_64 = e2 | all_10_69 = e1 |
% 180.68/27.31 | | | | | | | | | | all_10_74 = e0
% 180.68/27.31 | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | BETA: splitting (223) gives:
% 180.68/27.31 | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | Case 1:
% 180.68/27.31 | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | (15535) all_8_20 = e4
% 180.68/27.31 | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | COMBINE_EQS: (572), (15535) imply:
% 180.68/27.31 | | | | | | | | | | | (15536) all_4_16 = e4
% 180.68/27.31 | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | REDUCE: (15531), (15536) imply:
% 180.68/27.31 | | | | | | | | | | | (15537) $false
% 180.68/27.31 | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | CLOSE: (15537) is inconsistent.
% 180.68/27.31 | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | Case 2:
% 180.68/27.31 | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | (15538) ~ (all_8_20 = e4)
% 180.68/27.31 | | | | | | | | | | | (15539) all_8_20 = e3 | all_8_20 = e2 | all_8_20 = e1 |
% 180.68/27.31 | | | | | | | | | | | all_8_20 = e0
% 180.68/27.31 | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | BETA: splitting (235) gives:
% 180.68/27.31 | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | Case 1:
% 180.68/27.31 | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | (15540) all_8_8 = e4
% 180.68/27.31 | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | COMBINE_EQS: (595), (15540) imply:
% 180.68/27.31 | | | | | | | | | | | | (15541) all_4_12 = e4
% 180.68/27.31 | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | SIMP: (15541) implies:
% 180.68/27.31 | | | | | | | | | | | | (15542) all_4_12 = e4
% 180.68/27.31 | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | COMBINE_EQS: (472), (15542) imply:
% 180.68/27.31 | | | | | | | | | | | | (15543) all_10_66 = e4
% 180.68/27.31 | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | COMBINE_EQS: (663), (15542) imply:
% 180.68/27.31 | | | | | | | | | | | | (15544) all_12_10 = e4
% 180.68/27.31 | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | REDUCE: (680), (15542) imply:
% 180.68/27.31 | | | | | | | | | | | | (15545) ~ (all_4_1 = e4)
% 180.68/27.31 | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | REDUCE: (708), (15542) imply:
% 180.68/27.31 | | | | | | | | | | | | (15546) ~ (all_4_3 = e4)
% 180.68/27.31 | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | REDUCE: (731), (15542) imply:
% 180.68/27.31 | | | | | | | | | | | | (15547) ~ (all_4_7 = e4)
% 180.68/27.31 | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | REDUCE: (742), (15542) imply:
% 180.68/27.31 | | | | | | | | | | | | (15548) ~ (all_4_10 = e4)
% 180.68/27.31 | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | REDUCE: (747), (15542) imply:
% 180.68/27.31 | | | | | | | | | | | | (15549) ~ (all_4_14 = e4)
% 180.68/27.31 | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | SIMP: (15549) implies:
% 180.68/27.31 | | | | | | | | | | | | (15550) ~ (all_4_14 = e4)
% 180.68/27.31 | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | REDUCE: (748), (15542) imply:
% 180.68/27.31 | | | | | | | | | | | | (15551) ~ (all_4_15 = e4)
% 180.68/27.31 | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | SIMP: (15551) implies:
% 180.68/27.31 | | | | | | | | | | | | (15552) ~ (all_4_15 = e4)
% 180.68/27.31 | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | REDUCE: (750), (15542) imply:
% 180.68/27.31 | | | | | | | | | | | | (15553) ~ (all_4_19 = e4)
% 180.68/27.31 | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | REDUCE: (749), (15542) imply:
% 180.68/27.31 | | | | | | | | | | | | (15554) ~ (all_4_22 = e4)
% 180.68/27.31 | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | REDUCE: (54), (15542) imply:
% 180.68/27.31 | | | | | | | | | | | | (15555) op(e4, all_4_11) = e1
% 180.68/27.31 | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | REDUCE: (783), (15542) imply:
% 180.68/27.31 | | | | | | | | | | | | (15556) op(e4, e1) = all_10_8
% 180.68/27.31 | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | REDUCE: (33), (15542) imply:
% 180.68/27.31 | | | | | | | | | | | | (15557) op(e3, e1) = e4
% 180.68/27.31 | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_10,
% 180.68/27.31 | | | | | | | | | | | | all_10_8, e1, e4, simplifying with (38), (15556)
% 180.68/27.31 | | | | | | | | | | | | gives:
% 180.68/27.31 | | | | | | | | | | | | (15558) all_10_8 = all_4_10
% 180.68/27.31 | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | BETA: splitting (327) gives:
% 180.68/27.31 | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | Case 1:
% 180.68/27.31 | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | (15559) all_10_51 = e4
% 180.68/27.31 | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | REF_CLOSE: (512), (15545), (15559) are inconsistent by
% 180.68/27.31 | | | | | | | | | | | | | sub-proof #472.
% 180.68/27.31 | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | Case 2:
% 180.68/27.31 | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | (15560) ~ (all_10_51 = e4)
% 180.68/27.31 | | | | | | | | | | | | | (15561) all_10_56 = e3 | all_10_61 = e2 | all_10_66 = e1 |
% 180.68/27.31 | | | | | | | | | | | | | all_10_71 = e0
% 180.68/27.31 | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | BETA: splitting (321) gives:
% 180.68/27.31 | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | Case 1:
% 180.68/27.31 | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | (15562) all_10_65 = e4
% 180.68/27.31 | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | REF_CLOSE: (528), (15548), (15562) are inconsistent by
% 180.68/27.31 | | | | | | | | | | | | | | sub-proof #790.
% 180.68/27.31 | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | Case 2:
% 180.68/27.31 | | | | | | | | | | | | | |
% 180.68/27.31 | | | | | | | | | | | | | | (15563) ~ (all_10_65 = e4)
% 180.68/27.31 | | | | | | | | | | | | | | (15564) all_10_66 = e3 | all_10_67 = e2 | all_10_68 = e1 |
% 180.68/27.31 | | | | | | | | | | | | | | all_10_69 = e0
% 180.68/27.31 | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 180.68/27.32 | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | Case 1:
% 180.68/27.32 | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | (15565) all_8_3 = e4
% 180.68/27.32 | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | REF_CLOSE: (594), (15548), (15565) are inconsistent by
% 180.68/27.32 | | | | | | | | | | | | | | | sub-proof #789.
% 180.68/27.32 | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | Case 2:
% 180.68/27.32 | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | (15566) all_8_3 = e3 | all_8_3 = e2 | all_8_3 = e1 |
% 180.68/27.32 | | | | | | | | | | | | | | | all_8_3 = e0
% 180.68/27.32 | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 180.68/27.32 | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | Case 1:
% 180.68/27.32 | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | (15567) all_8_6 = e4
% 180.68/27.32 | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | REF_CLOSE: (576), (15546), (15567) are inconsistent by
% 180.68/27.32 | | | | | | | | | | | | | | | | sub-proof #285.
% 180.68/27.32 | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | Case 2:
% 180.68/27.32 | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | (15568) ~ (all_8_6 = e4)
% 180.68/27.32 | | | | | | | | | | | | | | | | (15569) all_8_6 = e3 | all_8_6 = e2 | all_8_6 = e1 |
% 180.68/27.32 | | | | | | | | | | | | | | | | all_8_6 = e0
% 180.68/27.32 | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 180.68/27.32 | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.32 | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | (15570) all_8_7 = e4
% 180.68/27.32 | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | REF_CLOSE: (586), (15547), (15570) are inconsistent by
% 180.68/27.32 | | | | | | | | | | | | | | | | | sub-proof #783.
% 180.68/27.32 | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.32 | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | (15571) all_8_7 = e3 | all_8_7 = e2 | all_8_7 = e1 |
% 180.68/27.32 | | | | | | | | | | | | | | | | | all_8_7 = e0
% 180.68/27.32 | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 180.68/27.32 | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.32 | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | (15572) all_8_5 = e4
% 180.68/27.32 | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | REF_CLOSE: (566), (15545), (15572) are inconsistent by
% 180.68/27.32 | | | | | | | | | | | | | | | | | | sub-proof #784.
% 180.68/27.32 | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.32 | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | (15573) ~ (all_8_5 = e4)
% 180.68/27.32 | | | | | | | | | | | | | | | | | | (15574) all_8_5 = e3 | all_8_5 = e2 | all_8_5 = e1 |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | all_8_5 = e0
% 180.68/27.32 | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 180.68/27.32 | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | (15575) all_8_18 = e4
% 180.68/27.32 | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (600), (15575) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | (15576) all_4_15 = e4
% 180.68/27.32 | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | REDUCE: (15552), (15576) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | (15577) $false
% 180.68/27.32 | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | CLOSE: (15577) is inconsistent.
% 180.68/27.32 | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | (15578) ~ (all_8_18 = e4)
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | (15579) all_8_18 = e3 | all_8_18 = e2 | all_8_18 = e1 |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | all_8_18 = e0
% 180.68/27.32 | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | (15580) all_8_13 = e4
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (598), (15580) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | (15581) all_4_14 = e4
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | REDUCE: (15550), (15581) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | (15582) $false
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | CLOSE: (15582) is inconsistent.
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | (15583) ~ (all_8_13 = e4)
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | (15584) all_8_13 = e3 | all_8_13 = e2 | all_8_13 = e1 |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | all_8_13 = e0
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | BETA: splitting (406) gives:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | (15585) all_12_0 = e4
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (15585) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | (15586) all_4_0 = e4
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | REDUCE: (667), (15586) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | (15587) ~ (all_4_1 = e4)
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | REDUCE: (671), (15586) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | (15588) ~ (all_4_2 = e4)
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | SIMP: (15588) implies:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | (15589) ~ (all_4_2 = e4)
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | REDUCE: (668), (15586) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | (15590) ~ (all_4_4 = e4)
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | SIMP: (15590) implies:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | (15591) ~ (all_4_4 = e4)
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | REDUCE: (672), (15586) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | (15592) ~ (all_4_5 = e4)
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | SIMP: (15592) implies:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | (15593) ~ (all_4_5 = e4)
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | REDUCE: (669), (15586) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | (15594) ~ (all_4_9 = e4)
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | SIMP: (15594) implies:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | (15595) ~ (all_4_9 = e4)
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | REDUCE: (673), (15586) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | (15596) ~ (all_4_10 = e4)
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | REDUCE: (767), (15586) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | (15597) op(e4, e4) = all_10_0
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | REDUCE: (792), (15586) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | (15598) op(e4, e4) = all_10_25
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | REDUCE: (41), (15586) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | (15599) op(e4, e4) = e4
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_25,
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | all_10_0, e4, e4, simplifying with (15597),
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | (15598) gives:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | (15600) all_10_0 = all_10_25
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_10_0,
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | e4, e4, simplifying with (15597), (15599) gives:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | (15601) all_10_0 = e4
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15600), (15601) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | (15602) all_10_25 = e4
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | SIMP: (15602) implies:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | (15603) all_10_25 = e4
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | (15604) all_8_2 = e4
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (15593), (15604) are inconsistent by
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | sub-proof #777.
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | (15605) all_8_2 = e3 | all_8_2 = e2 | all_8_2 = e1 |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | all_8_2 = e0
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | (15606) all_8_15 = e4
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (570), (15595), (15606) are inconsistent by
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #782.
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | (15607) ~ (all_8_15 = e4)
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | (15608) all_8_15 = e3 | all_8_15 = e2 | all_8_15 = e1 |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | all_8_15 = e0
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | (15609) all_8_10 = e4
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (568), (15591), (15609) are inconsistent by
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #781.
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | (15610) ~ (all_8_10 = e4)
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | (15611) all_8_10 = e3 | all_8_10 = e2 | all_8_10 = e1 |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | all_8_10 = e0
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | (15612) all_8_1 = e4
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (574), (15589), (15612) are inconsistent by
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #776.
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | (15613) ~ (all_8_1 = e4)
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | (15614) all_8_1 = e3 | all_8_1 = e2 | all_8_1 = e1 |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | all_8_1 = e0
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (371) gives:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (15615) all_12_12 = e4
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (15595), (15615) are inconsistent by
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #613.
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (15616) all_12_13 = e4 | all_12_14 = e4 | all_12_15 = e4 |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_19 = e4
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (381) gives:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15617) all_12_6 = e4
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (665), (15591), (15617) are inconsistent by
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #780.
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15618) all_12_7 = e4 | all_12_8 = e4 | all_12_11 = e4 |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_18 = e4
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (396) gives:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15619) all_12_1 = e4
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (15619) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15620) all_4_2 = e4
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15589), (15620) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15621) $false
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15621) is inconsistent.
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15622) all_12_3 = e4 | all_12_7 = e4 | all_12_13 = e4 |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_21 = e4
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15623) all_8_21 = e4
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (582), (15623) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15624) all_4_18 = e4
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (420), (15624) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15625) all_10_59 = e4
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (656), (15624) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15626) all_12_21 = e4
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (711), (15624) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15627) ~ (all_4_6 = e4)
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (15624) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15628) ~ (all_4_11 = e4)
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (323) gives:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15629) all_10_55 = e4
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (500), (15629) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15630) all_4_2 = e4
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15589), (15630) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15631) $false
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15631) is inconsistent.
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15632) ~ (all_10_55 = e4)
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15633) all_10_56 = e3 | all_10_57 = e2 | all_10_58 = e1 |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_59 = e0
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15634) all_8_14 = e4
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (607), (15634) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15635) all_4_21 = e4
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15635) implies:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15636) all_4_21 = e4
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (448), (15636) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15637) all_10_72 = e4
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (658), (15636) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15638) all_12_18 = e4
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (764), (15636) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15639) ~ (all_4_23 = e4)
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15639) implies:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15640) ~ (all_4_23 = e4)
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (765), (15636) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15641) ~ (all_4_24 = e4)
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15616) gives:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15642) all_12_13 = e4
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (662), (15628), (15642) are inconsistent by
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #604.
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15643) all_12_14 = e4 | all_12_15 = e4 | all_12_19 = e4
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15643) gives:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15644) all_12_14 = e4
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (661), (15644) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15645) all_4_13 = e4
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15645) implies:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15646) all_4_13 = e4
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (435), (15646) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15647) all_10_63 = e4
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (733), (15646) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15648) ~ (all_4_8 = e4)
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (737), (15646) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15649) ~ (all_4_20 = e4)
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15649) implies:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15650) ~ (all_4_20 = e4)
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (325) gives:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15651) all_10_53 = e4
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (534), (15595), (15651) are inconsistent by
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #779.
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15652) ~ (all_10_53 = e4)
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15653) all_10_58 = e3 | all_10_63 = e2 | all_10_68 = e1 |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_73 = e0
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (326) gives:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15654) all_10_52 = e4
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (463), (15654) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15655) all_4_4 = e4
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15591), (15655) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15656) $false
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15656) is inconsistent.
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15657) ~ (all_10_52 = e4)
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15658) all_10_57 = e3 | all_10_62 = e2 | all_10_67 = e1 |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_72 = e0
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (322) gives:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15659) all_10_60 = e4
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (516), (15593), (15659) are inconsistent by
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #685.
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15660) ~ (all_10_60 = e4)
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15661) all_10_61 = e3 | all_10_62 = e2 | all_10_63 = e1 |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_64 = e0
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15662) all_8_19 = e4
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (551), (15662) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15663) all_4_23 = e4
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15640), (15663) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15664) $false
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15664) is inconsistent.
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15665) ~ (all_8_19 = e4)
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15666) all_8_19 = e3 | all_8_19 = e2 | all_8_19 = e1 |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_19 = e0
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (373) gives:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15667) all_12_9 = e1
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (15667) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15668) all_4_10 = e1
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15668) implies:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15669) all_4_10 = e1
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (15669) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15670) ~ (all_4_14 = e1)
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15670) implies:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15671) ~ (all_4_14 = e1)
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (15669) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15672) ~ (all_4_15 = e1)
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15672) implies:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15673) ~ (all_4_15 = e1)
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (745), (15669) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15674) ~ (all_4_22 = e1)
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15674) implies:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15675) ~ (all_4_22 = e1)
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15548), (15669) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15676) ~ (e4 = e1)
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15534) gives:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15677) all_10_59 = e3
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (15625), (15677) are inconsistent by
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #131.
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15678) all_10_64 = e2 | all_10_69 = e1 | all_10_74 = e0
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15678) gives:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15679) all_10_64 = e2
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (415), (15679) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15680) all_4_20 = e2
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15680) implies:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15681) all_4_20 = e2
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (730), (15681) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15682) ~ (all_4_7 = e2)
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (734), (15681) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15683) ~ (all_4_8 = e2)
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15650), (15681) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15684) ~ (e4 = e2)
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15658) gives:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15685) all_10_57 = e3
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (523), (15685) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15686) all_4_6 = e3
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15686) implies:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15687) all_4_6 = e3
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (710), (15687) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15688) ~ (all_4_11 = e3)
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15688) implies:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15689) ~ (all_4_11 = e3)
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15661) gives:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15690) all_10_61 = e3
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (518), (15690) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15691) all_4_7 = e3
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15691) implies:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15692) all_4_7 = e3
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (707), (15692) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15693) ~ (all_4_3 = e3)
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15561) gives:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15694) all_10_56 = e3
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (514), (15694) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15695) all_4_3 = e3
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15693), (15695) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15696) $false
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15696) is inconsistent.
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15697) all_10_61 = e2 | all_10_66 = e1 | all_10_71 = e0
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15697) gives:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15698) all_10_61 = e2
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (15690), (15698) are inconsistent by
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #438.
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15699) all_10_66 = e1 | all_10_71 = e0
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13184) gives:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15700) all_10_71 = e3
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12), (15543), (15699), (15700) are
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #72.
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15701) all_10_72 = e2 | all_10_73 = e1 | all_10_74 = e0
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13), (431), (439), (562), (8424), (15637),
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15647), (15653), (15673), (15689), (15701) are
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #71.
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15702) all_10_62 = e2 | all_10_63 = e1 | all_10_64 = e0
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12), (455), (15647), (15679), (15683),
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15702) are inconsistent by sub-proof #225.
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15703) all_10_62 = e2 | all_10_67 = e1 | all_10_72 = e0
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (455), (532), (15637), (15671), (15683),
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15703) are inconsistent by sub-proof #356.
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15704) all_10_69 = e1 | all_10_74 = e0
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (560), (562), (8424), (15675), (15704) are
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #194.
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15705) ~ (all_12_9 = e1)
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (494), (15705) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15706) ~ (all_4_10 = e1)
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (400) gives:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15707) all_12_0 = e1
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15585), (15707) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15708) e4 = e1
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (15708) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15709) $false
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15709) is inconsistent.
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15710) ~ (all_12_0 = e1)
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15711) all_12_1 = e1 | all_12_4 = e1 | all_12_9 = e1 |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_16 = e1
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (364) gives:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15712) all_12_16 = e2
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (15712) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15713) all_4_17 = e2
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (703), (15713) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15714) ~ (all_4_2 = e2)
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (727), (15713) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15715) ~ (all_4_5 = e2)
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (746), (15713) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15716) ~ (all_4_10 = e2)
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (759), (15713) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15717) ~ (all_4_23 = e2)
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15717) implies:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15718) ~ (all_4_23 = e2)
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (760), (15713) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15719) ~ (all_4_24 = e2)
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15719) implies:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15720) ~ (all_4_24 = e2)
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13181), (15713) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15721) ~ (e4 = e2)
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (50), (15713) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15722) op(all_4_16, e2) = e4
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (369) gives:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15723) all_12_12 = e2
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (15723) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15724) all_4_9 = e2
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15724) implies:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15725) all_4_9 = e2
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (676), (15725) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15726) ~ (all_4_1 = e2)
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (688), (15725) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15727) ~ (all_4_16 = e2)
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15727) implies:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15728) ~ (all_4_16 = e2)
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (56), (15725) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15729) op(all_4_10, e2) = e1
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (399) gives:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15730) all_12_0 = e1
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15585), (15730) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15731) e4 = e1
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (15731) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15732) $false
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15732) is inconsistent.
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15733) all_12_2 = e1 | all_12_6 = e1 | all_12_12 = e1 |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_20 = e1
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (403) gives:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15734) all_12_0 = e3
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15585), (15734) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15735) e4 = e3
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (15735) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15736) $false
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15736) is inconsistent.
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15737) ~ (all_12_0 = e3)
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15738) all_12_2 = e3 | all_12_6 = e3 | all_12_12 = e3 |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_20 = e3
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (395) gives:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15739) all_12_1 = e3
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (15739) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15740) all_4_2 = e3
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (702), (15740) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15741) ~ (all_4_10 = e3)
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15741) implies:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15742) ~ (all_4_10 = e3)
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15566) gives:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15743) all_8_3 = e3
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (594), (15742), (15743) are inconsistent by
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #735.
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15744) all_8_3 = e2 | all_8_3 = e1 | all_8_3 = e0
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15711) gives:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15745) all_12_1 = e1
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15739), (15745) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15746) e3 = e1
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (15746) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15747) $false
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15747) is inconsistent.
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15748) all_12_4 = e1 | all_12_9 = e1 | all_12_16 = e1
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15748) gives:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15749) all_12_4 = e1
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (15749) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15750) all_4_5 = e1
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (726), (15750) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15751) ~ (all_4_10 = e1)
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (725), (15750) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15752) ~ (all_4_20 = e1)
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15752) implies:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15753) ~ (all_4_20 = e1)
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15744) gives:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15754) all_8_3 = e2
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (594), (15716), (15754) are inconsistent by
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #744.
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15755) all_8_3 = e1 | all_8_3 = e0
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15755) gives:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15756) all_8_3 = e1
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (594), (15706), (15756) are inconsistent by
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #743.
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15757) all_8_3 = e0
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (594), (15757) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15758) all_4_10 = e0
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15758) implies:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15759) all_4_10 = e0
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15729), (15759) imply:
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15760) op(e0, e2) = e1
% 180.68/27.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_20, e1,
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (19), (15760) gives:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15761) all_4_20 = e1
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15753), (15761) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15762) $false
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15762) is inconsistent.
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15763) all_12_9 = e1 | all_12_16 = e1
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (494), (15706), (15712), (15763) are
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #738.
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15764) ~ (all_12_1 = e3)
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (666), (15764) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15765) ~ (all_4_2 = e3)
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (393) gives:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15766) all_12_1 = e1
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (15766) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15767) all_4_2 = e1
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15765), (15767) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15768) ~ (e3 = e1)
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15714), (15767) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15769) ~ (e2 = e1)
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (65), (15767) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15770) op(all_4_1, e1) = e4
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (64), (15767) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15771) op(e1, all_4_1) = e3
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (378) gives:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15772) all_12_6 = e1
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (15772) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15773) all_4_4 = e1
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15773) implies:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15774) all_4_4 = e1
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (675), (15774) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15775) ~ (all_4_1 = e1)
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (683), (15774) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15776) ~ (all_4_16 = e1)
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15776) implies:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15777) ~ (all_4_16 = e1)
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15591), (15774) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15778) ~ (e4 = e1)
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (361) gives:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15779) all_12_20 = e3
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (15779) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15780) all_4_16 = e3
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (677), (15780) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15781) ~ (all_4_1 = e3)
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (696), (15780) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15782) ~ (all_4_24 = e3)
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15782) implies:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15783) ~ (all_4_24 = e3)
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9341) gives:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15784) all_8_24 = e3
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (612), (15784) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15785) all_4_24 = e3
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15783), (15785) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15786) $false
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15786) is inconsistent.
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15787) all_8_24 = e2 | all_8_24 = e1 | all_8_24 = e0
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15574) gives:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15788) all_8_5 = e3
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (566), (15781), (15788) are inconsistent by
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #764.
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15789) all_8_5 = e2 | all_8_5 = e1 | all_8_5 = e0
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15789) gives:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15790) all_8_5 = e2
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (566), (15726), (15790) are inconsistent by
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #763.
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15791) all_8_5 = e1 | all_8_5 = e0
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15787) gives:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15792) all_8_24 = e2
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (612), (15792) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15793) all_4_24 = e2
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15720), (15793) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15794) $false
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15794) is inconsistent.
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15795) all_8_24 = e1 | all_8_24 = e0
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15795) gives:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15796) all_8_24 = e1
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (612), (15796) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15797) all_4_24 = e1
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (766), (15797) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15798) ~ (all_4_23 = e1)
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13184) gives:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15799) all_10_71 = e3
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (547), (15799) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15800) all_4_19 = e3
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15800) implies:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15801) all_4_19 = e3
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (762), (15801) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15802) ~ (all_4_23 = e3)
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15802) implies:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15803) ~ (all_4_23 = e3)
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (566), (15771), (15775), (15791), (15803),
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #335.
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15804) all_10_72 = e2 | all_10_73 = e1 | all_10_74 = e0
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (562), (654), (8424), (15637), (15798),
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15804) are inconsistent by sub-proof #117.
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15805) all_8_24 = e0
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (612), (15805) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15806) all_4_24 = e0
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8424), (15806) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15807) $false
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15807) is inconsistent.
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15808) ~ (all_12_20 = e3)
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (657), (15808) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15809) ~ (all_4_16 = e3)
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15539) gives:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15810) all_8_20 = e3
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (572), (15810) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15811) all_4_16 = e3
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15809), (15811) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15812) $false
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15812) is inconsistent.
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15813) ~ (all_8_20 = e3)
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15814) all_8_20 = e2 | all_8_20 = e1 | all_8_20 = e0
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15814) gives:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15815) all_8_20 = e2
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (572), (15815) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15816) all_4_16 = e2
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15728), (15816) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15817) $false
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15817) is inconsistent.
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15818) all_8_20 = e1 | all_8_20 = e0
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15818) gives:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15819) all_8_20 = e1
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (572), (15819) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15820) all_4_16 = e1
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15777), (15820) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15821) $false
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15821) is inconsistent.
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15822) all_8_20 = e0
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (572), (15822) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15823) all_4_16 = e0
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (15823) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15824) all_12_20 = e0
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (694), (15823) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15825) ~ (all_4_20 = e0)
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15825) implies:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15826) ~ (all_4_20 = e0)
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (695), (15823) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15827) ~ (all_4_22 = e0)
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15827) implies:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15828) ~ (all_4_22 = e0)
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (696), (15823) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15829) ~ (all_4_24 = e0)
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15809), (15823) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15830) ~ (e3 = e0)
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15738) gives:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15831) all_12_2 = e3
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (15831) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15832) all_4_1 = e3
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (679), (15832) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15833) ~ (all_4_7 = e3)
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15833) implies:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15834) ~ (all_4_7 = e3)
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (681), (15832) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15835) ~ (all_4_19 = e3)
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15835) implies:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15836) ~ (all_4_19 = e3)
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15545), (15832) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15837) ~ (e4 = e3)
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15661) gives:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15838) all_10_61 = e3
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (518), (15834), (15838) are inconsistent by
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #457.
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15839) all_10_62 = e2 | all_10_63 = e1 | all_10_64 = e0
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15839) gives:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15840) all_10_62 = e2
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (455), (15840) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15841) all_4_8 = e2
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15841) implies:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15842) all_4_8 = e2
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (735), (15842) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15843) ~ (all_4_14 = e2)
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15843) implies:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15844) ~ (all_4_14 = e2)
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (14), (431), (532), (547), (560), (562),
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (654), (755), (8424), (13184), (15543), (15564),
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15637), (15828), (15836), (15844) are
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #69.
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15845) all_10_63 = e1 | all_10_64 = e0
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (415), (15647), (15826), (15845) are
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #671.
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15846) all_12_6 = e3 | all_12_12 = e3 | all_12_20 = e3
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15846) gives:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15847) all_12_6 = e3
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (15772), (15847) are inconsistent by
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #154.
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15848) all_12_12 = e3 | all_12_20 = e3
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15848) gives:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15849) all_12_12 = e3
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (15723), (15849) are inconsistent by
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #492.
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15850) all_12_20 = e3
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (15824), (15850) are inconsistent by
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #81.
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15851) ~ (all_12_6 = e1)
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (665), (15851) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15852) ~ (all_4_4 = e1)
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (388) gives:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15853) all_12_2 = e1
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (15853) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15854) all_4_1 = e1
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15770), (15854) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15855) op(e1, e1) = e4
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (15552), (15855), (function-axioms) are
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #705.
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15856) ~ (all_12_2 = e1)
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (486), (15856) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15857) ~ (all_4_1 = e1)
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15733) gives:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15858) all_12_2 = e1
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (15858) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15859) all_4_1 = e1
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15857), (15859) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15860) $false
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15860) is inconsistent.
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15861) all_12_6 = e1 | all_12_12 = e1 | all_12_20 = e1
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15861) gives:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15862) all_12_6 = e1
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (665), (15852), (15862) are inconsistent by
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #769.
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15863) all_12_12 = e1 | all_12_20 = e1
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15863) gives:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15864) all_12_12 = e1
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15723), (15864) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15865) e2 = e1
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15865) implies:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15866) e2 = e1
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (15866) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15867) $false
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15867) is inconsistent.
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15868) all_12_20 = e1
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (15868) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15869) all_4_16 = e1
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15869) implies:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15870) all_4_16 = e1
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (695), (15870) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15871) ~ (all_4_22 = e1)
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15871) implies:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15872) ~ (all_4_22 = e1)
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15531), (15870) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15873) ~ (e4 = e1)
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15534) gives:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15874) all_10_59 = e3
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (15625), (15874) are inconsistent by
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #131.
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15875) ~ (all_10_59 = e3)
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15876) all_10_64 = e2 | all_10_69 = e1 | all_10_74 = e0
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15876) gives:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15877) all_10_64 = e2
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (415), (15877) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15878) all_4_20 = e2
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15878) implies:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15879) all_4_20 = e2
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (655), (15879) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15880) all_12_22 = e2
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (734), (15879) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15881) ~ (all_4_8 = e2)
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (740), (15879) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15882) ~ (all_4_22 = e2)
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15882) implies:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15883) ~ (all_4_22 = e2)
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8422) gives:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15884) all_12_20 = e0
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15868), (15884) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15885) e1 = e0
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15885) implies:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15886) e1 = e0
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (15886) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15887) $false
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15887) is inconsistent.
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15888) all_12_21 = e0 | all_12_22 = e0 | all_12_23 = e0
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15888) gives:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15889) all_12_21 = e0
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (15626), (15889) are inconsistent by
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #132.
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15890) all_12_22 = e0 | all_12_23 = e0
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15890) gives:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15891) all_12_22 = e0
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (15880), (15891) are inconsistent by
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #80.
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15892) all_12_23 = e0
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (414), (15892) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15893) all_4_22 = e0
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15893) implies:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15894) all_4_22 = e0
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15883), (15894) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15895) ~ (e2 = e0)
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (361) gives:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15896) all_12_20 = e3
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15868), (15896) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15897) e3 = e1
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (15897) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15898) $false
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15898) is inconsistent.
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15899) all_12_21 = e3 | all_12_22 = e3 | all_12_23 = e3 |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_24 = e3
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15899) gives:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15900) all_12_21 = e3
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (15626), (15900) are inconsistent by
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #495.
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15901) all_12_22 = e3 | all_12_23 = e3 | all_12_24 = e3
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15901) gives:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15902) all_12_22 = e3
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15880), (15902) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15903) e3 = e2
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (15903) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15904) $false
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15904) is inconsistent.
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15905) all_12_23 = e3 | all_12_24 = e3
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15905) gives:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15906) all_12_23 = e3
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15892), (15906) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15907) e3 = e0
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (15907) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15908) $false
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15908) is inconsistent.
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15909) all_12_24 = e3
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (410), (15909) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15910) all_4_24 = e3
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15910) implies:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15911) all_4_24 = e3
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (766), (15911) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15912) ~ (all_4_23 = e3)
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15661) gives:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15913) all_10_61 = e3
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (518), (15913) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15914) all_4_7 = e3
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15914) implies:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15915) all_4_7 = e3
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (679), (15915) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15916) ~ (all_4_1 = e3)
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (566), (15574), (15726), (15771), (15857),
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15912), (15916), (function-axioms) are
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #334.
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15917) all_10_62 = e2 | all_10_63 = e1 | all_10_64 = e0
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12), (455), (15647), (15877), (15881),
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15917) are inconsistent by sub-proof #225.
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15918) all_10_69 = e1 | all_10_74 = e0
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (560), (562), (8424), (15872), (15918) are
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #194.
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15919) ~ (all_12_1 = e1)
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (666), (15919) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15920) ~ (all_4_2 = e1)
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (34), (494), (498), (574), (594), (666),
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (701), (702), (722), (726), (15566), (15614),
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15706), (15711), (15712), (15714), (15716),
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15729), (15765), (15920), (function-axioms) are
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #737.
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15921) ~ (all_12_12 = e2)
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (446), (15921) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15922) ~ (all_4_9 = e2)
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (404) gives:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15923) all_12_0 = e3
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15585), (15923) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15924) e4 = e3
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (15924) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15925) $false
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15925) is inconsistent.
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15926) ~ (all_12_0 = e3)
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15927) all_12_1 = e3 | all_12_4 = e3 | all_12_9 = e3 |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_16 = e3
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (389) gives:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15928) all_12_2 = e2
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (15928) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15929) all_4_1 = e2
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15929) implies:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15930) all_4_1 = e2
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (675), (15930) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15931) ~ (all_4_4 = e2)
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15931) implies:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15932) ~ (all_4_4 = e2)
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (679), (15930) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15933) ~ (all_4_7 = e2)
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15933) implies:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15934) ~ (all_4_7 = e2)
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (681), (15930) imply:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15935) ~ (all_4_19 = e2)
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15935) implies:
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15936) ~ (all_4_19 = e2)
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (65), (15930) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15937) op(e2, all_4_2) = e4
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (399) gives:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15938) all_12_0 = e1
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15585), (15938) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15939) e4 = e1
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (15939) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15940) $false
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15940) is inconsistent.
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15941) all_12_2 = e1 | all_12_6 = e1 | all_12_12 = e1 |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_20 = e1
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (397) gives:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15942) all_12_0 = e0
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15585), (15942) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15943) e4 = e0
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (15943) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15944) $false
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15944) is inconsistent.
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15945) all_12_2 = e0 | all_12_6 = e0 | all_12_12 = e0 |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_20 = e0
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (393) gives:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15946) all_12_1 = e1
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (15946) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15947) all_4_2 = e1
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15937), (15947) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15948) op(e2, e1) = e4
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (15550), (15948), (function-axioms) are
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #684.
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15949) ~ (all_12_1 = e1)
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (666), (15949) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15950) ~ (all_4_2 = e1)
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15711) gives:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15951) all_12_1 = e1
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (15951) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15952) all_4_2 = e1
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15950), (15952) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15953) $false
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15953) is inconsistent.
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15954) all_12_4 = e1 | all_12_9 = e1 | all_12_16 = e1
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15954) gives:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15955) all_12_4 = e1
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (15955) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15956) all_4_5 = e1
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (723), (15956) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15957) ~ (all_4_8 = e1)
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15957) implies:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15958) ~ (all_4_8 = e1)
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (726), (15956) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15959) ~ (all_4_10 = e1)
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15715), (15956) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15960) ~ (e2 = e1)
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (15956) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15961) op(all_4_4, e1) = e4
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (359) gives:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15962) all_12_20 = e1
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (15962) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15963) all_4_16 = e1
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15963) implies:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15964) all_4_16 = e1
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (683), (15964) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15965) ~ (all_4_4 = e1)
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (695), (15964) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15966) ~ (all_4_22 = e1)
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15966) implies:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15967) ~ (all_4_22 = e1)
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (696), (15964) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15968) ~ (all_4_24 = e1)
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15968) implies:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15969) ~ (all_4_24 = e1)
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15531), (15964) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15970) ~ (e4 = e1)
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9341) gives:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15971) all_8_24 = e3
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (612), (15971) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15972) all_4_24 = e3
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15972) implies:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15973) all_4_24 = e3
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (562), (15973) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15974) all_10_74 = e3
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (756), (15973) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15975) ~ (all_4_22 = e3)
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9342), (15973) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15976) ~ (e4 = e3)
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15534) gives:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15977) all_10_59 = e3
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (15625), (15977) are inconsistent by
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #131.
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15978) all_10_64 = e2 | all_10_69 = e1 | all_10_74 = e0
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15978) gives:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15979) all_10_64 = e2
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (415), (15979) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15980) all_4_20 = e2
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15980) implies:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15981) all_4_20 = e2
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (655), (15981) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15982) all_12_22 = e2
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (734), (15981) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15983) ~ (all_4_8 = e2)
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (740), (15981) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15984) ~ (all_4_22 = e2)
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15984) implies:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15985) ~ (all_4_22 = e2)
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15661) gives:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15986) all_10_61 = e3
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (518), (15986) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15987) all_4_7 = e3
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15987) implies:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15988) all_4_7 = e3
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (15988) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15989) all_12_5 = e3
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (707), (15988) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15990) ~ (all_4_3 = e3)
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (382) gives:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15991) all_12_4 = e0
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15955), (15991) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15992) e1 = e0
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (15992) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15993) $false
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15993) is inconsistent.
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15994) all_12_5 = e0 | all_12_8 = e0 | all_12_14 = e0 |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_22 = e0
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14777) gives:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15995) all_8_23 = e3
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (602), (15995) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15996) all_4_22 = e3
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15975), (15996) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15997) $false
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15997) is inconsistent.
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15998) ~ (all_8_23 = e3)
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15999) all_8_23 = e2 | all_8_23 = e1 | all_8_23 = e0
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15999) gives:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16000) all_8_23 = e2
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (602), (16000) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16001) all_4_22 = e2
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15985), (16001) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16002) $false
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16002) is inconsistent.
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16003) ~ (all_8_23 = e2)
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16004) all_8_23 = e1 | all_8_23 = e0
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15994) gives:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16005) all_12_5 = e0
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15989), (16005) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16006) e3 = e0
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16006) implies:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16007) e3 = e0
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (16007) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16008) $false
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16008) is inconsistent.
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16009) all_12_8 = e0 | all_12_14 = e0 | all_12_22 = e0
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16004) gives:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16010) all_8_23 = e1
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (602), (16010) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16011) all_4_22 = e1
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15967), (16011) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16012) $false
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16012) is inconsistent.
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16013) all_8_23 = e0
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (602), (16013) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16014) all_4_22 = e0
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (745), (16014) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16015) ~ (all_4_10 = e0)
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14778), (16014) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16016) ~ (e4 = e0)
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15975), (16014) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16017) ~ (e3 = e0)
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15985), (16014) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16018) ~ (e2 = e0)
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13184) gives:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16019) all_10_71 = e3
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12), (514), (518), (15543), (15561),
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15934), (15990), (16019) are inconsistent by
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #67.
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16020) all_10_72 = e2 | all_10_73 = e1 | all_10_74 = e0
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16020) gives:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16021) all_10_72 = e2
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (15637), (16021) are inconsistent by
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #118.
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16022) ~ (all_10_72 = e2)
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16023) all_10_73 = e1 | all_10_74 = e0
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16009) gives:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16024) all_12_8 = e0
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (664), (16024) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16025) all_4_8 = e0
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (16025) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16026) ~ (all_4_4 = e0)
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15958), (16025) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16027) ~ (e1 = e0)
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15561) gives:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16028) all_10_56 = e3
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (514), (16028) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16029) all_4_3 = e3
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15990), (16029) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16030) $false
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16030) is inconsistent.
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16031) all_10_61 = e2 | all_10_66 = e1 | all_10_71 = e0
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16031) gives:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16032) all_10_61 = e2
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (10), (11), (12), (13), (431), (439),
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (455), (523), (532), (560), (562), (710), (752),
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (754), (8424), (15637), (15647), (15653), (15658),
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15661), (15978), (15983), (16020), (16032) are
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #65.
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16033) all_10_66 = e1 | all_10_71 = e0
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16033) gives:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16034) all_10_66 = e1
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (15543), (16034) are inconsistent by
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #437.
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16035) all_10_71 = e0
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (547), (16035) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16036) all_4_19 = e0
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16036) implies:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16037) all_4_19 = e0
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (762), (16037) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16038) ~ (all_4_23 = e0)
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16038) implies:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16039) ~ (all_4_23 = e0)
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15611) gives:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16040) all_8_10 = e3
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (568), (16040) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16041) all_4_4 = e3
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16041) implies:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16042) all_4_4 = e3
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (16042) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16043) all_12_6 = e3
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16023) gives:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16044) all_10_73 = e1
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (654), (16044) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16045) all_4_23 = e1
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16045) implies:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16046) all_4_23 = e1
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15945) gives:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16047) all_12_2 = e0
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15928), (16047) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16048) e2 = e0
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (16048) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16049) $false
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16049) is inconsistent.
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16050) all_12_6 = e0 | all_12_12 = e0 | all_12_20 = e0
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16050) gives:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16051) all_12_6 = e0
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (16043), (16051) are inconsistent by
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #86.
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16052) all_12_12 = e0 | all_12_20 = e0
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16052) gives:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16053) all_12_12 = e0
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (16053) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16054) all_4_9 = e0
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16054) implies:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16055) all_4_9 = e0
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (56), (16055) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16056) op(all_4_10, e0) = e1
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15566) gives:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16057) all_8_3 = e3
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (594), (16057) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16058) all_4_10 = e3
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16058) implies:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16059) all_4_10 = e3
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16056), (16059) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16060) op(e3, e0) = e1
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (13), (32), (547), (562), (654), (762),
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8424), (13184), (15637), (16060),
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #64.
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16061) all_8_3 = e2 | all_8_3 = e1 | all_8_3 = e0
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (594), (15706), (15716), (16015), (16061) are
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #447.
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16062) all_12_20 = e0
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15962), (16062) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16063) e1 = e0
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (562), (8424), (16023), (16044), (16063) are
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #218.
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16064) all_10_74 = e0
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (15974), (16064) are inconsistent by
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #158.
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16065) all_8_10 = e2 | all_8_10 = e1 | all_8_10 = e0
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (568), (15932), (15965), (16026), (16065) are
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #716.
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16066) all_12_14 = e0 | all_12_22 = e0
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16066) gives:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16067) all_12_14 = e0
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (15644), (16067) are inconsistent by
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #652.
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16068) all_12_22 = e0
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (15982), (16068) are inconsistent by
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #80.
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16069) all_10_62 = e2 | all_10_63 = e1 | all_10_64 = e0
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12), (455), (15647), (15979), (15983),
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16069) are inconsistent by sub-proof #225.
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16070) all_10_69 = e1 | all_10_74 = e0
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (560), (562), (8424), (15967), (16070) are
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #194.
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16071) all_8_24 = e2 | all_8_24 = e1 | all_8_24 = e0
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (612), (8424), (15720), (15969), (16071) are
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #272.
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16072) ~ (all_12_20 = e1)
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (657), (16072) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16073) ~ (all_4_16 = e1)
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (378) gives:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16074) all_12_6 = e1
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (665), (15552), (15961), (16074),
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #63.
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16075) ~ (all_12_6 = e1)
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (665), (16075) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16076) ~ (all_4_4 = e1)
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15941) gives:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16077) all_12_2 = e1
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15928), (16077) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16078) e2 = e1
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (16078) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16079) $false
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16079) is inconsistent.
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16080) all_12_6 = e1 | all_12_12 = e1 | all_12_20 = e1
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16080) gives:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16081) all_12_6 = e1
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (665), (16076), (16081) are inconsistent by
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #769.
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16082) all_12_12 = e1 | all_12_20 = e1
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16082) gives:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16083) all_12_12 = e1
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (16083) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16084) all_4_9 = e1
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16084) implies:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16085) all_4_9 = e1
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (692), (16085) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16086) ~ (all_4_23 = e1)
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16086) implies:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16087) ~ (all_4_23 = e1)
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15595), (16085) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16088) ~ (e4 = e1)
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13184) gives:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16089) all_10_71 = e3
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (547), (16089) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16090) all_4_19 = e3
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16090) implies:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16091) all_4_19 = e3
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (709), (16091) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16092) ~ (all_4_3 = e3)
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12), (514), (518), (15543), (15561),
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15934), (16089), (16092) are inconsistent by
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #67.
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16093) all_10_72 = e2 | all_10_73 = e1 | all_10_74 = e0
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (562), (654), (8424), (15637), (16087),
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16093) are inconsistent by sub-proof #117.
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16094) all_12_20 = e1
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (657), (16073), (16094) are inconsistent by
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #250.
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16095) all_12_9 = e1 | all_12_16 = e1
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (494), (15706), (15712), (16095) are
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #738.
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16096) ~ (all_12_2 = e2)
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (486), (16096) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16097) ~ (all_4_1 = e2)
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (401) gives:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16098) all_12_0 = e2
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15585), (16098) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16099) e4 = e2
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13), (16099) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16100) $false
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16100) is inconsistent.
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16101) all_12_2 = e2 | all_12_6 = e2 | all_12_12 = e2 |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_20 = e2
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (360) gives:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16102) all_12_20 = e2
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (16102) imply:
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16103) all_4_16 = e2
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16103) implies:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16104) all_4_16 = e2
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15722), (16104) imply:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16105) op(e2, e2) = e4
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (15648), (16105), (function-axioms) are
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #736.
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16106) ~ (all_12_20 = e2)
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (657), (16106) imply:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16107) ~ (all_4_16 = e2)
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16101) gives:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16108) all_12_2 = e2
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (16097), (16108) are inconsistent by
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #682.
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16109) all_12_6 = e2 | all_12_12 = e2 | all_12_20 = e2
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16109) gives:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16110) all_12_6 = e2
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (16110) imply:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16111) all_4_4 = e2
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16111) implies:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16112) all_4_4 = e2
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (16112) imply:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16113) ~ (all_4_6 = e2)
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16113) implies:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16114) ~ (all_4_6 = e2)
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (682), (16112) imply:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16115) ~ (all_4_9 = e2)
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (16112) imply:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16116) ~ (all_4_14 = e2)
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16116) implies:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16117) ~ (all_4_14 = e2)
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (683), (16112) imply:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16118) ~ (all_4_16 = e2)
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (16112) imply:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16119) op(e2, all_4_5) = e4
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (403) gives:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16120) all_12_0 = e3
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15585), (16120) imply:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16121) e4 = e3
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (16121) imply:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16122) $false
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16122) is inconsistent.
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16123) all_12_2 = e3 | all_12_6 = e3 | all_12_12 = e3 |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_20 = e3
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (398) gives:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16124) all_12_0 = e0
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15585), (16124) imply:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16125) e4 = e0
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (16125) imply:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16126) $false
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16126) is inconsistent.
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16127) ~ (all_12_0 = e0)
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16128) all_12_1 = e0 | all_12_4 = e0 | all_12_9 = e0 |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_16 = e0
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (395) gives:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16129) all_12_1 = e3
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (16129) imply:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16130) all_4_2 = e3
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (701), (16130) imply:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16131) ~ (all_4_5 = e3)
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16131) implies:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16132) ~ (all_4_5 = e3)
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (702), (16130) imply:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16133) ~ (all_4_10 = e3)
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16133) implies:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16134) ~ (all_4_10 = e3)
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15566) gives:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16135) all_8_3 = e3
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (594), (16134), (16135) are inconsistent by
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #735.
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16136) all_8_3 = e2 | all_8_3 = e1 | all_8_3 = e0
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16136) gives:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16137) all_8_3 = e2
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (594), (15716), (16137) are inconsistent by
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #744.
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16138) all_8_3 = e1 | all_8_3 = e0
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16138) gives:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16139) all_8_3 = e1
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (594), (15706), (16139) are inconsistent by
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #743.
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16140) all_8_3 = e0
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (594), (16140) imply:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16141) all_4_10 = e0
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16141) implies:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16142) all_4_10 = e0
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (726), (16142) imply:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16143) ~ (all_4_5 = e0)
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15605) gives:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16144) all_8_2 = e3
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (16132), (16144) are inconsistent by
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #753.
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16145) all_8_2 = e2 | all_8_2 = e1 | all_8_2 = e0
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16145) gives:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16146) all_8_2 = e2
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (15715), (16146) are inconsistent by
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #752.
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16147) all_8_2 = e1 | all_8_2 = e0
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16147) gives:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16148) all_8_2 = e1
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (583), (16148) imply:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16149) all_4_5 = e1
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16149) implies:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16150) all_4_5 = e1
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16119), (16150) imply:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16151) op(e2, e1) = e4
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (15550), (16151), (function-axioms) are
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #684.
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16152) all_8_2 = e0
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (16143), (16152) are inconsistent by
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #750.
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16153) ~ (all_12_1 = e3)
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (666), (16153) imply:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16154) ~ (all_4_2 = e3)
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (385) gives:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16155) all_12_4 = e3
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (16155) imply:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16156) all_4_5 = e3
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (726), (16156) imply:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16157) ~ (all_4_10 = e3)
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16157) implies:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16158) ~ (all_4_10 = e3)
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15593), (16156) imply:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16159) ~ (e4 = e3)
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15711) gives:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16160) all_12_1 = e1
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (16160) imply:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16161) all_4_2 = e1
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (699), (16161) imply:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16162) ~ (all_4_11 = e1)
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16162) implies:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16163) ~ (all_4_11 = e1)
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16128) gives:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16164) all_12_1 = e0
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16160), (16164) imply:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16165) e1 = e0
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (16165) imply:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16166) $false
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16166) is inconsistent.
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16167) all_12_4 = e0 | all_12_9 = e0 | all_12_16 = e0
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16167) gives:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16168) all_12_4 = e0
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16155), (16168) imply:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16169) e3 = e0
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (16169) imply:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16170) $false
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16170) is inconsistent.
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16171) all_12_9 = e0 | all_12_16 = e0
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16171) gives:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16172) all_12_9 = e0
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (16172) imply:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16173) all_4_10 = e0
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (745), (16173) imply:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16174) ~ (all_4_22 = e0)
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16174) implies:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16175) ~ (all_4_22 = e0)
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15548), (16173) imply:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16176) ~ (e4 = e0)
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15564) gives:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16177) all_10_66 = e3
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (15543), (16177) are inconsistent by
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #445.
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16178) all_10_67 = e2 | all_10_68 = e1 | all_10_69 = e0
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16178) gives:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16179) all_10_67 = e2
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (532), (16117), (16179) are inconsistent by
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #453.
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16180) all_10_68 = e1 | all_10_69 = e0
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15633) gives:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16181) all_10_56 = e3
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (514), (16181) imply:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16182) all_4_3 = e3
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (709), (16182) imply:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16183) ~ (all_4_19 = e3)
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16183) implies:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16184) ~ (all_4_19 = e3)
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (431), (547), (560), (562), (654), (755),
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8424), (13184), (15637), (16175), (16180),
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16184) are inconsistent by sub-proof #70.
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16185) all_10_57 = e2 | all_10_58 = e1 | all_10_59 = e0
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (439), (523), (15625), (16114), (16163),
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16185) are inconsistent by sub-proof #484.
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16186) all_12_16 = e0
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15712), (16186) imply:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16187) e2 = e0
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (16187) imply:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16188) $false
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16188) is inconsistent.
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16189) ~ (all_12_1 = e1)
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (666), (16189) imply:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16190) ~ (all_4_2 = e1)
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (574), (594), (702), (15566), (15614), (15706),
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15714), (15716), (16154), (16158), (16190) are
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #423.
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16191) ~ (all_12_4 = e3)
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (498), (16191) imply:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16192) ~ (all_4_5 = e3)
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15927) gives:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16193) all_12_1 = e3
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (16193) imply:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16194) all_4_2 = e3
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16154), (16194) imply:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16195) $false
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16195) is inconsistent.
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16196) all_12_4 = e3 | all_12_9 = e3 | all_12_16 = e3
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16196) gives:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16197) all_12_4 = e3
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (16197) imply:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16198) all_4_5 = e3
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16192), (16198) imply:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16199) $false
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16199) is inconsistent.
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16200) all_12_9 = e3 | all_12_16 = e3
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16200) gives:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16201) all_12_9 = e3
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (16201) imply:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16202) all_4_10 = e3
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (16202) imply:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16203) op(all_4_9, e3) = e4
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (56), (16202) imply:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16204) op(e3, all_4_9) = e1
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (782), (16202) imply:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16205) op(e3, e1) = all_10_3
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_10_3,
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (15557), (16205) gives:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16206) all_10_3 = e4
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (361) gives:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16207) all_12_20 = e3
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (16207) imply:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16208) all_4_16 = e3
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (688), (16208) imply:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16209) ~ (all_4_9 = e3)
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (696), (16208) imply:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16210) ~ (all_4_24 = e3)
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16210) implies:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16211) ~ (all_4_24 = e3)
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9341) gives:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16212) all_8_24 = e3
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (612), (16211), (16212) are inconsistent by
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #267.
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16213) all_8_24 = e2 | all_8_24 = e1 | all_8_24 = e0
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16213) gives:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16214) all_8_24 = e2
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (612), (15720), (16214) are inconsistent by
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #274.
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16215) all_8_24 = e1 | all_8_24 = e0
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16215) gives:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16216) all_8_24 = e1
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (612), (16216) imply:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16217) all_4_24 = e1
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16217) implies:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16218) all_4_24 = e1
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (766), (16218) imply:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16219) ~ (all_4_23 = e1)
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13184) gives:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16220) all_10_71 = e3
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (547), (16220) imply:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16221) all_4_19 = e3
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16221) implies:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16222) all_4_19 = e3
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (762), (16222) imply:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16223) ~ (all_4_23 = e3)
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16223) implies:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16224) ~ (all_4_23 = e3)
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15666) gives:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16225) all_8_19 = e3
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (551), (16224), (16225) are inconsistent by
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #668.
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16226) all_8_19 = e2 | all_8_19 = e1 | all_8_19 = e0
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16226) gives:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16227) all_8_19 = e2
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (551), (15718), (16227) are inconsistent by
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #164.
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16228) all_8_19 = e1 | all_8_19 = e0
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16228) gives:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16229) all_8_19 = e1
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (551), (16219), (16229) are inconsistent by
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #163.
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16230) all_8_19 = e0
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (551), (16230) imply:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16231) all_4_23 = e0
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16231) implies:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16232) all_4_23 = e0
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (692), (16232) imply:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16233) ~ (all_4_9 = e0)
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (570), (15557), (15595), (15608), (15922),
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16204), (16209), (16233), (function-axioms) are
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #443.
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16234) all_10_72 = e2 | all_10_73 = e1 | all_10_74 = e0
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (562), (654), (8424), (15637), (16219),
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16234) are inconsistent by sub-proof #117.
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16235) all_8_24 = e0
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (612), (8424), (16235) are inconsistent by
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #252.
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16236) ~ (all_12_20 = e3)
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (657), (16236) imply:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16237) ~ (all_4_16 = e3)
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (370) gives:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16238) all_12_12 = e3
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (16238) imply:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16239) all_4_9 = e3
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16203), (16239) imply:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16240) op(e3, e3) = e4
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (15546), (16240), (function-axioms) are
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #704.
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16241) ~ (all_12_12 = e3)
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (446), (16241) imply:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16242) ~ (all_4_9 = e3)
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16123) gives:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16243) all_12_2 = e3
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (16243) imply:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16244) all_4_1 = e3
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (678), (16244) imply:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16245) ~ (all_4_3 = e3)
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16245) implies:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16246) ~ (all_4_3 = e3)
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (681), (16244) imply:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16247) ~ (all_4_19 = e3)
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16247) implies:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16248) ~ (all_4_19 = e3)
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13184) gives:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16249) all_10_71 = e3
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (547), (16248), (16249) are inconsistent by
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #96.
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16250) all_10_72 = e2 | all_10_73 = e1 | all_10_74 = e0
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16250) gives:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16251) all_10_72 = e2
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (15637), (16251) are inconsistent by
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #118.
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16252) all_10_73 = e1 | all_10_74 = e0
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15633) gives:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16253) all_10_56 = e3
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (514), (16253) imply:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16254) all_4_3 = e3
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16246), (16254) imply:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16255) $false
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16255) is inconsistent.
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16256) all_10_57 = e2 | all_10_58 = e1 | all_10_59 = e0
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16256) gives:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16257) all_10_57 = e2
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (523), (16257) imply:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16258) all_4_6 = e2
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16114), (16258) imply:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16259) $false
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16259) is inconsistent.
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16260) all_10_58 = e1 | all_10_59 = e0
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16260) gives:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16261) all_10_58 = e1
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (16261) imply:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16262) all_4_11 = e1
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (718), (16262) imply:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16263) ~ (all_4_23 = e1)
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16263) implies:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16264) ~ (all_4_23 = e1)
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (562), (654), (8424), (16252), (16264) are
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #271.
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16265) all_10_59 = e0
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15625), (16265) imply:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16266) e4 = e0
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (16266) imply:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16267) $false
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16267) is inconsistent.
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16268) all_12_6 = e3 | all_12_12 = e3 | all_12_20 = e3
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16268) gives:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16269) all_12_6 = e3
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (446), (657), (15922), (16107), (16109),
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16269) are inconsistent by sub-proof #208.
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16270) all_12_12 = e3 | all_12_20 = e3
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (657), (16237), (16242), (16270) are
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #648.
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16271) all_12_16 = e3
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15712), (16271) imply:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16272) e3 = e2
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16272) implies:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16273) e3 = e2
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (16273) imply:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16274) $false
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16274) is inconsistent.
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16275) all_12_12 = e2 | all_12_20 = e2
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (657), (15922), (16107), (16275) are
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #209.
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16276) ~ (all_12_16 = e2)
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (659), (16276) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16277) ~ (all_4_17 = e2)
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (402) gives:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16278) all_12_0 = e2
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15585), (16278) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16279) e4 = e2
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13), (16279) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16280) $false
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16280) is inconsistent.
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16281) ~ (all_12_0 = e2)
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16282) all_12_1 = e2 | all_12_4 = e2 | all_12_9 = e2 |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_16 = e2
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (368) gives:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16283) all_12_12 = e1
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (16283) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16284) all_4_9 = e1
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16284) implies:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16285) all_4_9 = e1
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (676), (16285) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16286) ~ (all_4_1 = e1)
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (682), (16285) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16287) ~ (all_4_4 = e1)
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (692), (16285) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16288) ~ (all_4_23 = e1)
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16288) implies:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16289) ~ (all_4_23 = e1)
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15595), (16285) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16290) ~ (e4 = e1)
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13184) gives:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16291) all_10_71 = e3
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (547), (16291) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16292) all_4_19 = e3
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16292) implies:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16293) all_4_19 = e3
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (470), (16293) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16294) all_12_17 = e3
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (709), (16293) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16295) ~ (all_4_3 = e3)
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12555), (16293) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16296) ~ (e4 = e3)
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15561) gives:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16297) all_10_56 = e3
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (514), (16295), (16297) are inconsistent by
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #439.
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16298) all_10_61 = e2 | all_10_66 = e1 | all_10_71 = e0
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16298) gives:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16299) all_10_61 = e2
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (518), (16299) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16300) all_4_7 = e2
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16300) implies:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16301) all_4_7 = e2
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (16301) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16302) all_12_5 = e2
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (728), (16301) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16303) ~ (all_4_8 = e2)
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16303) implies:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16304) ~ (all_4_8 = e2)
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (730), (16301) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16305) ~ (all_4_20 = e2)
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16305) implies:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16306) ~ (all_4_20 = e2)
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (388) gives:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16307) all_12_2 = e1
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (16286), (16307) are inconsistent by
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #561.
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16308) all_12_3 = e1 | all_12_5 = e1 | all_12_10 = e1 |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_17 = e1
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16308) gives:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16309) all_12_3 = e1
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (482), (16309) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16310) all_4_3 = e1
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (387) gives:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16311) all_12_2 = e0
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (16311) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16312) all_4_1 = e0
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16312) implies:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16313) all_4_1 = e0
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (675), (16313) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16314) ~ (all_4_4 = e0)
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16314) implies:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16315) ~ (all_4_4 = e0)
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15545), (16313) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16316) ~ (e4 = e0)
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16286), (16313) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16317) ~ (e1 = e0)
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15534) gives:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16318) all_10_59 = e3
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15625), (16318) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16319) e4 = e3
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (16319) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16320) $false
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16320) is inconsistent.
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16321) ~ (all_10_59 = e3)
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16322) all_10_64 = e2 | all_10_69 = e1 | all_10_74 = e0
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16322) gives:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16323) all_10_64 = e2
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (415), (16306), (16323) are inconsistent by
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #254.
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16324) all_10_69 = e1 | all_10_74 = e0
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16324) gives:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16325) all_10_69 = e1
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (560), (16325) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16326) all_4_22 = e1
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16326) implies:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16327) all_4_22 = e1
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (752), (16327) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16328) ~ (all_4_14 = e1)
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (754), (16327) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16329) ~ (all_4_15 = e1)
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15564) gives:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16330) all_10_66 = e3
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (15543), (16330) are inconsistent by
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #445.
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16331) all_10_67 = e2 | all_10_68 = e1 | all_10_69 = e0
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15658) gives:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16332) all_10_57 = e3
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (523), (16332) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16333) all_4_6 = e3
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (16333) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16334) ~ (all_4_4 = e3)
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15611) gives:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16335) all_8_10 = e3
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (568), (16334), (16335) are inconsistent by
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #661.
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16336) all_8_10 = e2 | all_8_10 = e1 | all_8_10 = e0
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16336) gives:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16337) all_8_10 = e2
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (568), (16337) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16338) all_4_4 = e2
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16338) implies:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16339) all_4_4 = e2
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (16339) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16340) ~ (all_4_14 = e2)
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16340) implies:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16341) ~ (all_4_14 = e2)
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16331) gives:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16342) all_10_67 = e2
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (532), (16341), (16342) are inconsistent by
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #453.
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16343) all_10_68 = e1 | all_10_69 = e0
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (431), (562), (8424), (16324), (16329),
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16343) are inconsistent by sub-proof #179.
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16344) all_8_10 = e1 | all_8_10 = e0
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (568), (16287), (16315), (16344) are inconsistent
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #717.
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16345) all_10_62 = e2 | all_10_67 = e1 | all_10_72 = e0
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (455), (532), (15637), (16304), (16328),
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16345) are inconsistent by sub-proof #356.
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16346) all_10_74 = e0
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (562), (8424), (16346) are inconsistent by
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #276.
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16347) all_12_3 = e0 | all_12_5 = e0 | all_12_10 = e0 |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_17 = e0
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16347) gives:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16348) all_12_3 = e0
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16309), (16348) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16349) e1 = e0
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (16349) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16350) $false
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16350) is inconsistent.
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16351) all_12_5 = e0 | all_12_10 = e0 | all_12_17 = e0
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16351) gives:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16352) all_12_5 = e0
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16302), (16352) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16353) e2 = e0
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16353) implies:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16354) e2 = e0
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (16354) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16355) $false
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16355) is inconsistent.
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16356) all_12_10 = e0 | all_12_17 = e0
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16356) gives:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16357) all_12_10 = e0
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (15544), (16357) are inconsistent by
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #326.
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16358) all_12_17 = e0
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16294), (16358) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16359) e3 = e0
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16359) implies:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16360) e3 = e0
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (16360) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16361) $false
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16361) is inconsistent.
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16362) all_12_5 = e1 | all_12_10 = e1 | all_12_17 = e1
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16362) gives:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16363) all_12_5 = e1
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (16302), (16363) are inconsistent by
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #62.
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16364) all_12_10 = e1 | all_12_17 = e1
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16364) gives:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16365) all_12_10 = e1
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (15544), (16365) are inconsistent by
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #61.
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16366) all_12_17 = e1
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16294), (16366) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16367) e3 = e1
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16367) implies:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16368) e3 = e1
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (16368) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16369) $false
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16369) is inconsistent.
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16370) all_10_66 = e1 | all_10_71 = e0
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12), (15543), (16291), (16370) are
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #72.
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16371) all_10_72 = e2 | all_10_73 = e1 | all_10_74 = e0
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (562), (654), (8424), (15637), (16289),
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16371) are inconsistent by sub-proof #117.
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16372) ~ (all_12_12 = e1)
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (446), (16372) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16373) ~ (all_4_9 = e1)
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (399) gives:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16374) all_12_0 = e1
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15585), (16374) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16375) e4 = e1
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (16375) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16376) $false
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16376) is inconsistent.
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16377) all_12_2 = e1 | all_12_6 = e1 | all_12_12 = e1 |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_20 = e1
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (363) gives:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16378) all_12_16 = e1
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (16378) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16379) all_4_17 = e1
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16379) implies:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16380) all_4_17 = e1
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (727), (16380) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16381) ~ (all_4_5 = e1)
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (757), (16380) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16382) ~ (all_4_19 = e1)
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16382) implies:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16383) ~ (all_4_19 = e1)
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (759), (16380) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16384) ~ (all_4_23 = e1)
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16384) implies:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16385) ~ (all_4_23 = e1)
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (760), (16380) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16386) ~ (all_4_24 = e1)
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16386) implies:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16387) ~ (all_4_24 = e1)
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13184) gives:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16388) all_10_71 = e3
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (547), (16388) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16389) all_4_19 = e3
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16389) implies:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16390) all_4_19 = e3
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (470), (16390) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16391) all_12_17 = e3
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (709), (16390) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16392) ~ (all_4_3 = e3)
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (732), (16390) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16393) ~ (all_4_7 = e3)
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (762), (16390) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16394) ~ (all_4_23 = e3)
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16394) implies:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16395) ~ (all_4_23 = e3)
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (763), (16390) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16396) ~ (all_4_24 = e3)
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16396) implies:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16397) ~ (all_4_24 = e3)
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12555), (16390) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16398) ~ (e4 = e3)
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9341) gives:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16399) all_8_24 = e3
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (612), (16399) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16400) all_4_24 = e3
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16397), (16400) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16401) $false
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16401) is inconsistent.
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16402) all_8_24 = e2 | all_8_24 = e1 | all_8_24 = e0
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16402) gives:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16403) all_8_24 = e2
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (612), (16403) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16404) all_4_24 = e2
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (562), (16404) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16405) all_10_74 = e2
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (696), (16404) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16406) ~ (all_4_16 = e2)
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (741), (16404) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16407) ~ (all_4_20 = e2)
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (766), (16404) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16408) ~ (all_4_23 = e2)
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (816), (16404) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16409) op(e0, e2) = all_10_49
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15561) gives:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16410) all_10_56 = e3
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (514), (16392), (16410) are inconsistent by
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #439.
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16411) all_10_61 = e2 | all_10_66 = e1 | all_10_71 = e0
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15534) gives:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16412) all_10_59 = e3
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15625), (16412) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16413) e4 = e3
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (16413) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16414) $false
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16414) is inconsistent.
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16415) ~ (all_10_59 = e3)
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16416) all_10_64 = e2 | all_10_69 = e1 | all_10_74 = e0
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16416) gives:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16417) all_10_64 = e2
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (415), (16407), (16417) are inconsistent by
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #254.
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16418) all_10_69 = e1 | all_10_74 = e0
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16418) gives:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16419) all_10_69 = e1
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (560), (16419) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16420) all_4_22 = e1
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16420) implies:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16421) all_4_22 = e1
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (414), (16421) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16422) all_12_23 = e1
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (752), (16421) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16423) ~ (all_4_14 = e1)
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (754), (16421) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16424) ~ (all_4_15 = e1)
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (695), (16421) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16425) ~ (all_4_16 = e1)
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (740), (16421) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16426) ~ (all_4_20 = e1)
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14778), (16421) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16427) ~ (e4 = e1)
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15564) gives:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16428) all_10_66 = e3
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (15543), (16428) are inconsistent by
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #445.
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16429) all_10_67 = e2 | all_10_68 = e1 | all_10_69 = e0
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16429) gives:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16430) all_10_67 = e2
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (532), (16430) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16431) all_4_14 = e2
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16431) implies:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16432) all_4_14 = e2
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (454), (16432) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16433) all_12_11 = e2
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (16432) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16434) ~ (all_4_4 = e2)
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (713), (16432) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16435) ~ (all_4_6 = e2)
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (735), (16432) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16436) ~ (all_4_8 = e2)
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15661) gives:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16437) all_10_61 = e3
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (518), (16437) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16438) all_4_7 = e3
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16393), (16438) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16439) $false
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16439) is inconsistent.
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16440) all_10_62 = e2 | all_10_63 = e1 | all_10_64 = e0
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16440) gives:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16441) all_10_62 = e2
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (455), (16436), (16441) are inconsistent by
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #365.
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16442) all_10_63 = e1 | all_10_64 = e0
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8423) gives:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16443) all_12_16 = e0
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16378), (16443) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16444) e1 = e0
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16419), (16444) imply:
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16445) all_10_69 = e0
% 180.68/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (562), (8424), (16418), (16445) are
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #180.
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16446) all_12_17 = e0 | all_12_18 = e0 | all_12_19 = e0
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16446) gives:
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16447) all_12_17 = e0
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16391), (16447) imply:
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16448) e3 = e0
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (16448) imply:
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16449) $false
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16449) is inconsistent.
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16450) all_12_18 = e0 | all_12_19 = e0
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16450) gives:
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16451) all_12_18 = e0
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (15638), (16451) are inconsistent by
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #77.
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16452) all_12_19 = e0
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (430), (16452) imply:
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16453) all_4_23 = e0
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16453) implies:
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16454) all_4_23 = e0
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (755), (16454) imply:
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16455) ~ (all_4_15 = e0)
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15640), (16454) imply:
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16456) ~ (e4 = e0)
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16395), (16454) imply:
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16457) ~ (e3 = e0)
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16408), (16454) imply:
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16458) ~ (e2 = e0)
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16385), (16454) imply:
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16459) ~ (e1 = e0)
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16411) gives:
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16460) all_10_61 = e2
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (518), (16460) imply:
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16461) all_4_7 = e2
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (16461) imply:
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16462) all_12_5 = e2
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (679), (16461) imply:
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16463) ~ (all_4_1 = e2)
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (728), (16461) imply:
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16464) ~ (all_4_8 = e2)
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (730), (16461) imply:
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16465) ~ (all_4_20 = e2)
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15547), (16461) imply:
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16466) ~ (e4 = e2)
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (401) gives:
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16467) all_12_0 = e2
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15585), (16467) imply:
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16468) e4 = e2
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13), (16468) imply:
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16469) $false
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16469) is inconsistent.
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16470) all_12_2 = e2 | all_12_6 = e2 | all_12_12 = e2 |
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_20 = e2
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (372) gives:
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16471) all_12_9 = e0
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (16471) imply:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16472) all_4_10 = e0
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16472) implies:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16473) all_4_10 = e0
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (56), (16473) imply:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16474) op(e0, all_4_9) = e1
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (375) gives:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16475) all_12_9 = e3
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16471), (16475) imply:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16476) e3 = e0
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (16476) imply:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16477) $false
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16477) is inconsistent.
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16478) ~ (all_12_9 = e3)
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16479) all_12_10 = e3 | all_12_11 = e3 | all_12_15 = e3 |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_23 = e3
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (383) gives:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16480) all_12_4 = e1
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (16381), (16480) are inconsistent by
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #279.
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16481) all_12_5 = e1 | all_12_8 = e1 | all_12_14 = e1 |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_22 = e1
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16481) gives:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16482) all_12_5 = e1
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (16462), (16482) are inconsistent by
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #62.
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16483) ~ (all_12_5 = e1)
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16484) all_12_8 = e1 | all_12_14 = e1 | all_12_22 = e1
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16484) gives:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16485) all_12_8 = e1
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (664), (16485) imply:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16486) all_4_8 = e1
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (16486) imply:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16487) ~ (all_4_4 = e1)
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (712), (16486) imply:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16488) ~ (all_4_6 = e1)
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (734), (16486) imply:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16489) ~ (all_4_20 = e1)
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16377) gives:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16490) all_12_2 = e1
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (16490) imply:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16491) all_4_1 = e1
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16491) implies:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16492) all_4_1 = e1
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (677), (16492) imply:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16493) ~ (all_4_16 = e1)
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16463), (16492) imply:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16494) ~ (e2 = e1)
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15658) gives:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16495) all_10_57 = e3
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (523), (16495) imply:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16496) all_4_6 = e3
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (684), (16496) imply:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16497) ~ (all_4_4 = e3)
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (361) gives:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16498) all_12_20 = e3
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (16498) imply:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16499) all_4_16 = e3
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16499) implies:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16500) all_4_16 = e3
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (688), (16500) imply:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16501) ~ (all_4_9 = e3)
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (369) gives:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16502) all_12_12 = e2
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (16502) imply:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16503) all_4_9 = e2
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16503) implies:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16504) all_4_9 = e2
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16501), (16504) imply:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16505) ~ (e3 = e2)
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16474), (16504) imply:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16506) op(e0, e2) = e1
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16442) gives:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16507) all_10_63 = e1
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15647), (16507) imply:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16508) e4 = e1
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (16508) imply:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16509) $false
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16509) is inconsistent.
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16510) all_10_64 = e0
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (415), (16510) imply:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16511) all_4_20 = e0
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (781), (16511) imply:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16512) op(e0, e2) = all_10_22
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (16511) imply:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16513) op(e0, e2) = e0
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15579) gives:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_49, e2, e0, simplifying with (16409),
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16506) gives:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16514) all_10_49 = e1
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_49,
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_22, e2, e0, simplifying with (16409),
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16512) gives:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16515) all_10_22 = all_10_49
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_22, e2, e0, simplifying with (16512),
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16513) gives:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16516) all_10_22 = e0
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16515), (16516) imply:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16517) all_10_49 = e0
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16517) implies:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16518) all_10_49 = e0
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (562), (8424), (16418), (16419), (16514),
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16518) are inconsistent by sub-proof #161.
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16519) ~ (all_8_18 = e3)
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10), (14), (600), (660), (15544), (16422),
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16433), (16479), (16519) are inconsistent by
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #58.
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16520) ~ (all_12_12 = e2)
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (446), (16520) imply:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16521) ~ (all_4_9 = e2)
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16470) gives:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16522) all_12_2 = e2
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16490), (16522) imply:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16523) e2 = e1
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (16523) imply:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16524) $false
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16524) is inconsistent.
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16525) all_12_6 = e2 | all_12_12 = e2 | all_12_20 = e2
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (446), (665), (16434), (16498), (16521),
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16525) are inconsistent by sub-proof #514.
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16526) ~ (all_12_20 = e3)
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (657), (16526) imply:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16527) ~ (all_4_16 = e3)
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (403) gives:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16528) all_12_0 = e3
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15585), (16528) imply:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16529) e4 = e3
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (16529) imply:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16530) $false
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16530) is inconsistent.
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16531) ~ (all_12_0 = e3)
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16532) all_12_2 = e3 | all_12_6 = e3 | all_12_12 = e3 |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_20 = e3
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16532) gives:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16533) all_12_2 = e3
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16490), (16533) imply:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16534) e3 = e1
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (16534) imply:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16535) $false
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16535) is inconsistent.
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16536) ~ (all_12_2 = e3)
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16537) all_12_6 = e3 | all_12_12 = e3 | all_12_20 = e3
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16490), (16536) imply:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16538) ~ (e3 = e1)
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15579) gives:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16539) all_8_18 = e3
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (600), (16539) imply:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16540) all_4_15 = e3
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16540) implies:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16541) all_4_15 = e3
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (691), (16541) imply:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16542) ~ (all_4_9 = e3)
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (657), (665), (16497), (16527), (16537),
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16542) are inconsistent by sub-proof #229.
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16543) ~ (all_8_18 = e3)
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10), (14), (600), (660), (15544), (16422),
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16433), (16479), (16543) are inconsistent by
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #58.
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16544) all_10_62 = e2 | all_10_67 = e1 | all_10_72 = e0
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11), (455), (15637), (16430), (16436),
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16544) are inconsistent by sub-proof #101.
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16545) all_12_6 = e1 | all_12_12 = e1 | all_12_20 = e1
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (657), (665), (16373), (16425), (16487),
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16545) are inconsistent by sub-proof #56.
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16546) ~ (all_12_8 = e1)
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (664), (16546) imply:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16547) ~ (all_4_8 = e1)
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16442) gives:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16548) all_10_63 = e1
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (15647), (16548) are inconsistent by
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #673.
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16549) all_10_64 = e0
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16550) ~ (all_10_63 = e1)
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (415), (16549) imply:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16551) all_4_20 = e0
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16551) implies:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16552) all_4_20 = e0
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (734), (16552) imply:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16553) ~ (all_4_8 = e0)
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15658) gives:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16554) all_10_57 = e3
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (523), (16554) imply:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16555) all_4_6 = e3
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (462), (16555) imply:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16556) all_12_7 = e3
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (378) gives:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16557) all_12_6 = e1
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (16557) imply:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16558) all_4_4 = e1
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16558) implies:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16559) all_4_4 = e1
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16434), (16559) imply:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16560) ~ (e2 = e1)
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (377) gives:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16561) all_12_6 = e0
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16557), (16561) imply:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16562) e1 = e0
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (562), (8424), (16418), (16419), (16562) are
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #55.
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16563) all_12_7 = e0 | all_12_8 = e0 | all_12_11 = e0 |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_18 = e0
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (8), (11), (455), (462), (523), (664),
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15637), (15638), (15658), (16430), (16433),
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16436), (16553), (16563) are inconsistent by
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #54.
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16564) all_12_7 = e1 | all_12_8 = e1 | all_12_11 = e1 |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_18 = e1
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (12), (454), (664), (15638), (16423),
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16547), (16556), (16564) are inconsistent by
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #126.
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16565) all_10_62 = e2 | all_10_67 = e1 | all_10_72 = e0
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11), (455), (15637), (16430), (16436),
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16565) are inconsistent by sub-proof #101.
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16566) all_12_10 = e0 | all_12_11 = e0 | all_12_15 = e0 |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_23 = e0
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16566) gives:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16567) all_12_10 = e0
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (15544), (16567) are inconsistent by
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #326.
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16568) all_12_11 = e0 | all_12_15 = e0 | all_12_23 = e0
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16568) gives:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16569) all_12_11 = e0
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (16433), (16569) are inconsistent by
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #78.
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16570) all_12_15 = e0 | all_12_23 = e0
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16570) gives:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16571) all_12_15 = e0
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (660), (16571) imply:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16572) all_4_15 = e0
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16455), (16572) imply:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16573) $false
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16573) is inconsistent.
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16574) all_12_23 = e0
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16422), (16574) imply:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16575) e1 = e0
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (562), (8424), (16418), (16419), (16575) are
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #55.
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16576) all_10_66 = e1 | all_10_71 = e0
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12), (15543), (16388), (16576) are
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #72.
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16577) all_10_68 = e1 | all_10_69 = e0
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (431), (562), (8424), (16418), (16424),
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16577) are inconsistent by sub-proof #179.
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16578) all_10_74 = e0
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (16405), (16578) are inconsistent by
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #262.
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16579) all_8_24 = e1 | all_8_24 = e0
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (612), (8424), (16387), (16579) are inconsistent
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #273.
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16580) all_10_72 = e2 | all_10_73 = e1 | all_10_74 = e0
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (562), (654), (8424), (15637), (16385),
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16580) are inconsistent by sub-proof #117.
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16581) ~ (all_12_16 = e1)
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (659), (16581) imply:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16582) ~ (all_4_17 = e1)
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (403) gives:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16583) all_12_0 = e3
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15585), (16583) imply:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16584) e4 = e3
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (16584) imply:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16585) $false
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16585) is inconsistent.
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16586) ~ (all_12_0 = e3)
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16587) all_12_2 = e3 | all_12_6 = e3 | all_12_12 = e3 |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_20 = e3
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (375) gives:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16588) all_12_9 = e3
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (16588) imply:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16589) all_4_10 = e3
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16589) implies:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16590) all_4_10 = e3
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (746), (16590) imply:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16591) ~ (all_4_17 = e3)
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16591) implies:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16592) ~ (all_4_17 = e3)
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (16590) imply:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16593) op(all_4_9, e3) = e4
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (56), (16590) imply:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16594) op(e3, all_4_9) = e1
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13187) gives:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16595) all_8_4 = e3
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (603), (16592), (16595) are inconsistent by
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #711.
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16596) ~ (all_8_4 = e3)
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16597) all_8_4 = e2 | all_8_4 = e1 | all_8_4 = e0
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16597) gives:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16598) all_8_4 = e2
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (603), (16277), (16598) are inconsistent by
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #710.
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16599) ~ (all_8_4 = e2)
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16600) all_8_4 = e1 | all_8_4 = e0
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16600) gives:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16601) all_8_4 = e1
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (603), (16582), (16601) are inconsistent by
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #214.
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16602) all_8_4 = e0
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (603), (16602) imply:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16603) all_4_17 = e0
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16603) implies:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16604) all_4_17 = e0
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (760), (16604) imply:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16605) ~ (all_4_24 = e0)
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13181), (16604) imply:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16606) ~ (e4 = e0)
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16592), (16604) imply:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16607) ~ (e3 = e0)
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16277), (16604) imply:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16608) ~ (e2 = e0)
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16582), (16604) imply:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16609) ~ (e1 = e0)
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (50), (16604) imply:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16610) op(all_4_16, e0) = e4
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (787), (16604) imply:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16611) op(e0, e0) = all_10_4
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_24,
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_4, e0, e0, simplifying with (17), (16611)
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16612) all_10_4 = all_4_24
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (370) gives:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16613) all_12_12 = e3
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (16613) imply:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16614) all_4_9 = e3
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16593), (16614) imply:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16615) op(e3, e3) = e4
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (15546), (16615), (function-axioms) are
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #704.
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16616) ~ (all_12_12 = e3)
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (446), (16616) imply:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16617) ~ (all_4_9 = e3)
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (361) gives:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16618) all_12_20 = e3
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (16618) imply:
% 181.19/27.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16619) all_4_16 = e3
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16610), (16619) imply:
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16620) op(e3, e0) = e4
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (12555), (16620), (function-axioms) are
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #522.
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16621) ~ (all_12_20 = e3)
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (657), (16621) imply:
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16622) ~ (all_4_16 = e3)
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (380) gives:
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16623) all_12_6 = e3
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (16623) imply:
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16624) all_4_4 = e3
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15591), (16624) imply:
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16625) ~ (e4 = e3)
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (397) gives:
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16626) all_12_0 = e0
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15585), (16626) imply:
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16627) e4 = e0
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (16627) imply:
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16628) $false
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16628) is inconsistent.
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16629) all_12_2 = e0 | all_12_6 = e0 | all_12_12 = e0 |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_20 = e0
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (367) gives:
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16630) all_12_12 = e0
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (16630) imply:
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16631) all_4_9 = e0
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16594), (16631) imply:
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16632) op(e3, e0) = e1
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (13), (32), (547), (562), (654), (762),
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8424), (13184), (15637), (16632),
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #64.
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16633) ~ (all_12_12 = e0)
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (446), (16633) imply:
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16634) ~ (all_4_9 = e0)
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16629) gives:
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16635) all_12_2 = e0
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16377) gives:
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16636) all_12_2 = e1
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (16635), (16636) are inconsistent by
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #425.
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16637) all_12_6 = e1 | all_12_12 = e1 | all_12_20 = e1
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16637) gives:
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16638) all_12_6 = e1
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16623), (16638) imply:
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16639) e3 = e1
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (16639) imply:
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16640) $false
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16640) is inconsistent.
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16641) all_12_12 = e1 | all_12_20 = e1
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14), (415), (446), (455), (514), (518),
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (547), (560), (562), (603), (612), (657), (695),
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (696), (707), (730), (734), (741), (757), (760),
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8424), (9341), (13187), (15531), (15534),
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15543), (15561), (15625), (15647), (15661),
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16277), (16373), (16582), (16641) are
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #52.
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16642) all_12_6 = e0 | all_12_12 = e0 | all_12_20 = e0
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16642) gives:
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16643) all_12_6 = e0
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16623), (16643) imply:
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16644) e3 = e0
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (16644) imply:
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16645) $false
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16645) is inconsistent.
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16646) all_12_12 = e0 | all_12_20 = e0
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16646) gives:
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16647) all_12_12 = e0
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (16647) imply:
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16648) all_4_9 = e0
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16634), (16648) imply:
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16649) $false
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16649) is inconsistent.
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16650) all_12_20 = e0
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (16650) imply:
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16651) all_4_16 = e0
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16610), (16651) imply:
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16652) op(e0, e0) = e4
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (9342), (16652), (function-axioms) are
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #186.
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16653) ~ (all_12_6 = e3)
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (665), (16653) imply:
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16654) ~ (all_4_4 = e3)
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16587) gives:
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16655) all_12_2 = e3
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (16655) imply:
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16656) all_4_1 = e3
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (678), (16656) imply:
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16657) ~ (all_4_3 = e3)
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16657) implies:
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16658) ~ (all_4_3 = e3)
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (679), (16656) imply:
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16659) ~ (all_4_7 = e3)
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16659) implies:
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16660) ~ (all_4_7 = e3)
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (681), (16656) imply:
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16661) ~ (all_4_19 = e3)
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16661) implies:
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16662) ~ (all_4_19 = e3)
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15545), (16656) imply:
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16663) ~ (e4 = e3)
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13184) gives:
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16664) all_10_71 = e3
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (547), (16662), (16664) are inconsistent by
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #96.
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16665) all_10_72 = e2 | all_10_73 = e1 | all_10_74 = e0
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15561) gives:
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16666) all_10_56 = e3
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (514), (16666) imply:
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16667) all_4_3 = e3
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16658), (16667) imply:
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16668) $false
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16668) is inconsistent.
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16669) all_10_61 = e2 | all_10_66 = e1 | all_10_71 = e0
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16669) gives:
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16670) all_10_61 = e2
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (518), (16670) imply:
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16671) all_4_7 = e2
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16671) implies:
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16672) all_4_7 = e2
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (728), (16672) imply:
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16673) ~ (all_4_8 = e2)
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16673) implies:
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16674) ~ (all_4_8 = e2)
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15547), (16672) imply:
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16675) ~ (e4 = e2)
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16660), (16672) imply:
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16676) ~ (e3 = e2)
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15534) gives:
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16677) all_10_59 = e3
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15625), (16677) imply:
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16678) e4 = e3
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (16678) imply:
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16679) $false
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16679) is inconsistent.
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16680) all_10_64 = e2 | all_10_69 = e1 | all_10_74 = e0
% 181.19/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (10), (11), (12), (13), (431), (439),
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (455), (523), (532), (560), (562), (710), (752),
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (754), (8424), (15637), (15647), (15653), (15658),
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15661), (16665), (16670), (16674), (16680) are
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #65.
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16681) all_10_66 = e1 | all_10_71 = e0
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (547), (603), (757), (15543), (16582),
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16600), (16681) are inconsistent by sub-proof
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #53.
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16682) all_12_6 = e3 | all_12_12 = e3 | all_12_20 = e3
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (657), (665), (16617), (16622), (16654),
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16682) are inconsistent by sub-proof #229.
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16683) ~ (all_12_9 = e3)
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (494), (16683) imply:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16684) ~ (all_4_10 = e3)
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (404) gives:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16685) all_12_0 = e3
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15585), (16685) imply:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16686) e4 = e3
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (16686) imply:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16687) $false
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16687) is inconsistent.
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16688) all_12_1 = e3 | all_12_4 = e3 | all_12_9 = e3 |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_16 = e3
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (383) gives:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16689) all_12_4 = e1
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (16689) imply:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16690) all_4_5 = e1
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16690) implies:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16691) all_4_5 = e1
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (701), (16691) imply:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16692) ~ (all_4_2 = e1)
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (727), (16691) imply:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16693) ~ (all_4_17 = e1)
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (16691) imply:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16694) op(all_4_4, e1) = e4
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (61), (16691) imply:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16695) op(e1, all_4_4) = e2
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (378) gives:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16696) all_12_6 = e1
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (665), (15552), (16694), (16696),
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #63.
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16697) ~ (all_12_6 = e1)
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (665), (16697) imply:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16698) ~ (all_4_4 = e1)
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (388) gives:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16699) all_12_2 = e1
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (16699) imply:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16700) all_4_1 = e1
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16700) implies:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16701) all_4_1 = e1
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (678), (16701) imply:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16702) ~ (all_4_3 = e1)
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16702) implies:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16703) ~ (all_4_3 = e1)
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (675), (16701) imply:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16704) ~ (all_4_4 = e1)
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (679), (16701) imply:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16705) ~ (all_4_7 = e1)
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16705) implies:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16706) ~ (all_4_7 = e1)
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15545), (16701) imply:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16707) ~ (e4 = e1)
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (393) gives:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16708) all_12_1 = e1
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (16708) imply:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16709) all_4_2 = e1
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16692), (16709) imply:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16710) $false
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16710) is inconsistent.
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16711) all_12_3 = e1 | all_12_7 = e1 | all_12_13 = e1 |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_21 = e1
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (380) gives:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16712) all_12_6 = e3
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (16712) imply:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16713) all_4_4 = e3
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16713) implies:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16714) all_4_4 = e3
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16695), (16714) imply:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16715) op(e1, e3) = e2
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_11, e2,
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (25), (16715) gives:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16716) all_4_11 = e2
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (16716) imply:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16717) all_10_58 = e2
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (662), (16716) imply:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16718) all_12_13 = e2
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (699), (16716) imply:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16719) ~ (all_4_2 = e2)
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (710), (16716) imply:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16720) ~ (all_4_6 = e2)
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16711) gives:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16721) all_12_3 = e1
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (482), (16721) imply:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16722) all_4_3 = e1
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16722) implies:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16723) all_4_3 = e1
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16703), (16723) imply:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16724) $false
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16724) is inconsistent.
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16725) all_12_7 = e1 | all_12_13 = e1 | all_12_21 = e1
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16725) gives:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16726) all_12_7 = e1
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (462), (16726) imply:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16727) all_4_6 = e1
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16727) implies:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16728) all_4_6 = e1
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (523), (16728) imply:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16729) all_10_57 = e1
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (713), (16728) imply:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16730) ~ (all_4_14 = e1)
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16730) implies:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16731) ~ (all_4_14 = e1)
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16720), (16728) imply:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16732) ~ (e2 = e1)
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (60), (16728) imply:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16733) op(e1, all_4_7) = e3
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15633) gives:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16734) all_10_56 = e3
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (514), (16734) imply:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16735) all_4_3 = e3
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (697), (16735) imply:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16736) ~ (all_4_2 = e3)
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (707), (16735) imply:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16737) ~ (all_4_7 = e3)
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16737) implies:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16738) ~ (all_4_7 = e3)
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (392) gives:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16739) all_12_1 = e0
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (16739) imply:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16740) all_4_2 = e0
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (703), (16740) imply:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16741) ~ (all_4_17 = e0)
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16741) implies:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16742) ~ (all_4_17 = e0)
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15589), (16740) imply:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16743) ~ (e4 = e0)
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13187) gives:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16744) all_8_4 = e3
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (603), (16744) imply:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16745) all_4_17 = e3
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16745) implies:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16746) all_4_17 = e3
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (759), (16746) imply:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16747) ~ (all_4_23 = e3)
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16747) implies:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16748) ~ (all_4_23 = e3)
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15658) gives:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16749) all_10_57 = e3
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (16729), (16749) are inconsistent by
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #128.
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16750) all_10_62 = e2 | all_10_67 = e1 | all_10_72 = e0
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16750) gives:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16751) all_10_62 = e2
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (455), (16751) imply:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16752) all_4_8 = e2
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16752) implies:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16753) all_4_8 = e2
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (728), (16753) imply:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16754) ~ (all_4_7 = e2)
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15571) gives:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16755) all_8_7 = e3
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (586), (16738), (16755) are inconsistent by
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #761.
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16756) all_8_7 = e2 | all_8_7 = e1 | all_8_7 = e0
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16756) gives:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16757) all_8_7 = e2
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (586), (16754), (16757) are inconsistent by
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #760.
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16758) all_8_7 = e1 | all_8_7 = e0
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16758) gives:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16759) all_8_7 = e1
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (586), (16759) imply:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16760) all_4_7 = e1
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16760) implies:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16761) all_4_7 = e1
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16706), (16761) imply:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16762) $false
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16762) is inconsistent.
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16763) all_8_7 = e0
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (586), (16763) imply:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16764) all_4_7 = e0
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16764) implies:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16765) all_4_7 = e0
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16733), (16765) imply:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16766) op(e1, e0) = e3
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (16748), (16766), (function-axioms) are
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #336.
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16767) all_10_67 = e1 | all_10_72 = e0
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (532), (15637), (16731), (16767) are
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #127.
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16768) all_8_4 = e2 | all_8_4 = e1 | all_8_4 = e0
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (603), (16277), (16582), (16742), (16768) are
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #368.
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16769) ~ (all_12_1 = e0)
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (666), (16769) imply:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16770) ~ (all_4_2 = e0)
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (574), (15614), (16692), (16719), (16736), (16770)
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #542.
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16771) all_10_57 = e2 | all_10_58 = e1 | all_10_59 = e0
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16771) gives:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16772) all_10_57 = e2
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16729), (16772) imply:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16773) e2 = e1
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16773) implies:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16774) e2 = e1
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (16774) imply:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16775) $false
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16775) is inconsistent.
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16776) ~ (all_10_57 = e2)
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16777) all_10_58 = e1 | all_10_59 = e0
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11), (15625), (16717), (16777) are
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #51.
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16778) all_12_13 = e1 | all_12_21 = e1
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16778) gives:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16779) all_12_13 = e1
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (16718), (16779) are inconsistent by
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #467.
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16780) all_12_21 = e1
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15626), (16780) imply:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16781) e4 = e1
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16781) implies:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16782) e4 = e1
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (16782) imply:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16783) $false
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16783) is inconsistent.
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16784) ~ (all_12_6 = e3)
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (665), (16784) imply:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16785) ~ (all_4_4 = e3)
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (28), (379), (568), (665), (14778), (15550),
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15611), (16694), (16698), (16785),
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #440.
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16786) ~ (all_12_2 = e1)
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (486), (16786) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16787) ~ (all_4_1 = e1)
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16377) gives:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16788) all_12_2 = e1
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (16787), (16788) are inconsistent by
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #561.
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16789) all_12_6 = e1 | all_12_12 = e1 | all_12_20 = e1
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16789) gives:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16790) all_12_6 = e1
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (665), (16698), (16790) are inconsistent by
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #769.
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16791) all_12_12 = e1 | all_12_20 = e1
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14), (415), (446), (455), (514), (518),
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (547), (560), (562), (603), (612), (657), (695),
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (696), (707), (730), (734), (741), (757), (760),
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8424), (9341), (13187), (15531), (15534),
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15543), (15561), (15625), (15647), (15661),
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16277), (16373), (16582), (16791) are
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #52.
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16792) ~ (all_12_4 = e1)
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (498), (16792) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16793) ~ (all_4_5 = e1)
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15711) gives:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16794) all_12_1 = e1
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (16794) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16795) all_4_2 = e1
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (701), (16795) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16796) ~ (all_4_5 = e1)
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (702), (16795) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16797) ~ (all_4_10 = e1)
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (703), (16795) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16798) ~ (all_4_17 = e1)
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (65), (16795) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16799) op(all_4_1, e1) = e4
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (378) gives:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16800) all_12_6 = e1
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (16800) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16801) all_4_4 = e1
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (16801) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16802) ~ (all_4_14 = e1)
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16802) implies:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16803) ~ (all_4_14 = e1)
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (683), (16801) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16804) ~ (all_4_16 = e1)
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16804) implies:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16805) ~ (all_4_16 = e1)
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (377) gives:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16806) all_12_6 = e0
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16800), (16806) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16807) e1 = e0
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (16807) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16808) $false
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16808) is inconsistent.
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16809) ~ (all_12_6 = e0)
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16810) all_12_7 = e0 | all_12_8 = e0 | all_12_11 = e0 |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_18 = e0
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (398) gives:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16811) all_12_0 = e0
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15585), (16811) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16812) e4 = e0
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (16812) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16813) $false
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16813) is inconsistent.
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16814) ~ (all_12_0 = e0)
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16815) all_12_1 = e0 | all_12_4 = e0 | all_12_9 = e0 |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_16 = e0
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (360) gives:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16816) all_12_20 = e2
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (16816) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16817) all_4_16 = e2
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (694), (16817) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16818) ~ (all_4_20 = e2)
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16818) implies:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16819) ~ (all_4_20 = e2)
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (696), (16817) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16820) ~ (all_4_24 = e2)
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16820) implies:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16821) ~ (all_4_24 = e2)
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15534) gives:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16822) all_10_59 = e3
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15625), (16822) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16823) e4 = e3
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (16823) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16824) $false
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16824) is inconsistent.
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16825) ~ (all_10_59 = e3)
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16826) all_10_64 = e2 | all_10_69 = e1 | all_10_74 = e0
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16826) gives:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16827) all_10_64 = e2
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (415), (16819), (16827) are inconsistent by
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #254.
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16828) ~ (all_10_64 = e2)
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16829) all_10_69 = e1 | all_10_74 = e0
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16829) gives:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16830) all_10_69 = e1
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (560), (16830) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16831) all_4_22 = e1
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16831) implies:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16832) all_4_22 = e1
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (414), (16832) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16833) all_12_23 = e1
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (754), (16832) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16834) ~ (all_4_15 = e1)
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (756), (16832) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16835) ~ (all_4_24 = e1)
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16835) implies:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16836) ~ (all_4_24 = e1)
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15564) gives:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16837) all_10_66 = e3
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (15543), (16837) are inconsistent by
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #445.
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16838) all_10_67 = e2 | all_10_68 = e1 | all_10_69 = e0
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16838) gives:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16839) all_10_67 = e2
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (532), (16839) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16840) all_4_14 = e2
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16840) implies:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16841) all_4_14 = e2
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (454), (16841) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16842) all_12_11 = e2
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (735), (16841) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16843) ~ (all_4_8 = e2)
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9341) gives:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16844) all_8_24 = e3
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (612), (16844) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16845) all_4_24 = e3
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (741), (16845) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16846) ~ (all_4_20 = e3)
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8422) gives:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16847) all_12_20 = e0
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16816), (16847) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16848) e2 = e0
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (16848) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16849) $false
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16849) is inconsistent.
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16850) all_12_21 = e0 | all_12_22 = e0 | all_12_23 = e0
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16850) gives:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16851) all_12_21 = e0
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15626), (16851) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16852) e4 = e0
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (16852) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16853) $false
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16853) is inconsistent.
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16854) all_12_22 = e0 | all_12_23 = e0
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16854) gives:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16855) all_12_22 = e0
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (655), (16855) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16856) all_4_20 = e0
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (734), (16856) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16857) ~ (all_4_8 = e0)
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15650), (16856) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16858) ~ (e4 = e0)
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16846), (16856) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16859) ~ (e3 = e0)
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16819), (16856) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16860) ~ (e2 = e0)
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (8), (11), (455), (462), (523), (664),
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15637), (15638), (15658), (16810), (16839),
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16842), (16843), (16857) are inconsistent by
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #54.
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16861) all_12_23 = e0
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (562), (8424), (16829), (16830), (16833),
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16861) are inconsistent by sub-proof #160.
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16862) all_8_24 = e2 | all_8_24 = e1 | all_8_24 = e0
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (612), (8424), (16821), (16836), (16862) are
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #272.
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16863) all_10_68 = e1 | all_10_69 = e0
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (431), (562), (8424), (16829), (16834),
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16863) are inconsistent by sub-proof #179.
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16864) all_10_74 = e0
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (562), (8424), (16864) are inconsistent by
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #276.
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16865) ~ (all_12_20 = e2)
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (657), (16865) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16866) ~ (all_4_16 = e2)
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (361) gives:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16867) all_12_20 = e3
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (16867) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16868) all_4_16 = e3
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (50), (16868) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16869) op(e3, all_4_17) = e4
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (385) gives:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16870) all_12_4 = e3
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (16870) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16871) all_4_5 = e3
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16282) gives:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16872) all_12_1 = e2
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (16794), (16872) are inconsistent by
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #50.
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16873) all_12_4 = e2 | all_12_9 = e2 | all_12_16 = e2
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16873) gives:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16874) all_12_4 = e2
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16870), (16874) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16875) e3 = e2
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (16875) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16876) $false
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16876) is inconsistent.
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16877) all_12_9 = e2 | all_12_16 = e2
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16877) gives:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16878) all_12_9 = e2
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (16878) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16879) all_4_10 = e2
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16815) gives:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16880) all_12_1 = e0
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16794), (16880) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16881) e1 = e0
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (16881) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16882) $false
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16882) is inconsistent.
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16883) all_12_4 = e0 | all_12_9 = e0 | all_12_16 = e0
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (32), (659), (12555), (16869), (16870),
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16878), (16883), (function-axioms) are
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #521.
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16884) all_12_16 = e2
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (16884) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16885) all_4_17 = e2
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16277), (16885) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16886) $false
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16886) is inconsistent.
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16887) ~ (all_12_4 = e3)
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (498), (16887) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16888) ~ (all_4_5 = e3)
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16688) gives:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16889) all_12_1 = e3
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (16794), (16889) are inconsistent by
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #97.
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16890) all_12_4 = e3 | all_12_9 = e3 | all_12_16 = e3
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (494), (498), (659), (15546), (16684),
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16869), (16888), (16890), (function-axioms) are
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #49.
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16891) ~ (all_12_20 = e3)
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (657), (16891) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16892) ~ (all_4_16 = e3)
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15539) gives:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16893) all_8_20 = e3
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (572), (16893) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16894) all_4_16 = e3
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16892), (16894) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16895) $false
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16895) is inconsistent.
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16896) all_8_20 = e2 | all_8_20 = e1 | all_8_20 = e0
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16896) gives:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16897) all_8_20 = e2
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (572), (16897) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16898) all_4_16 = e2
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16866), (16898) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16899) $false
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16899) is inconsistent.
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16900) ~ (all_8_20 = e2)
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16901) all_8_20 = e1 | all_8_20 = e0
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16901) gives:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16902) all_8_20 = e1
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (572), (16902) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16903) all_4_16 = e1
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16805), (16903) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16904) $false
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16904) is inconsistent.
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16905) all_8_20 = e0
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (572), (16905) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16906) all_4_16 = e0
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (695), (16906) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16907) ~ (all_4_22 = e0)
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16907) implies:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16908) ~ (all_4_22 = e0)
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (696), (16906) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16909) ~ (all_4_24 = e0)
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16866), (16906) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16910) ~ (e2 = e0)
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16805), (16906) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16911) ~ (e1 = e0)
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (50), (16906) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16912) op(e0, all_4_17) = e4
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (812), (16906) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16913) op(e0, e0) = all_10_45
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_24,
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_45, e0, e0, simplifying with (17), (16913)
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16914) all_10_45 = all_4_24
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (382) gives:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16915) all_12_4 = e0
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (16915) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16916) all_4_5 = e0
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (727), (16916) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16917) ~ (all_4_17 = e0)
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16917) implies:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16918) ~ (all_4_17 = e0)
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16282) gives:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16919) all_12_1 = e2
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (16794), (16919) are inconsistent by
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #50.
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16920) all_12_4 = e2 | all_12_9 = e2 | all_12_16 = e2
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16920) gives:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16921) all_12_4 = e2
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (16915), (16921) are inconsistent by
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #150.
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16922) all_12_9 = e2 | all_12_16 = e2
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16922) gives:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16923) all_12_9 = e2
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (16923) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16924) all_4_10 = e2
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (16924) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16925) ~ (all_4_14 = e2)
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16925) implies:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16926) ~ (all_4_14 = e2)
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (746), (16924) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16927) ~ (all_4_17 = e2)
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15548), (16924) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16928) ~ (e4 = e2)
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13187) gives:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16929) all_8_4 = e3
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (603), (16929) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16930) all_4_17 = e3
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16930) implies:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16931) all_4_17 = e3
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (757), (16931) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16932) ~ (all_4_19 = e3)
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16932) implies:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16933) ~ (all_4_19 = e3)
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13181), (16931) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16934) ~ (e4 = e3)
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (14), (431), (532), (547), (560), (562),
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (654), (755), (8424), (13184), (15543), (15564),
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15637), (16908), (16926), (16933) are
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #69.
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16935) all_8_4 = e2 | all_8_4 = e1 | all_8_4 = e0
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (603), (16277), (16582), (16918), (16935) are
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #368.
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16936) all_12_16 = e2
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (16936) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16937) all_4_17 = e2
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16277), (16937) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16938) $false
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16938) is inconsistent.
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16939) ~ (all_12_4 = e0)
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (498), (16939) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16940) ~ (all_4_5 = e0)
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (372) gives:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16941) all_12_9 = e0
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (16941) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16942) all_4_10 = e0
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (746), (16942) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16943) ~ (all_4_17 = e0)
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16943) implies:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16944) ~ (all_4_17 = e0)
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15548), (16942) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16945) ~ (e4 = e0)
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13187) gives:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16946) all_8_4 = e3
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (603), (16946) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16947) all_4_17 = e3
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (727), (16947) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16948) ~ (all_4_5 = e3)
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (757), (16947) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16949) ~ (all_4_19 = e3)
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16949) implies:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16950) ~ (all_4_19 = e3)
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15605) gives:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16951) all_8_2 = e3
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (16948), (16951) are inconsistent by
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #753.
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16952) all_8_2 = e2 | all_8_2 = e1 | all_8_2 = e0
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16952) gives:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16953) all_8_2 = e2
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (583), (16953) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16954) all_4_5 = e2
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16954) implies:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16955) all_4_5 = e2
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (723), (16955) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16956) ~ (all_4_8 = e2)
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16956) implies:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16957) ~ (all_4_8 = e2)
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15593), (16955) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16958) ~ (e4 = e2)
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13184) gives:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16959) all_10_71 = e3
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (547), (16950), (16959) are inconsistent by
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #96.
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16960) all_10_72 = e2 | all_10_73 = e1 | all_10_74 = e0
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16960) gives:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16961) all_10_72 = e2
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (15637), (16961) are inconsistent by
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #118.
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16962) ~ (all_10_72 = e2)
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16963) all_10_73 = e1 | all_10_74 = e0
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16963) gives:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16964) all_10_73 = e1
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (654), (16964) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16965) all_4_23 = e1
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16965) implies:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16966) all_4_23 = e1
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (755), (16966) imply:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16967) ~ (all_4_15 = e1)
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11), (13), (431), (439), (455), (523),
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (532), (562), (710), (8424), (15637), (15647),
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15653), (15658), (16803), (16957), (16960),
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16967) are inconsistent by sub-proof #66.
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16968) all_10_74 = e0
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (562), (8424), (16968) are inconsistent by
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #276.
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16969) all_8_2 = e1 | all_8_2 = e0
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (16793), (16940), (16969) are inconsistent
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #257.
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16970) all_8_4 = e2 | all_8_4 = e1 | all_8_4 = e0
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (603), (16277), (16582), (16944), (16970) are
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #368.
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16971) ~ (all_12_9 = e0)
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (494), (16971) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16972) ~ (all_4_10 = e0)
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15566) gives:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16973) all_8_3 = e3
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (594), (16684), (16973) are inconsistent by
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #735.
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16974) all_8_3 = e2 | all_8_3 = e1 | all_8_3 = e0
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16974) gives:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16975) all_8_3 = e2
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (594), (16975) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16976) all_4_10 = e2
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16976) implies:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16977) all_4_10 = e2
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (16977) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16978) all_12_9 = e2
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (726), (16977) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16979) ~ (all_4_5 = e2)
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16815) gives:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16980) all_12_1 = e0
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16794), (16980) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16981) e1 = e0
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (16981) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16982) $false
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16982) is inconsistent.
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16983) all_12_4 = e0 | all_12_9 = e0 | all_12_16 = e0
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15605) gives:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16984) all_8_2 = e3
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (583), (16984) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16985) all_4_5 = e3
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16985) implies:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16986) all_4_5 = e3
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (16986) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16987) all_12_4 = e3
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16983) gives:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16988) all_12_4 = e0
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16987), (16988) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16989) e3 = e0
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (16989) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16990) $false
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16990) is inconsistent.
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16991) all_12_9 = e0 | all_12_16 = e0
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16991) gives:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16992) all_12_9 = e0
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16978), (16992) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16993) e2 = e0
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (16993) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16994) $false
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16994) is inconsistent.
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16995) all_12_16 = e0
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (16995) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16996) all_4_17 = e0
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16912), (16996) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16997) op(e0, e0) = e4
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (9342), (16997), (function-axioms) are
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #186.
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16998) all_8_2 = e2 | all_8_2 = e1 | all_8_2 = e0
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (16793), (16940), (16979), (16998) are
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #749.
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16999) all_8_3 = e1 | all_8_3 = e0
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (594), (15706), (16972), (16999) are inconsistent
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #741.
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17000) ~ (all_12_6 = e1)
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (665), (17000) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17001) ~ (all_4_4 = e1)
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (388) gives:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17002) all_12_2 = e1
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (17002) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17003) all_4_1 = e1
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16799), (17003) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17004) op(e1, e1) = e4
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (15552), (17004), (function-axioms) are
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #705.
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17005) ~ (all_12_2 = e1)
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (486), (17005) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17006) ~ (all_4_1 = e1)
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16377) gives:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17007) all_12_2 = e1
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (17007) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17008) all_4_1 = e1
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17006), (17008) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17009) $false
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17009) is inconsistent.
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17010) all_12_6 = e1 | all_12_12 = e1 | all_12_20 = e1
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17010) gives:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17011) all_12_6 = e1
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (17011) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17012) all_4_4 = e1
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17001), (17012) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17013) $false
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17013) is inconsistent.
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17014) all_12_12 = e1 | all_12_20 = e1
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17014) gives:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17015) all_12_12 = e1
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (17015) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17016) all_4_9 = e1
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16373), (17016) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17017) $false
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17017) is inconsistent.
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17018) all_12_20 = e1
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (17018) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17019) all_4_16 = e1
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (695), (17019) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17020) ~ (all_4_22 = e1)
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17020) implies:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17021) ~ (all_4_22 = e1)
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (696), (17019) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17022) ~ (all_4_24 = e1)
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17022) implies:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17023) ~ (all_4_24 = e1)
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15531), (17019) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17024) ~ (e4 = e1)
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15534) gives:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17025) all_10_59 = e3
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15625), (17025) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17026) e4 = e3
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (17026) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17027) $false
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17027) is inconsistent.
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17028) all_10_64 = e2 | all_10_69 = e1 | all_10_74 = e0
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17028) gives:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17029) all_10_64 = e2
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (415), (17029) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17030) all_4_20 = e2
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17030) implies:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17031) all_4_20 = e2
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (725), (17031) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17032) ~ (all_4_5 = e2)
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (734), (17031) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17033) ~ (all_4_8 = e2)
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (741), (17031) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17034) ~ (all_4_24 = e2)
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17034) implies:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17035) ~ (all_4_24 = e2)
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15661) gives:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17036) all_10_61 = e3
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (518), (17036) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17037) all_4_7 = e3
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (722), (17037) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17038) ~ (all_4_5 = e3)
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9341) gives:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17039) all_8_24 = e3
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (612), (17039) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17040) all_4_24 = e3
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17040) implies:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17041) all_4_24 = e3
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (760), (17041) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17042) ~ (all_4_17 = e3)
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15605) gives:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17043) all_8_2 = e3
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (17038), (17043) are inconsistent by
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #753.
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17044) all_8_2 = e2 | all_8_2 = e1 | all_8_2 = e0
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17044) gives:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17045) all_8_2 = e2
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (17032), (17045) are inconsistent by
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #752.
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17046) all_8_2 = e1 | all_8_2 = e0
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (603), (727), (13187), (16277), (16582),
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16793), (17042), (17046) are inconsistent by
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #213.
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17047) all_8_24 = e2 | all_8_24 = e1 | all_8_24 = e0
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (612), (8424), (17023), (17035), (17047) are
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #272.
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17048) all_10_62 = e2 | all_10_63 = e1 | all_10_64 = e0
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12), (455), (15647), (17029), (17033),
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17048) are inconsistent by sub-proof #225.
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17049) all_10_69 = e1 | all_10_74 = e0
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (560), (562), (8424), (17021), (17049) are
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #194.
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17050) all_12_4 = e1 | all_12_9 = e1 | all_12_16 = e1
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17050) gives:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17051) all_12_4 = e1
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (16793), (17051) are inconsistent by
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #279.
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17052) all_12_9 = e1 | all_12_16 = e1
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (494), (659), (15706), (16582), (17052) are
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #202.
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17053) all_12_15 = e4 | all_12_19 = e4
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (430), (660), (15552), (15640), (17053) are
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #359.
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17054) ~ (all_8_14 = e4)
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (607), (17054) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17055) ~ (all_4_21 = e4)
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (58), (454), (462), (658), (664), (15550),
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15599), (15618), (15627), (17055),
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #770.
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17056) ~ (all_8_21 = e4)
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (582), (17056) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17057) ~ (all_4_18 = e4)
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15530) gives:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17058) all_12_21 = e4
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (656), (17057), (17058) are inconsistent by
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #592.
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17059) all_12_22 = e4 | all_12_23 = e4 | all_12_24 = e4
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17059) gives:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17060) all_12_22 = e4
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (655), (17060) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17061) all_4_20 = e4
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17061) implies:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17062) all_4_20 = e4
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (415), (17062) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17063) all_10_64 = e4
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (734), (17062) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17064) ~ (all_4_8 = e4)
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (737), (17062) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17065) ~ (all_4_13 = e4)
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (17062) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17066) op(all_4_21, e4) = e0
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (17062) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17067) op(e0, e2) = e4
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (322) gives:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17068) all_10_60 = e4
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (516), (15593), (17068) are inconsistent by
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #685.
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17069) ~ (all_10_60 = e4)
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17070) all_10_61 = e3 | all_10_62 = e2 | all_10_63 = e1 |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_64 = e0
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17071) all_8_17 = e4
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (590), (17071) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17072) all_4_13 = e4
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17065), (17072) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17073) $false
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17073) is inconsistent.
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17074) ~ (all_8_17 = e4)
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17075) all_8_17 = e3 | all_8_17 = e2 | all_8_17 = e1 |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_17 = e0
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17076) all_8_12 = e4
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (588), (17064), (17076) are inconsistent by
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #352.
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17077) ~ (all_8_12 = e4)
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17078) all_8_12 = e3 | all_8_12 = e2 | all_8_12 = e1 |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_12 = e0
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17079) all_8_14 = e4
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (607), (17079) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17080) all_4_21 = e4
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17080) implies:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17081) all_4_21 = e4
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (17081) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17082) ~ (all_4_6 = e4)
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17066), (17081) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17083) op(e4, e4) = e0
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15622) gives:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17084) all_12_3 = e4
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (482), (17084) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17085) all_4_3 = e4
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15546), (17085) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17086) $false
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17086) is inconsistent.
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17087) all_12_7 = e4 | all_12_13 = e4 | all_12_21 = e4
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17087) gives:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17088) all_12_7 = e4
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (462), (17088) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17089) all_4_6 = e4
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17082), (17089) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17090) $false
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17090) is inconsistent.
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17091) all_12_13 = e4 | all_12_21 = e4
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17091) gives:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17092) all_12_13 = e4
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (662), (17092) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17093) all_4_11 = e4
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17093) implies:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17094) all_4_11 = e4
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15555), (17094) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17095) op(e4, e4) = e1
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (41), (17083), (17095), (function-axioms) are
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #632.
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17096) all_12_21 = e4
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (656), (17057), (17096) are inconsistent by
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #592.
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17097) ~ (all_8_14 = e4)
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (607), (17097) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17098) ~ (all_4_21 = e4)
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15618) gives:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17099) all_12_7 = e4
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (462), (17099) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17100) all_4_6 = e4
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (523), (17100) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17101) all_10_57 = e4
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (712), (17100) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17102) ~ (all_4_8 = e4)
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (710), (17100) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17103) ~ (all_4_11 = e4)
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17103) implies:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17104) ~ (all_4_11 = e4)
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (711), (17100) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17105) ~ (all_4_18 = e4)
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (60), (17100) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17106) op(e4, all_4_7) = e3
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (30), (17100) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17107) op(e2, e3) = e4
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15616) gives:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17108) all_12_13 = e4
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (662), (17104), (17108) are inconsistent by
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #604.
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17109) all_12_14 = e4 | all_12_15 = e4 | all_12_19 = e4
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17109) gives:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17110) all_12_14 = e4
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (661), (17065), (17110) are inconsistent by
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #603.
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17111) all_12_15 = e4 | all_12_19 = e4
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17111) gives:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17112) all_12_15 = e4
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (660), (17112) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17113) all_4_15 = e4
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15552), (17113) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17114) $false
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17114) is inconsistent.
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17115) all_12_19 = e4
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (430), (17115) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17116) all_4_23 = e4
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17116) implies:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17117) all_4_23 = e4
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (654), (17117) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17118) all_10_73 = e4
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (766), (17117) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17119) ~ (all_4_24 = e4)
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (22), (17117) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17120) op(e1, e0) = e4
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (326) gives:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17121) all_10_52 = e4
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (463), (17121) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17122) all_4_4 = e4
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15591), (17122) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17123) $false
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17123) is inconsistent.
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17124) ~ (all_10_52 = e4)
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17125) all_10_57 = e3 | all_10_62 = e2 | all_10_67 = e1 |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_72 = e0
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (323) gives:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17126) all_10_55 = e4
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (500), (15589), (17126) are inconsistent by
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #415.
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17127) ~ (all_10_55 = e4)
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17128) all_10_56 = e3 | all_10_57 = e2 | all_10_58 = e1 |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_59 = e0
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (325) gives:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17129) all_10_53 = e4
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (534), (15595), (17129) are inconsistent by
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #779.
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17130) ~ (all_10_53 = e4)
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17131) all_10_58 = e3 | all_10_63 = e2 | all_10_68 = e1 |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_73 = e0
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17132) all_8_16 = e4
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (580), (17132) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17133) all_4_11 = e4
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17104), (17133) imply:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17134) $false
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17134) is inconsistent.
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17135) ~ (all_8_16 = e4)
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17136) all_8_16 = e3 | all_8_16 = e2 | all_8_16 = e1 |
% 181.40/27.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_16 = e0
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (383) gives:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17137) all_12_4 = e1
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (17137) imply:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17138) all_4_5 = e1
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17138) implies:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17139) all_4_5 = e1
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (701), (17139) imply:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17140) ~ (all_4_2 = e1)
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (722), (17139) imply:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17141) ~ (all_4_7 = e1)
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17141) implies:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17142) ~ (all_4_7 = e1)
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (723), (17139) imply:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17143) ~ (all_4_8 = e1)
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17143) implies:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17144) ~ (all_4_8 = e1)
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (726), (17139) imply:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17145) ~ (all_4_10 = e1)
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17145) implies:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17146) ~ (all_4_10 = e1)
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (724), (17139) imply:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17147) ~ (all_4_13 = e1)
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17147) implies:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17148) ~ (all_4_13 = e1)
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (727), (17139) imply:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17149) ~ (all_4_17 = e1)
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17149) implies:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17150) ~ (all_4_17 = e1)
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15593), (17139) imply:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17151) ~ (e4 = e1)
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (17139) imply:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17152) op(all_4_4, e1) = e4
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (61), (17139) imply:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17153) op(e1, all_4_4) = e2
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (777), (17139) imply:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17154) op(e1, e2) = all_10_2
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_13,
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_2, e2, e1, simplifying with (24), (17154)
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17155) all_10_2 = all_4_13
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (388) gives:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17156) all_12_2 = e1
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (17156) imply:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17157) all_4_1 = e1
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17157) implies:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17158) all_4_1 = e1
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (678), (17158) imply:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17159) ~ (all_4_3 = e1)
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17159) implies:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17160) ~ (all_4_3 = e1)
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (675), (17158) imply:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17161) ~ (all_4_4 = e1)
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17161) implies:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17162) ~ (all_4_4 = e1)
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (676), (17158) imply:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17163) ~ (all_4_9 = e1)
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17163) implies:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17164) ~ (all_4_9 = e1)
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (677), (17158) imply:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17165) ~ (all_4_16 = e1)
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17165) implies:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17166) ~ (all_4_16 = e1)
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (681), (17158) imply:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17167) ~ (all_4_19 = e1)
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17167) implies:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17168) ~ (all_4_19 = e1)
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (65), (17158) imply:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17169) op(e1, all_4_2) = e4
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (378) gives:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17170) all_12_6 = e1
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (665), (17162), (17170) are inconsistent by
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #769.
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17171) ~ (all_12_6 = e1)
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17172) all_12_7 = e1 | all_12_8 = e1 | all_12_11 = e1 |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_18 = e1
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (363) gives:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17173) all_12_16 = e1
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (659), (17150), (17173) are inconsistent by
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #203.
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17174) all_12_17 = e1 | all_12_18 = e1 | all_12_19 = e1 |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_24 = e1
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (359) gives:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17175) all_12_20 = e1
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (657), (17166), (17175) are inconsistent by
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #250.
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17176) ~ (all_12_20 = e1)
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17177) all_12_21 = e1 | all_12_22 = e1 | all_12_23 = e1 |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_24 = e1
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (402) gives:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17178) all_12_0 = e2
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15585), (17178) imply:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17179) e4 = e2
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13), (17179) imply:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17180) $false
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17180) is inconsistent.
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17181) ~ (all_12_0 = e2)
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17182) all_12_1 = e2 | all_12_4 = e2 | all_12_9 = e2 |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_16 = e2
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (390) gives:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17183) all_12_2 = e3
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17156), (17183) imply:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17184) e3 = e1
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (17184) imply:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17185) $false
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17185) is inconsistent.
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17186) ~ (all_12_2 = e3)
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17187) all_12_3 = e3 | all_12_5 = e3 | all_12_10 = e3 |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_17 = e3
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17156), (17186) imply:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17188) ~ (e3 = e1)
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (385) gives:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17189) all_12_4 = e3
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17137), (17189) imply:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17190) e3 = e1
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (17190) imply:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17191) $false
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17191) is inconsistent.
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17192) ~ (all_12_4 = e3)
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17193) all_12_5 = e3 | all_12_8 = e3 | all_12_14 = e3 |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_22 = e3
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (404) gives:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17194) all_12_0 = e3
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15585), (17194) imply:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17195) e4 = e3
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (17195) imply:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17196) $false
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17196) is inconsistent.
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17197) all_12_1 = e3 | all_12_4 = e3 | all_12_9 = e3 |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_16 = e3
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (382) gives:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17198) all_12_4 = e0
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (17137), (17198) are inconsistent by
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #325.
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17199) all_12_5 = e0 | all_12_8 = e0 | all_12_14 = e0 |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_22 = e0
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (398) gives:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17200) all_12_0 = e0
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15585), (17200) imply:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17201) e4 = e0
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (17201) imply:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17202) $false
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17202) is inconsistent.
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17203) ~ (all_12_0 = e0)
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17204) all_12_1 = e0 | all_12_4 = e0 | all_12_9 = e0 |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_16 = e0
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (369) gives:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17205) all_12_12 = e2
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (17205) imply:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17206) all_4_9 = e2
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17206) implies:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17207) all_4_9 = e2
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (17207) imply:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17208) op(e2, all_4_10) = e4
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (807), (17207) imply:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17209) op(e1, e2) = all_10_40
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_13,
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_40, e2, e1, simplifying with (24), (17209)
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17210) all_10_40 = all_4_13
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (394) gives:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17211) all_12_1 = e2
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (17211) imply:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17212) all_4_2 = e2
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17169), (17212) imply:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17213) op(e1, e2) = e4
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (17065), (17213), (function-axioms) are
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #693.
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17214) ~ (all_12_1 = e2)
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (666), (17214) imply:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17215) ~ (all_4_2 = e2)
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (374) gives:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17216) all_12_9 = e2
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (17216) imply:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17217) all_4_10 = e2
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17208), (17217) imply:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17218) op(e2, e2) = e4
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (17064), (17218), (function-axioms) are
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #736.
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17219) ~ (all_12_9 = e2)
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (494), (17219) imply:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17220) ~ (all_4_10 = e2)
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17182) gives:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17221) all_12_1 = e2
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (17221) imply:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17222) all_4_2 = e2
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17215), (17222) imply:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17223) $false
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17223) is inconsistent.
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17224) all_12_4 = e2 | all_12_9 = e2 | all_12_16 = e2
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17224) gives:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17225) all_12_4 = e2
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (17137), (17225) are inconsistent by
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #152.
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17226) all_12_9 = e2 | all_12_16 = e2
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17226) gives:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17227) all_12_9 = e2
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (17227) imply:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17228) all_4_10 = e2
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17220), (17228) imply:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17229) $false
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17229) is inconsistent.
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17230) all_12_16 = e2
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (17230) imply:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17231) all_4_17 = e2
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (757), (17231) imply:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17232) ~ (all_4_19 = e2)
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17232) implies:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17233) ~ (all_4_19 = e2)
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (758), (17231) imply:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17234) ~ (all_4_21 = e2)
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17234) implies:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17235) ~ (all_4_21 = e2)
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13184) gives:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17236) all_10_71 = e3
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (547), (17236) imply:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17237) all_4_19 = e3
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17237) implies:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17238) all_4_19 = e3
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (470), (17238) imply:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17239) all_12_17 = e3
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (732), (17238) imply:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17240) ~ (all_4_7 = e3)
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12555), (17238) imply:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17241) ~ (e4 = e3)
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8423) gives:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17242) all_12_16 = e0
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17230), (17242) imply:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17243) e2 = e0
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (17243) imply:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17244) $false
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17244) is inconsistent.
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17245) all_12_17 = e0 | all_12_18 = e0 | all_12_19 = e0
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17245) gives:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17246) all_12_17 = e0
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17239), (17246) imply:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17247) e3 = e0
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (17247) imply:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17248) $false
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17248) is inconsistent.
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17249) all_12_18 = e0 | all_12_19 = e0
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17070) gives:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17250) all_10_61 = e3
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (518), (17250) imply:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17251) all_4_7 = e3
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17240), (17251) imply:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17252) $false
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17252) is inconsistent.
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17253) ~ (all_10_61 = e3)
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17254) all_10_62 = e2 | all_10_63 = e1 | all_10_64 = e0
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17249) gives:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17255) all_12_18 = e0
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (658), (17255) imply:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17256) all_4_21 = e0
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (687), (17256) imply:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17257) ~ (all_4_4 = e0)
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (753), (17256) imply:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17258) ~ (all_4_14 = e0)
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17098), (17256) imply:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17259) ~ (e4 = e0)
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17254) gives:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17260) all_10_62 = e2
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (455), (17260) imply:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17261) all_4_8 = e2
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (664), (17261) imply:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17262) all_12_8 = e2
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (17261) imply:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17263) ~ (all_4_4 = e2)
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (735), (17261) imply:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17264) ~ (all_4_14 = e2)
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17264) implies:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17265) ~ (all_4_14 = e2)
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17193) gives:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17266) all_12_5 = e3
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (17266) imply:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17267) all_4_7 = e3
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17240), (17267) imply:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17268) $false
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17268) is inconsistent.
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17269) all_12_8 = e3 | all_12_14 = e3 | all_12_22 = e3
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17269) gives:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17270) all_12_8 = e3
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (17262), (17270) are inconsistent by
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #679.
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17271) all_12_14 = e3 | all_12_22 = e3
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (14), (431), (435), (439), (568), (598),
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (661), (686), (716), (751), (15584), (15591),
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15611), (17060), (17118), (17131), (17162),
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17257), (17258), (17263), (17265), (17271) are
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #317.
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17272) all_10_63 = e1 | all_10_64 = e0
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (435), (17063), (17148), (17272) are
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #323.
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17273) all_12_19 = e0
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17115), (17273) imply:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17274) e4 = e0
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (17274) imply:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17275) $false
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17275) is inconsistent.
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17276) all_10_72 = e2 | all_10_73 = e1 | all_10_74 = e0
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (448), (562), (8424), (17118), (17235),
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17276) are inconsistent by sub-proof #48.
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17277) ~ (all_12_12 = e2)
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (446), (17277) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17278) ~ (all_4_9 = e2)
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (370) gives:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17279) all_12_12 = e3
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (17279) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17280) all_4_9 = e3
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17280) implies:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17281) all_4_9 = e3
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (682), (17281) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17282) ~ (all_4_4 = e3)
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (689), (17281) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17283) ~ (all_4_11 = e3)
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17283) implies:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17284) ~ (all_4_11 = e3)
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (691), (17281) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17285) ~ (all_4_15 = e3)
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17285) implies:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17286) ~ (all_4_15 = e3)
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (17281) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17287) op(e3, all_4_10) = e4
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (395) gives:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17288) all_12_1 = e3
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (17288) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17289) all_4_2 = e3
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (702), (17289) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17290) ~ (all_4_10 = e3)
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17290) implies:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17291) ~ (all_4_10 = e3)
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (700), (17289) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17292) ~ (all_4_18 = e3)
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17292) implies:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17293) ~ (all_4_18 = e3)
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15589), (17289) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17294) ~ (e4 = e3)
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11), (13), (14), (52), (374), (375), (414),
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (420), (431), (435), (439), (454), (494), (560),
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (562), (594), (600), (660), (738), (743), (744),
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (745), (751), (754), (8424), (14778), (15534),
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15544), (15566), (15579), (17063), (17118),
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17131), (17284), (17286), (17287), (17291),
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17293), (function-axioms) are inconsistent by
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #44.
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17295) ~ (all_12_1 = e3)
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (666), (17295) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17296) ~ (all_4_2 = e3)
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (375) gives:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17297) all_12_9 = e3
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (17297) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17298) all_4_10 = e3
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17287), (17298) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17299) op(e3, e3) = e4
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (15546), (17299), (function-axioms) are
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #704.
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17300) ~ (all_12_9 = e3)
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (494), (17300) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17301) ~ (all_4_10 = e3)
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17197) gives:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17302) all_12_1 = e3
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (17302) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17303) all_4_2 = e3
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17296), (17303) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17304) $false
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17304) is inconsistent.
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17305) all_12_4 = e3 | all_12_9 = e3 | all_12_16 = e3
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17305) gives:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17306) all_12_4 = e3
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (17137), (17306) are inconsistent by
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #43.
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17307) all_12_9 = e3 | all_12_16 = e3
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17307) gives:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17308) all_12_9 = e3
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (17308) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17309) all_4_10 = e3
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17301), (17309) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17310) $false
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17310) is inconsistent.
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17311) all_12_16 = e3
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (17311) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17312) all_4_17 = e3
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (757), (17312) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17313) ~ (all_4_19 = e3)
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17313) implies:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17314) ~ (all_4_19 = e3)
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13184) gives:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17315) all_10_71 = e3
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (547), (17314), (17315) are inconsistent by
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #96.
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17316) ~ (all_10_71 = e3)
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17317) all_10_72 = e2 | all_10_73 = e1 | all_10_74 = e0
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17317) gives:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17318) all_10_72 = e2
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (448), (17318) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17319) all_4_21 = e2
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17319) implies:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17320) all_4_21 = e2
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (658), (17320) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17321) all_12_18 = e2
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (687), (17320) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17322) ~ (all_4_4 = e2)
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (736), (17320) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17323) ~ (all_4_8 = e2)
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17098), (17320) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17324) ~ (e4 = e2)
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15611) gives:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17325) all_8_10 = e3
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (568), (17282), (17325) are inconsistent by
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #661.
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17326) all_8_10 = e2 | all_8_10 = e1 | all_8_10 = e0
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17326) gives:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17327) all_8_10 = e2
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (568), (17322), (17327) are inconsistent by
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #660.
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17328) all_8_10 = e1 | all_8_10 = e0
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17172) gives:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17329) all_12_7 = e1
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17099), (17329) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17330) e4 = e1
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (17330) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17331) $false
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17331) is inconsistent.
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17332) all_12_8 = e1 | all_12_11 = e1 | all_12_18 = e1
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17328) gives:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17333) all_8_10 = e1
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (568), (17162), (17333) are inconsistent by
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #719.
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17334) all_8_10 = e0
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (568), (17334) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17335) all_4_4 = e0
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17335) implies:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17336) all_4_4 = e0
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (17336) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17337) ~ (all_4_8 = e0)
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17337) implies:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17338) ~ (all_4_8 = e0)
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15591), (17336) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17339) ~ (e4 = e0)
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17078) gives:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17340) all_8_12 = e3
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (588), (17340) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17341) all_4_8 = e3
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17341) implies:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17342) all_4_8 = e3
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (664), (17342) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17343) all_12_8 = e3
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (728), (17342) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17344) ~ (all_4_7 = e3)
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (735), (17342) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17345) ~ (all_4_14 = e3)
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17345) implies:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17346) ~ (all_4_14 = e3)
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17064), (17342) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17347) ~ (e4 = e3)
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17332) gives:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17348) all_12_8 = e1
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17343), (17348) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17349) e3 = e1
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (17349) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17350) $false
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17350) is inconsistent.
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17351) all_12_11 = e1 | all_12_18 = e1
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17351) gives:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17352) all_12_11 = e1
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (454), (17352) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17353) all_4_14 = e1
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (751), (17353) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17354) ~ (all_4_15 = e1)
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17354) implies:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17355) ~ (all_4_15 = e1)
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17131) gives:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17356) all_10_58 = e3
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (17356) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17357) all_4_11 = e3
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17284), (17357) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17358) $false
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17358) is inconsistent.
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17359) ~ (all_10_58 = e3)
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17360) all_10_63 = e2 | all_10_68 = e1 | all_10_73 = e0
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15534) gives:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17361) all_10_59 = e3
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (420), (17361) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17362) all_4_18 = e3
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17362) implies:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17363) all_4_18 = e3
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (706), (17363) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17364) ~ (all_4_3 = e3)
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17360) gives:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17365) all_10_63 = e2
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (435), (17365) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17366) all_4_13 = e2
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17366) implies:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17367) all_4_13 = e2
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (738), (17367) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17368) ~ (all_4_15 = e2)
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17368) implies:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17369) ~ (all_4_15 = e2)
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (374) gives:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17370) all_12_9 = e2
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (17370) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17371) all_4_10 = e2
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17371) implies:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17372) all_4_10 = e2
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (702), (17372) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17373) ~ (all_4_2 = e2)
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (394) gives:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17374) all_12_1 = e2
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (17374) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17375) all_4_2 = e2
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17373), (17375) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17376) $false
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17376) is inconsistent.
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17377) ~ (all_12_1 = e2)
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17378) all_12_3 = e2 | all_12_7 = e2 | all_12_13 = e2 |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_21 = e2
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17378) gives:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17379) all_12_3 = e2
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (482), (17379) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17380) all_4_3 = e2
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17380) implies:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17381) all_4_3 = e2
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17364), (17381) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17382) ~ (e3 = e2)
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17187) gives:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17383) all_12_3 = e3
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17379), (17383) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17384) e3 = e2
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (17384) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17385) $false
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17385) is inconsistent.
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17386) all_12_5 = e3 | all_12_10 = e3 | all_12_17 = e3
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (470), (478), (15544), (17314), (17344),
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17386) are inconsistent by sub-proof #42.
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17387) ~ (all_12_3 = e2)
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (482), (17387) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17388) ~ (all_4_3 = e2)
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15569) gives:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17389) all_8_6 = e3
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (576), (17364), (17389) are inconsistent by
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #223.
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17390) all_8_6 = e2 | all_8_6 = e1 | all_8_6 = e0
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15614) gives:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17391) all_8_1 = e3
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (574), (17296), (17391) are inconsistent by
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #747.
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17392) all_8_1 = e2 | all_8_1 = e1 | all_8_1 = e0
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (574), (576), (666), (697), (17140), (17160),
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17204), (17373), (17388), (17390), (17392) are
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #148.
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17393) ~ (all_12_9 = e2)
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (494), (594), (600), (744), (15566), (15579),
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17146), (17286), (17301), (17355), (17369),
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17393) are inconsistent by sub-proof #46.
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17394) all_10_68 = e1 | all_10_73 = e0
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (431), (17118), (17355), (17394) are
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #377.
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17395) all_10_64 = e2 | all_10_69 = e1 | all_10_74 = e0
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11), (13), (14), (52), (374), (375), (414),
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (431), (435), (439), (454), (494), (560), (562),
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (594), (600), (660), (738), (743), (744), (745),
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (751), (754), (8424), (14778), (15544), (15566),
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15579), (17063), (17118), (17131), (17284),
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17286), (17287), (17301), (17395),
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #45.
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17396) all_12_18 = e1
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17321), (17396) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17397) e2 = e1
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (17397) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17398) $false
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17398) is inconsistent.
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17399) all_8_12 = e2 | all_8_12 = e1 | all_8_12 = e0
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (588), (17144), (17323), (17338), (17399) are
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #329.
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17400) all_10_73 = e1 | all_10_74 = e0
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (562), (8424), (17118), (17400) are
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #73.
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17401) ~ (all_12_12 = e3)
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17402) all_12_13 = e3 | all_12_14 = e3 | all_12_15 = e3 |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_19 = e3
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (446), (17401) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17403) ~ (all_4_9 = e3)
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15608) gives:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17404) all_8_15 = e3
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (570), (17403), (17404) are inconsistent by
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #732.
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17405) all_8_15 = e2 | all_8_15 = e1 | all_8_15 = e0
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17405) gives:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17406) all_8_15 = e2
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (570), (17278), (17406) are inconsistent by
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #731.
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17407) all_8_15 = e1 | all_8_15 = e0
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17407) gives:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17408) all_8_15 = e1
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (570), (17164), (17408) are inconsistent by
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #730.
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17409) all_8_15 = e0
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (570), (17409) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17410) all_4_9 = e0
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17410) implies:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17411) all_4_9 = e0
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (682), (17411) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17412) ~ (all_4_4 = e0)
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (688), (17411) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17413) ~ (all_4_16 = e0)
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17413) implies:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17414) ~ (all_4_16 = e0)
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17164), (17411) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17415) ~ (e1 = e0)
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (17411) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17416) op(e0, all_4_10) = e4
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (372) gives:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17417) all_12_9 = e0
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (494), (9342), (17416), (17417),
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #41.
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17418) ~ (all_12_9 = e0)
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (494), (17418) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17419) ~ (all_4_10 = e0)
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (392) gives:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17420) all_12_1 = e0
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (17420) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17421) all_4_2 = e0
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (697), (17421) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17422) ~ (all_4_3 = e0)
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17422) implies:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17423) ~ (all_4_3 = e0)
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (699), (17421) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17424) ~ (all_4_11 = e0)
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17424) implies:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17425) ~ (all_4_11 = e0)
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (703), (17421) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17426) ~ (all_4_17 = e0)
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17426) implies:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17427) ~ (all_4_17 = e0)
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (700), (17421) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17428) ~ (all_4_18 = e0)
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17428) implies:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17429) ~ (all_4_18 = e0)
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15589), (17421) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17430) ~ (e4 = e0)
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8422) gives:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17431) all_12_20 = e0
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (657), (17414), (17431) are inconsistent by
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #106.
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17432) all_12_21 = e0 | all_12_22 = e0 | all_12_23 = e0
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17432) gives:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17433) all_12_21 = e0
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (656), (17429), (17433) are inconsistent by
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #40.
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17434) all_12_22 = e0 | all_12_23 = e0
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17434) gives:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17435) all_12_22 = e0
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (17060), (17435) are inconsistent by
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #39.
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17436) all_12_23 = e0
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (414), (17436) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17437) all_4_22 = e0
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17437) implies:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17438) all_4_22 = e0
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (560), (17438) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17439) all_10_69 = e0
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (752), (17438) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17440) ~ (all_4_14 = e0)
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (756), (17438) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17441) ~ (all_4_24 = e0)
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (815), (17438) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17442) op(e0, e0) = all_10_48
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15534) gives:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17443) all_10_59 = e3
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (420), (17443) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17444) all_4_18 = e3
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17444) implies:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17445) all_4_18 = e3
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (656), (17445) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17446) all_12_21 = e3
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (706), (17445) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17447) ~ (all_4_3 = e3)
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (17445) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17448) ~ (all_4_11 = e3)
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (693), (17445) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17449) ~ (all_4_16 = e3)
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17057), (17445) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17450) ~ (e4 = e3)
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15569) gives:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17451) all_8_6 = e3
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (576), (17447), (17451) are inconsistent by
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #223.
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17452) ~ (all_8_6 = e3)
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17453) all_8_6 = e2 | all_8_6 = e1 | all_8_6 = e0
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17453) gives:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17454) all_8_6 = e2
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (576), (17454) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17455) all_4_3 = e2
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17455) implies:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17456) all_4_3 = e2
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (482), (17456) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17457) all_12_3 = e2
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (705), (17456) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17458) ~ (all_4_11 = e2)
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17458) implies:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17459) ~ (all_4_11 = e2)
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (709), (17456) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17460) ~ (all_4_19 = e2)
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17460) implies:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17461) ~ (all_4_19 = e2)
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17447), (17456) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17462) ~ (e3 = e2)
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17136) gives:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17463) all_8_16 = e3
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (580), (17448), (17463) are inconsistent by
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #766.
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17464) ~ (all_8_16 = e3)
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17465) all_8_16 = e2 | all_8_16 = e1 | all_8_16 = e0
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17465) gives:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17466) all_8_16 = e2
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (580), (17459), (17466) are inconsistent by
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #756.
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17467) all_8_16 = e1 | all_8_16 = e0
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17177) gives:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17468) all_12_21 = e1
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (17446), (17468) are inconsistent by
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #105.
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17469) all_12_22 = e1 | all_12_23 = e1 | all_12_24 = e1
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17467) gives:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17470) all_8_16 = e1
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (580), (17470) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17471) all_4_11 = e1
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17471) implies:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17472) all_4_11 = e1
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (17472) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17473) all_10_58 = e1
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (662), (17472) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17474) all_12_13 = e1
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (717), (17472) imply:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17475) ~ (all_4_15 = e1)
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17475) implies:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17476) ~ (all_4_15 = e1)
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17131) gives:
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17477) all_10_58 = e3
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17473), (17477) imply:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17478) e3 = e1
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (17478) imply:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17479) $false
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17479) is inconsistent.
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17480) ~ (all_10_58 = e3)
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17481) all_10_63 = e2 | all_10_68 = e1 | all_10_73 = e0
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17481) gives:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17482) all_10_63 = e2
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (435), (17482) imply:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17483) all_4_13 = e2
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17483) implies:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17484) all_4_13 = e2
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (661), (17484) imply:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17485) all_12_14 = e2
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (733), (17484) imply:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17486) ~ (all_4_8 = e2)
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17402) gives:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17487) all_12_13 = e3
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17474), (17487) imply:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17488) e3 = e1
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (17488) imply:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17489) $false
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17489) is inconsistent.
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17490) all_12_14 = e3 | all_12_15 = e3 | all_12_19 = e3
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15579) gives:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17491) all_8_18 = e3
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (600), (17491) imply:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17492) all_4_15 = e3
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17492) implies:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17493) all_4_15 = e3
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (17493) imply:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17494) ~ (all_4_10 = e3)
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (751), (17493) imply:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17495) ~ (all_4_14 = e3)
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15539) gives:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17496) all_8_20 = e3
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (572), (17449), (17496) are inconsistent by
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #579.
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17497) all_8_20 = e2 | all_8_20 = e1 | all_8_20 = e0
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17497) gives:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17498) all_8_20 = e2
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (572), (17498) imply:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17499) all_4_16 = e2
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17499) implies:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17500) all_4_16 = e2
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (683), (17500) imply:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17501) ~ (all_4_4 = e2)
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15566) gives:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17502) all_8_3 = e3
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (594), (17494), (17502) are inconsistent by
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #735.
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17503) all_8_3 = e2 | all_8_3 = e1 | all_8_3 = e0
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17503) gives:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17504) all_8_3 = e2
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (594), (17504) imply:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17505) all_4_10 = e2
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17505) implies:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17506) all_4_10 = e2
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (17506) imply:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17507) ~ (all_4_14 = e2)
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17507) implies:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17508) ~ (all_4_14 = e2)
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (746), (17506) imply:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17509) ~ (all_4_17 = e2)
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17509) implies:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17510) ~ (all_4_17 = e2)
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15584) gives:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17511) all_8_13 = e3
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (598), (17495), (17511) are inconsistent by
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #327.
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17512) all_8_13 = e2 | all_8_13 = e1 | all_8_13 = e0
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (364) gives:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17513) all_12_16 = e2
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (17513) imply:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17514) all_4_17 = e2
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17510), (17514) imply:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17515) $false
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17515) is inconsistent.
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17516) ~ (all_12_16 = e2)
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17517) all_12_17 = e2 | all_12_18 = e2 | all_12_19 = e2 |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_24 = e2
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17512) gives:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17518) all_8_13 = e2
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (598), (17508), (17518) are inconsistent by
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #664.
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17519) all_8_13 = e1 | all_8_13 = e0
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17519) gives:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17520) all_8_13 = e1
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (598), (17520) imply:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17521) all_4_14 = e1
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17521) implies:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17522) all_4_14 = e1
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (753), (17522) imply:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17523) ~ (all_4_21 = e1)
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17523) implies:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17524) ~ (all_4_21 = e1)
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13187) gives:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17525) all_8_4 = e3
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (603), (17525) imply:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17526) all_4_17 = e3
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17526) implies:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17527) all_4_17 = e3
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (17527) imply:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17528) all_12_16 = e3
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (757), (17527) imply:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17529) ~ (all_4_19 = e3)
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17529) implies:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17530) ~ (all_4_19 = e3)
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17174) gives:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17531) all_12_17 = e1
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (470), (17531) imply:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17532) all_4_19 = e1
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17168), (17532) imply:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17533) $false
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17533) is inconsistent.
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17534) all_12_18 = e1 | all_12_19 = e1 | all_12_24 = e1
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13184) gives:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17535) all_10_71 = e3
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (547), (17530), (17535) are inconsistent by
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #96.
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17536) all_10_72 = e2 | all_10_73 = e1 | all_10_74 = e0
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17187) gives:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17537) all_12_3 = e3
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17457), (17537) imply:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17538) e3 = e2
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (17538) imply:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17539) $false
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17539) is inconsistent.
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17540) ~ (all_12_3 = e3)
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17541) all_12_5 = e3 | all_12_10 = e3 | all_12_17 = e3
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17541) gives:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17542) all_12_5 = e3
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (17542) imply:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17543) all_4_7 = e3
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17543) implies:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17544) all_4_7 = e3
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (728), (17544) imply:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17545) ~ (all_4_8 = e3)
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17545) implies:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17546) ~ (all_4_8 = e3)
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17078) gives:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17547) all_8_12 = e3
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (588), (17546), (17547) are inconsistent by
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #333.
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17548) all_8_12 = e2 | all_8_12 = e1 | all_8_12 = e0
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17548) gives:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17549) all_8_12 = e2
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (588), (17486), (17549) are inconsistent by
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #332.
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17550) all_8_12 = e1 | all_8_12 = e0
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17534) gives:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17551) all_12_18 = e1
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (658), (17551) imply:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17552) all_4_21 = e1
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17524), (17552) imply:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17553) $false
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17553) is inconsistent.
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17554) all_12_19 = e1 | all_12_24 = e1
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17554) gives:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17555) all_12_19 = e1
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17115), (17555) imply:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17556) e4 = e1
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (17556) imply:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17557) $false
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17557) is inconsistent.
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17558) all_12_24 = e1
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (410), (17558) imply:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17559) all_4_24 = e1
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17559) implies:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17560) all_4_24 = e1
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (17560) imply:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17561) op(e0, e0) = e1
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17536) gives:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17562) all_10_72 = e2
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (448), (17562) imply:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17563) all_4_21 = e2
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17563) implies:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17564) all_4_21 = e2
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (658), (17564) imply:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17565) all_12_18 = e2
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8423) gives:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17566) all_12_16 = e0
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17528), (17566) imply:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17567) e3 = e0
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (17567) imply:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17568) $false
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17568) is inconsistent.
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17569) all_12_17 = e0 | all_12_18 = e0 | all_12_19 = e0
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17550) gives:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17570) all_8_12 = e1
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (588), (17144), (17570) are inconsistent by
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #331.
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17571) all_8_12 = e0
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (588), (17571) imply:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17572) all_4_8 = e0
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17572) implies:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17573) all_4_8 = e0
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17486), (17573) imply:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17574) ~ (e2 = e0)
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (58), (17573) imply:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17575) op(e0, e0) = e2
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (11), (470), (788), (17115), (17442),
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17561), (17565), (17569), (17575),
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #37.
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17576) all_10_73 = e1 | all_10_74 = e0
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (562), (8424), (17118), (17576) are
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #73.
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17577) ~ (all_12_5 = e3)
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (17577) imply:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17578) ~ (all_4_7 = e3)
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (14), (478), (568), (664), (685), (15611),
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17060), (17162), (17193), (17412), (17485),
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17501), (17578) are inconsistent by sub-proof
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #36.
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17579) ~ (all_8_4 = e3)
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (603), (17579) imply:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17580) ~ (all_4_17 = e3)
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15611) gives:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17581) all_8_10 = e3
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (568), (17581) imply:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17582) all_4_4 = e3
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17582) implies:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17583) all_4_4 = e3
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (17583) imply:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17584) ~ (all_4_8 = e3)
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17584) implies:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17585) ~ (all_4_8 = e3)
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (365) gives:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17586) all_12_16 = e3
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (17586) imply:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17587) all_4_17 = e3
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17580), (17587) imply:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17588) $false
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17588) is inconsistent.
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17589) all_12_17 = e3 | all_12_18 = e3 | all_12_19 = e3 |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_24 = e3
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17589) gives:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17590) all_12_17 = e3
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (470), (17590) imply:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17591) all_4_19 = e3
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (732), (17591) imply:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17592) ~ (all_4_7 = e3)
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (14), (478), (568), (664), (685), (15611),
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17060), (17162), (17193), (17412), (17485),
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17501), (17592) are inconsistent by sub-proof
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #36.
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17593) ~ (all_12_17 = e3)
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (470), (17593) imply:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17594) ~ (all_4_19 = e3)
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13184) gives:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17595) all_10_71 = e3
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (547), (17594), (17595) are inconsistent by
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #96.
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17596) all_10_72 = e2 | all_10_73 = e1 | all_10_74 = e0
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17078) gives:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17597) all_8_12 = e3
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (588), (17585), (17597) are inconsistent by
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #333.
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17598) all_8_12 = e2 | all_8_12 = e1 | all_8_12 = e0
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17070) gives:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17599) all_10_61 = e3
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (518), (17599) imply:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17600) all_4_7 = e3
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (17600) imply:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17601) all_12_5 = e3
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17517) gives:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17602) all_12_17 = e2
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (470), (17602) imply:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17603) all_4_19 = e2
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17461), (17603) imply:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17604) $false
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17604) is inconsistent.
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17605) all_12_18 = e2 | all_12_19 = e2 | all_12_24 = e2
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17605) gives:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17606) all_12_18 = e2
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (658), (17606) imply:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17607) all_4_21 = e2
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (765), (17607) imply:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17608) ~ (all_4_24 = e2)
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17608) implies:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17609) ~ (all_4_24 = e2)
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8423) gives:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17610) all_12_16 = e0
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (17610) imply:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17611) all_4_17 = e0
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17427), (17611) imply:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17612) $false
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17612) is inconsistent.
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17613) all_12_17 = e0 | all_12_18 = e0 | all_12_19 = e0
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17598) gives:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17614) all_8_12 = e2
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (588), (17486), (17614) are inconsistent by
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #332.
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17615) ~ (all_8_12 = e2)
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17616) all_8_12 = e1 | all_8_12 = e0
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17469) gives:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17617) all_12_22 = e1
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (17060), (17617) are inconsistent by
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #345.
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17618) all_12_23 = e1 | all_12_24 = e1
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17199) gives:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17619) all_12_5 = e0
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17601), (17619) imply:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17620) e3 = e0
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (17620) imply:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17621) $false
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17621) is inconsistent.
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17622) all_12_8 = e0 | all_12_14 = e0 | all_12_22 = e0
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17622) gives:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17623) all_12_8 = e0
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (664), (17623) imply:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17624) all_4_8 = e0
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17486), (17624) imply:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17625) ~ (e2 = e0)
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (58), (17624) imply:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17626) op(e0, e0) = e2
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17618) gives:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17627) all_12_23 = e1
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17436), (17627) imply:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17628) e1 = e0
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (17628) imply:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17629) $false
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17629) is inconsistent.
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17630) all_12_24 = e1
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (410), (17630) imply:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17631) all_4_24 = e1
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17631) implies:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17632) all_4_24 = e1
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17609), (17632) imply:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17633) ~ (e2 = e1)
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (17632) imply:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17634) op(e0, e0) = e1
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (11), (470), (788), (17115), (17442),
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17606), (17613), (17626), (17634),
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #37.
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17635) ~ (all_12_8 = e0)
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (664), (17635) imply:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17636) ~ (all_4_8 = e0)
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (588), (17144), (17616), (17636) are inconsistent
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #330.
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17637) ~ (all_12_18 = e2)
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (658), (17637) imply:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17638) ~ (all_4_21 = e2)
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (448), (562), (8424), (17118), (17596),
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17638) are inconsistent by sub-proof #35.
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17639) ~ (all_10_61 = e3)
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (518), (17639) imply:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17640) ~ (all_4_7 = e3)
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (14), (478), (568), (664), (685), (15611),
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17060), (17162), (17193), (17412), (17485),
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17501), (17640) are inconsistent by sub-proof
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #36.
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17641) all_8_10 = e2 | all_8_10 = e1 | all_8_10 = e0
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (568), (17162), (17412), (17501), (17641) are
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #716.
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17642) all_8_13 = e0
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (598), (17440), (17642) are inconsistent by
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #545.
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17643) all_8_3 = e1 | all_8_3 = e0
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (594), (17146), (17419), (17643) are inconsistent
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #741.
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17644) all_8_20 = e1 | all_8_20 = e0
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (572), (17166), (17414), (17644) are inconsistent
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #633.
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17645) ~ (all_8_18 = e3)
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (14), (600), (660), (17115), (17485),
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17490), (17645) are inconsistent by sub-proof
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #34.
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17646) all_10_68 = e1 | all_10_73 = e0
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (431), (17118), (17476), (17646) are
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #377.
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17647) all_8_16 = e0
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (580), (17425), (17647) are inconsistent by
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #754.
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17648) all_8_6 = e1 | all_8_6 = e0
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (576), (17160), (17423), (17648) are inconsistent
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #220.
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17649) all_10_64 = e2 | all_10_69 = e1 | all_10_74 = e0
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17649) gives:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17650) all_10_64 = e2
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (17063), (17650) are inconsistent by
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #195.
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17651) all_10_69 = e1 | all_10_74 = e0
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (562), (8424), (17439), (17651) are
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #180.
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17652) ~ (all_12_1 = e0)
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (666), (17652) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17653) ~ (all_4_2 = e0)
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17204) gives:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17654) all_12_1 = e0
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (17654) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17655) all_4_2 = e0
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17653), (17655) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17656) $false
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17656) is inconsistent.
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17657) all_12_4 = e0 | all_12_9 = e0 | all_12_16 = e0
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17657) gives:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17658) all_12_4 = e0
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17137), (17658) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17659) e1 = e0
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (17659) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17660) $false
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17660) is inconsistent.
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17661) all_12_9 = e0 | all_12_16 = e0
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17661) gives:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17662) all_12_9 = e0
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (494), (17419), (17662) are inconsistent by
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #466.
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17663) all_12_16 = e0
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (17663) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17664) all_4_17 = e0
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13181), (17664) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17665) ~ (e4 = e0)
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (49), (17664) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17666) op(e0, all_4_16) = e0
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_45,
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, all_4_16, e0, simplifying with (812), (17666)
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17667) all_10_45 = e0
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (379) gives:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17668) all_12_6 = e2
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (17668) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17669) all_4_4 = e2
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17152), (17669) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17670) op(e2, e1) = e4
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (15550), (17670), (function-axioms) are
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #684.
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17671) ~ (all_12_6 = e2)
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (665), (17671) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17672) ~ (all_4_4 = e2)
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15611) gives:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17673) all_8_10 = e3
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (568), (17673) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17674) all_4_4 = e3
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (683), (17674) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17675) ~ (all_4_16 = e3)
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17675) implies:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17676) ~ (all_4_16 = e3)
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15539) gives:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17677) all_8_20 = e3
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (572), (17676), (17677) are inconsistent by
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #579.
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17678) all_8_20 = e2 | all_8_20 = e1 | all_8_20 = e0
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17678) gives:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17679) all_8_20 = e2
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (572), (17679) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17680) all_4_16 = e2
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17680) implies:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17681) all_4_16 = e2
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17666), (17681) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17682) op(e0, e2) = e0
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, e0, e2,
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (17067), (17682) gives:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17683) e4 = e0
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (17683) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17684) $false
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17684) is inconsistent.
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17685) all_8_20 = e1 | all_8_20 = e0
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (572), (17166), (17414), (17685) are inconsistent
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #633.
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17686) all_8_10 = e2 | all_8_10 = e1 | all_8_10 = e0
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (568), (17162), (17412), (17672), (17686) are
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #716.
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17687) ~ (all_12_2 = e1)
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17688) all_12_3 = e1 | all_12_5 = e1 | all_12_10 = e1 |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_17 = e1
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (486), (17687) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17689) ~ (all_4_1 = e1)
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (393) gives:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17690) all_12_1 = e1
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (17690) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17691) all_4_2 = e1
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17140), (17691) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17692) $false
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17692) is inconsistent.
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17693) all_12_3 = e1 | all_12_7 = e1 | all_12_13 = e1 |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_21 = e1
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (378) gives:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17694) all_12_6 = e1
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (17694) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17695) all_4_4 = e1
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17152), (17695) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17696) op(e1, e1) = e4
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (15552), (17696), (function-axioms) are
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #705.
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17697) ~ (all_12_6 = e1)
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (665), (17697) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17698) ~ (all_4_4 = e1)
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (399) gives:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17699) all_12_0 = e1
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15585), (17699) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17700) e4 = e1
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (17700) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17701) $false
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17701) is inconsistent.
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17702) all_12_2 = e1 | all_12_6 = e1 | all_12_12 = e1 |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_20 = e1
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (363) gives:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17703) all_12_16 = e1
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (17703) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17704) all_4_17 = e1
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17150), (17704) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17705) $false
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17705) is inconsistent.
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17706) all_12_17 = e1 | all_12_18 = e1 | all_12_19 = e1 |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_24 = e1
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (368) gives:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17707) all_12_12 = e1
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (17707) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17708) all_4_9 = e1
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (689), (17708) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17709) ~ (all_4_11 = e1)
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17709) implies:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17710) ~ (all_4_11 = e1)
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (691), (17708) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17711) ~ (all_4_15 = e1)
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17711) implies:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17712) ~ (all_4_15 = e1)
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (403) gives:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17713) all_12_0 = e3
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15585), (17713) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17714) e4 = e3
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (17714) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17715) $false
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17715) is inconsistent.
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17716) all_12_2 = e3 | all_12_6 = e3 | all_12_12 = e3 |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_20 = e3
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (390) gives:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17717) all_12_2 = e3
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (17717) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17718) all_4_1 = e3
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (678), (17718) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17719) ~ (all_4_3 = e3)
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17719) implies:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17720) ~ (all_4_3 = e3)
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (679), (17718) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17721) ~ (all_4_7 = e3)
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17721) implies:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17722) ~ (all_4_7 = e3)
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (681), (17718) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17723) ~ (all_4_19 = e3)
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17723) implies:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17724) ~ (all_4_19 = e3)
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15545), (17718) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17725) ~ (e4 = e3)
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13184) gives:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17726) all_10_71 = e3
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (547), (17724), (17726) are inconsistent by
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #96.
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17727) all_10_72 = e2 | all_10_73 = e1 | all_10_74 = e0
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17070) gives:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17728) all_10_61 = e3
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (518), (17728) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17729) all_4_7 = e3
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17722), (17729) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17730) $false
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17730) is inconsistent.
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17731) all_10_62 = e2 | all_10_63 = e1 | all_10_64 = e0
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17128) gives:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17732) all_10_56 = e3
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (514), (17732) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17733) all_4_3 = e3
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17720), (17733) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17734) $false
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17734) is inconsistent.
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17735) all_10_57 = e2 | all_10_58 = e1 | all_10_59 = e0
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17735) gives:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17736) all_10_57 = e2
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17101), (17736) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17737) e4 = e2
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13), (17737) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17738) $false
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17738) is inconsistent.
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17739) all_10_58 = e1 | all_10_59 = e0
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17739) gives:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17740) all_10_58 = e1
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (17740) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17741) all_4_11 = e1
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17710), (17741) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17742) $false
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17742) is inconsistent.
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17743) all_10_59 = e0
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (420), (17743) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17744) all_4_18 = e0
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (721), (17744) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17745) ~ (all_4_24 = e0)
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17727) gives:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17746) all_10_72 = e2
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (448), (17746) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17747) all_4_21 = e2
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17747) implies:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17748) all_4_21 = e2
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (736), (17748) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17749) ~ (all_4_8 = e2)
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (753), (17748) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17750) ~ (all_4_14 = e2)
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15564) gives:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17751) all_10_66 = e3
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (15543), (17751) are inconsistent by
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #445.
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17752) all_10_67 = e2 | all_10_68 = e1 | all_10_69 = e0
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15534) gives:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17753) all_10_59 = e3
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (17743), (17753) are inconsistent by
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #33.
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17754) all_10_64 = e2 | all_10_69 = e1 | all_10_74 = e0
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17752) gives:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17755) all_10_67 = e2
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (532), (17750), (17755) are inconsistent by
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #453.
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17756) all_10_68 = e1 | all_10_69 = e0
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17754) gives:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17757) all_10_64 = e2
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (435), (455), (17148), (17731), (17749),
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17757) are inconsistent by sub-proof #125.
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17758) all_10_69 = e1 | all_10_74 = e0
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (431), (562), (8424), (17712), (17756),
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17758) are inconsistent by sub-proof #179.
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17759) all_10_73 = e1 | all_10_74 = e0
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (562), (8424), (17118), (17759) are
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #73.
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17760) ~ (all_12_2 = e3)
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (486), (17760) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17761) ~ (all_4_1 = e3)
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (380) gives:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17762) all_12_6 = e3
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (17762) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17763) all_4_4 = e3
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17153), (17763) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17764) op(e1, e3) = e2
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (11), (25), (431), (435), (439), (716),
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17118), (17131), (17712), (17764),
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #32.
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17765) ~ (all_12_6 = e3)
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (665), (17765) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17766) ~ (all_4_4 = e3)
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17716) gives:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17767) all_12_2 = e3
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (17767) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17768) all_4_1 = e3
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17761), (17768) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17769) $false
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17769) is inconsistent.
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17770) all_12_6 = e3 | all_12_12 = e3 | all_12_20 = e3
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17770) gives:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17771) all_12_6 = e3
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (17771) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17772) all_4_4 = e3
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17766), (17772) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17773) $false
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17773) is inconsistent.
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17774) all_12_12 = e3 | all_12_20 = e3
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17774) gives:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17775) all_12_12 = e3
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (17707), (17775) are inconsistent by
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #251.
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17776) all_12_20 = e3
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (17776) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17777) all_4_16 = e3
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (693), (17777) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17778) ~ (all_4_18 = e3)
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17778) implies:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17779) ~ (all_4_18 = e3)
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15534) gives:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17780) all_10_59 = e3
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (420), (17780) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17781) all_4_18 = e3
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17779), (17781) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17782) $false
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17782) is inconsistent.
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17783) ~ (all_10_59 = e3)
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17784) all_10_64 = e2 | all_10_69 = e1 | all_10_74 = e0
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17784) gives:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17785) all_10_64 = e2
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (17063), (17785) are inconsistent by
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #195.
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17786) all_10_69 = e1 | all_10_74 = e0
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17786) gives:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17787) all_10_69 = e1
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (560), (17787) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17788) all_4_22 = e1
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17788) implies:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17789) all_4_22 = e1
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (414), (17789) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17790) all_12_23 = e1
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (720), (17789) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17791) ~ (all_4_18 = e1)
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (756), (17789) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17792) ~ (all_4_24 = e1)
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17792) implies:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17793) ~ (all_4_24 = e1)
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8422) gives:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17794) all_12_20 = e0
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17776), (17794) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17795) e3 = e0
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (17795) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17796) $false
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17796) is inconsistent.
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17797) all_12_21 = e0 | all_12_22 = e0 | all_12_23 = e0
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17797) gives:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17798) all_12_21 = e0
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (656), (17798) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17799) all_4_18 = e0
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (721), (17799) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17800) ~ (all_4_24 = e0)
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17057), (17799) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17801) ~ (e4 = e0)
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17779), (17799) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17802) ~ (e3 = e0)
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17791), (17799) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17803) ~ (e1 = e0)
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17693) gives:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17804) all_12_3 = e1
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (482), (17804) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17805) all_4_3 = e1
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (514), (17805) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17806) all_10_56 = e1
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (709), (17805) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17807) ~ (all_4_19 = e1)
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17807) implies:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17808) ~ (all_4_19 = e1)
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17706) gives:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17809) all_12_17 = e1
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (470), (17809) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17810) all_4_19 = e1
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17808), (17810) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17811) $false
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17811) is inconsistent.
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17812) all_12_18 = e1 | all_12_19 = e1 | all_12_24 = e1
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17812) gives:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17813) all_12_18 = e1
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (658), (17813) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17814) all_4_21 = e1
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (448), (17814) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17815) all_10_72 = e1
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13184) gives:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17816) all_10_71 = e3
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (547), (17816) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17817) all_4_19 = e3
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17817) implies:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17818) all_4_19 = e3
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (732), (17818) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17819) ~ (all_4_7 = e3)
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17070) gives:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17820) all_10_61 = e3
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (518), (17819), (17820) are inconsistent by
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #457.
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17821) all_10_62 = e2 | all_10_63 = e1 | all_10_64 = e0
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15561) gives:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17822) all_10_56 = e3
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17806), (17822) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17823) e3 = e1
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (17823) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17824) $false
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17824) is inconsistent.
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17825) all_10_61 = e2 | all_10_66 = e1 | all_10_71 = e0
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (12), (435), (455), (518), (728),
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15543), (17063), (17148), (17816), (17821),
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17825) are inconsistent by sub-proof #31.
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17826) all_10_72 = e2 | all_10_73 = e1 | all_10_74 = e0
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17826) gives:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17827) all_10_72 = e2
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17815), (17827) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17828) e2 = e1
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (17828) imply:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17829) $false
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17829) is inconsistent.
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17830) all_10_73 = e1 | all_10_74 = e0
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (562), (8424), (17118), (17830) are
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #73.
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17831) all_12_19 = e1 | all_12_24 = e1
% 181.40/27.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17831) gives:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17832) all_12_19 = e1
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17115), (17832) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17833) e4 = e1
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (17833) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17834) $false
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17834) is inconsistent.
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17835) all_12_24 = e1
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (410), (17835) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17836) all_4_24 = e1
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17793), (17836) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17837) $false
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17837) is inconsistent.
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17838) all_12_7 = e1 | all_12_13 = e1 | all_12_21 = e1
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17838) gives:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17839) all_12_7 = e1
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17099), (17839) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17840) e4 = e1
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (17840) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17841) $false
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17841) is inconsistent.
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17842) all_12_13 = e1 | all_12_21 = e1
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17842) gives:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17843) all_12_13 = e1
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (662), (17843) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17844) all_4_11 = e1
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17710), (17844) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17845) $false
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17845) is inconsistent.
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17846) all_12_21 = e1
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17798), (17846) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17847) e1 = e0
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (562), (8424), (17786), (17787), (17847) are
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #55.
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17848) all_12_22 = e0 | all_12_23 = e0
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11), (562), (8424), (17060), (17786),
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17787), (17790), (17848) are inconsistent by
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #159.
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17849) all_10_74 = e0
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (562), (8424), (17849) are inconsistent by
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #276.
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17850) ~ (all_12_12 = e1)
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (446), (17850) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17851) ~ (all_4_9 = e1)
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17702) gives:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17852) all_12_2 = e1
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (17852) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17853) all_4_1 = e1
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17689), (17853) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17854) $false
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17854) is inconsistent.
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17855) all_12_6 = e1 | all_12_12 = e1 | all_12_20 = e1
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17855) gives:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17856) all_12_6 = e1
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (17856) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17857) all_4_4 = e1
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17698), (17857) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17858) $false
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17858) is inconsistent.
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17859) all_12_12 = e1 | all_12_20 = e1
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17859) gives:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17860) all_12_12 = e1
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (17860) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17861) all_4_9 = e1
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17851), (17861) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17862) $false
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17862) is inconsistent.
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17863) all_12_20 = e1
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (17863) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17864) all_4_16 = e1
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (695), (17864) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17865) ~ (all_4_22 = e1)
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17865) implies:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17866) ~ (all_4_22 = e1)
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15534) gives:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17867) all_10_59 = e3
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (420), (17867) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17868) all_4_18 = e3
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (706), (17868) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17869) ~ (all_4_3 = e3)
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (17868) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17870) ~ (all_4_11 = e3)
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (721), (17868) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17871) ~ (all_4_24 = e3)
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17871) implies:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17872) ~ (all_4_24 = e3)
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17128) gives:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17873) all_10_56 = e3
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (514), (17873) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17874) all_4_3 = e3
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17869), (17874) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17875) $false
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17875) is inconsistent.
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17876) all_10_57 = e2 | all_10_58 = e1 | all_10_59 = e0
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17876) gives:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17877) all_10_57 = e2
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17101), (17877) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17878) e4 = e2
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13), (17878) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17879) $false
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17879) is inconsistent.
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17880) all_10_58 = e1 | all_10_59 = e0
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17880) gives:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17881) all_10_58 = e1
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (17881) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17882) all_4_11 = e1
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (705), (17882) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17883) ~ (all_4_3 = e1)
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17870), (17882) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17884) ~ (e3 = e1)
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17688) gives:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17885) all_12_3 = e1
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (482), (17885) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17886) all_4_3 = e1
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17883), (17886) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17887) $false
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17887) is inconsistent.
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17888) all_12_5 = e1 | all_12_10 = e1 | all_12_17 = e1
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9341) gives:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17889) all_8_24 = e3
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (612), (17872), (17889) are inconsistent by
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #267.
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17890) all_8_24 = e2 | all_8_24 = e1 | all_8_24 = e0
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17888) gives:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17891) all_12_5 = e1
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (17891) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17892) all_4_7 = e1
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17892) implies:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17893) all_4_7 = e1
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17142), (17893) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17894) $false
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17894) is inconsistent.
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17895) all_12_10 = e1 | all_12_17 = e1
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17895) gives:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17896) all_12_10 = e1
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (15544), (17896) are inconsistent by
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #61.
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17897) all_12_17 = e1
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (470), (17897) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17898) all_4_19 = e1
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17898) implies:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17899) all_4_19 = e1
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (547), (17899) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17900) all_10_71 = e1
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (763), (17899) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17901) ~ (all_4_24 = e1)
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17901) implies:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17902) ~ (all_4_24 = e1)
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13184) gives:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17903) all_10_71 = e3
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17900), (17903) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17904) e3 = e1
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (17904) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17905) $false
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17905) is inconsistent.
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17906) all_10_72 = e2 | all_10_73 = e1 | all_10_74 = e0
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (448), (562), (612), (765), (8424), (17118),
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17890), (17902), (17906) are inconsistent by
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #30.
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17907) all_10_59 = e0
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17867), (17907) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17908) e3 = e0
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (17908) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17909) $false
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17909) is inconsistent.
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17910) all_10_64 = e2 | all_10_69 = e1 | all_10_74 = e0
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17910) gives:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17911) all_10_64 = e2
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (17063), (17911) are inconsistent by
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #195.
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17912) all_10_69 = e1 | all_10_74 = e0
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (560), (562), (8424), (17866), (17912) are
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #194.
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17913) ~ (all_12_4 = e1)
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (498), (17913) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17914) ~ (all_4_5 = e1)
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (400) gives:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17915) all_12_0 = e1
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15585), (17915) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17916) e4 = e1
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (17916) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17917) $false
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17917) is inconsistent.
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17918) ~ (all_12_0 = e1)
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17919) all_12_1 = e1 | all_12_4 = e1 | all_12_9 = e1 |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_16 = e1
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (359) gives:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17920) all_12_20 = e1
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (17920) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17921) all_4_16 = e1
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17921) implies:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17922) all_4_16 = e1
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (695), (17922) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17923) ~ (all_4_22 = e1)
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17923) implies:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17924) ~ (all_4_22 = e1)
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (696), (17922) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17925) ~ (all_4_24 = e1)
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17925) implies:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17926) ~ (all_4_24 = e1)
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15534) gives:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17927) all_10_59 = e3
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (420), (17927) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17928) all_4_18 = e3
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17928) implies:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17929) all_4_18 = e3
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (706), (17929) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17930) ~ (all_4_3 = e3)
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (17929) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17931) ~ (all_4_11 = e3)
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (721), (17929) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17932) ~ (all_4_24 = e3)
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17932) implies:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17933) ~ (all_4_24 = e3)
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (13), (431), (435), (439), (448),
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (514), (518), (562), (612), (717), (729), (765),
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8424), (9341), (13184), (15543), (15561),
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17101), (17104), (17118), (17128), (17131),
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17926), (17927), (17930), (17931), (17933) are
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #27.
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17934) all_10_64 = e2 | all_10_69 = e1 | all_10_74 = e0
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (560), (562), (8424), (17063), (17924),
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17934) are inconsistent by sub-proof #168.
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17935) ~ (all_12_20 = e1)
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (657), (17935) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17936) ~ (all_4_16 = e1)
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (399) gives:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17937) all_12_0 = e1
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15585), (17937) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17938) e4 = e1
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (17938) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17939) $false
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17939) is inconsistent.
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17940) all_12_2 = e1 | all_12_6 = e1 | all_12_12 = e1 |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_20 = e1
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (369) gives:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17941) all_12_12 = e2
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (17941) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17942) all_4_9 = e2
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17942) implies:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17943) all_4_9 = e2
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (676), (17943) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17944) ~ (all_4_1 = e2)
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (682), (17943) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17945) ~ (all_4_4 = e2)
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (690), (17943) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17946) ~ (all_4_13 = e2)
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17946) implies:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17947) ~ (all_4_13 = e2)
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (688), (17943) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17948) ~ (all_4_16 = e2)
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17948) implies:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17949) ~ (all_4_16 = e2)
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15595), (17943) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17950) ~ (e4 = e2)
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (17943) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17951) op(e2, all_4_10) = e4
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (56), (17943) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17952) op(all_4_10, e2) = e1
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (807), (17943) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17953) op(e1, e2) = all_10_40
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_13,
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_40, e2, e1, simplifying with (24), (17953)
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17954) all_10_40 = all_4_13
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (403) gives:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17955) all_12_0 = e3
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15585), (17955) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17956) e4 = e3
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (17956) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17957) $false
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17957) is inconsistent.
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17958) ~ (all_12_0 = e3)
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17959) all_12_2 = e3 | all_12_6 = e3 | all_12_12 = e3 |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_20 = e3
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (394) gives:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17960) all_12_1 = e2
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (17960) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17961) all_4_2 = e2
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (701), (17961) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17962) ~ (all_4_5 = e2)
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17962) implies:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17963) ~ (all_4_5 = e2)
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (702), (17961) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17964) ~ (all_4_10 = e2)
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17964) implies:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17965) ~ (all_4_10 = e2)
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (703), (17961) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17966) ~ (all_4_17 = e2)
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17966) implies:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17967) ~ (all_4_17 = e2)
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (65), (17961) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17968) op(all_4_1, e2) = e4
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (404) gives:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17969) all_12_0 = e3
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15585), (17969) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17970) e4 = e3
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (17970) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17971) $false
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17971) is inconsistent.
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17972) all_12_1 = e3 | all_12_4 = e3 | all_12_9 = e3 |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_16 = e3
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (398) gives:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17973) all_12_0 = e0
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15585), (17973) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17974) e4 = e0
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (17974) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17975) $false
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17975) is inconsistent.
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17976) all_12_1 = e0 | all_12_4 = e0 | all_12_9 = e0 |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_16 = e0
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (378) gives:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17977) all_12_6 = e1
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (17977) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17978) all_4_4 = e1
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17978) implies:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17979) all_4_4 = e1
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17945), (17979) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17980) ~ (e2 = e1)
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (61), (17979) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17981) op(all_4_5, e1) = e2
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (802), (17979) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17982) op(e2, e1) = all_10_35
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_14,
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_35, e1, e2, simplifying with (28), (17982)
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17983) all_10_35 = all_4_14
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (373) gives:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17984) all_12_9 = e1
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (17984) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17985) all_4_10 = e1
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17985) implies:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17986) all_4_10 = e1
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17951), (17986) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17987) op(e2, e1) = e4
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (15550), (17987), (function-axioms) are
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #684.
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17988) ~ (all_12_9 = e1)
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (494), (17988) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17989) ~ (all_4_10 = e1)
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17919) gives:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17990) all_12_1 = e1
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17960), (17990) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17991) e2 = e1
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (17991) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17992) $false
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17992) is inconsistent.
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17993) all_12_4 = e1 | all_12_9 = e1 | all_12_16 = e1
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17993) gives:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17994) all_12_4 = e1
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (17994) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17995) all_4_5 = e1
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17914), (17995) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17996) $false
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17996) is inconsistent.
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17997) all_12_9 = e1 | all_12_16 = e1
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17997) gives:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17998) all_12_9 = e1
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (494), (17989), (17998) are inconsistent by
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #204.
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17999) all_12_16 = e1
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (17999) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18000) all_4_17 = e1
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (760), (18000) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18001) ~ (all_4_24 = e1)
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18001) implies:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18002) ~ (all_4_24 = e1)
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (375) gives:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18003) all_12_9 = e3
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (18003) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18004) all_4_10 = e3
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18004) implies:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18005) all_4_10 = e3
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (726), (18005) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18006) ~ (all_4_5 = e3)
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17952), (18005) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18007) op(e3, e2) = e1
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15605) gives:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18008) all_8_2 = e3
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (18006), (18008) are inconsistent by
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #753.
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18009) ~ (all_8_2 = e3)
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18010) all_8_2 = e2 | all_8_2 = e1 | all_8_2 = e0
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17976) gives:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18011) all_12_1 = e0
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17960), (18011) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18012) e2 = e0
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (18012) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18013) $false
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18013) is inconsistent.
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18014) all_12_4 = e0 | all_12_9 = e0 | all_12_16 = e0
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18014) gives:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18015) all_12_4 = e0
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (18015) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18016) all_4_5 = e0
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (724), (18016) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18017) ~ (all_4_13 = e0)
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18017) implies:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18018) ~ (all_4_13 = e0)
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15593), (18016) imply:
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18019) ~ (e4 = e0)
% 181.40/27.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18006), (18016) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18020) ~ (e3 = e0)
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17981), (18016) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18021) op(e0, e1) = e2
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_22, e2,
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, simplifying with (18), (18021) gives:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18022) all_4_22 = e2
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_7, e1,
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (34), (18007) gives:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18023) all_4_7 = e1
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (729), (18023) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18024) ~ (all_4_13 = e1)
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18024) implies:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18025) ~ (all_4_13 = e1)
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15534) gives:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18026) all_10_59 = e3
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (420), (18026) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18027) all_4_18 = e3
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18027) implies:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18028) all_4_18 = e3
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (706), (18028) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18029) ~ (all_4_3 = e3)
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (18028) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18030) ~ (all_4_11 = e3)
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (721), (18028) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18031) ~ (all_4_24 = e3)
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18031) implies:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18032) ~ (all_4_24 = e3)
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11), (13), (431), (435), (439), (448),
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (514), (518), (562), (612), (717), (729), (765),
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8424), (9341), (13184), (15543), (15561),
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17101), (17104), (17118), (17128), (17131),
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18002), (18026), (18029), (18030), (18032) are
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #27.
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18033) ~ (all_10_59 = e3)
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (420), (18033) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18034) ~ (all_4_18 = e3)
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17075) gives:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18035) all_8_17 = e3
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (590), (18035) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18036) all_4_13 = e3
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (18036) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18037) ~ (all_4_11 = e3)
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (13), (420), (431), (435), (439), (560),
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (562), (754), (8424), (15534), (17063), (17118),
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17131), (17947), (18034), (18037) are
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #26.
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18038) all_8_17 = e2 | all_8_17 = e1 | all_8_17 = e0
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (590), (17947), (18018), (18025), (18038) are
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #547.
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18039) ~ (all_12_4 = e0)
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (498), (18039) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18040) ~ (all_4_5 = e0)
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (17914), (17963), (18010), (18040) are
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #749.
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18041) ~ (all_12_9 = e3)
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (494), (18041) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18042) ~ (all_4_10 = e3)
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15566) gives:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18043) all_8_3 = e3
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (594), (18042), (18043) are inconsistent by
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #735.
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18044) ~ (all_8_3 = e3)
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18045) all_8_3 = e2 | all_8_3 = e1 | all_8_3 = e0
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17972) gives:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18046) all_12_1 = e3
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (17960), (18046) are inconsistent by
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #216.
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18047) all_12_4 = e3 | all_12_9 = e3 | all_12_16 = e3
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18047) gives:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18048) all_12_4 = e3
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (18048) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18049) all_4_5 = e3
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17981), (18049) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18050) op(e3, e1) = e2
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18045) gives:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18051) all_8_3 = e2
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (594), (18051) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18052) all_4_10 = e2
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17965), (18052) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18053) $false
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18053) is inconsistent.
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18054) all_8_3 = e1 | all_8_3 = e0
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18054) gives:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18055) all_8_3 = e1
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (594), (18055) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18056) all_4_10 = e1
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17989), (18056) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18057) $false
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18057) is inconsistent.
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18058) all_8_3 = e0
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (594), (18058) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18059) all_4_10 = e0
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17952), (18059) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18060) op(e0, e2) = e1
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, e1, e2,
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (17067), (18060) gives:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18061) e4 = e1
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, e2, e1,
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (15557), (18050) gives:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18062) e4 = e2
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18061), (18062) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18063) e2 = e1
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (18063) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18064) $false
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18064) is inconsistent.
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18065) all_12_9 = e3 | all_12_16 = e3
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (494), (17999), (18042), (18065) are
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #307.
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18066) ~ (all_12_6 = e1)
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (665), (18066) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18067) ~ (all_4_4 = e1)
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17940) gives:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18068) all_12_2 = e1
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (18068) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18069) all_4_1 = e1
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17968), (18069) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18070) op(e1, e2) = e4
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (17065), (18070), (function-axioms) are
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #693.
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18071) all_12_6 = e1 | all_12_12 = e1 | all_12_20 = e1
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18071) gives:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18072) all_12_6 = e1
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (665), (18067), (18072) are inconsistent by
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #769.
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18073) all_12_12 = e1 | all_12_20 = e1
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (657), (17936), (17941), (18073) are
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #85.
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18074) ~ (all_12_1 = e2)
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (666), (18074) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18075) ~ (all_4_2 = e2)
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (384) gives:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18076) all_12_4 = e2
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (18076) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18077) all_4_5 = e2
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (722), (18077) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18078) ~ (all_4_7 = e2)
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18078) implies:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18079) ~ (all_4_7 = e2)
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (18077) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18080) op(all_4_4, e2) = e4
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (61), (18077) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18081) op(e2, all_4_4) = e2
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_35,
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, all_4_4, e2, simplifying with (802), (18081)
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18082) all_10_35 = e2
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (388) gives:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18083) all_12_2 = e1
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (18083) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18084) all_4_1 = e1
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (677), (18084) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18085) ~ (all_4_16 = e1)
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17944), (18084) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18086) ~ (e2 = e1)
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (65), (18084) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18087) op(e1, all_4_2) = e4
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (393) gives:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18088) all_12_1 = e1
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (18088) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18089) all_4_2 = e1
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18087), (18089) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18090) op(e1, e1) = e4
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (15552), (18090), (function-axioms) are
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #705.
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18091) ~ (all_12_1 = e1)
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (666), (18091) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18092) ~ (all_4_2 = e1)
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (363) gives:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18093) all_12_16 = e1
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (18093) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18094) all_4_17 = e1
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (760), (18094) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18095) ~ (all_4_24 = e1)
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18095) implies:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18096) ~ (all_4_24 = e1)
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13181), (18094) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18097) ~ (e4 = e1)
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (50), (18094) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18098) op(all_4_16, e1) = e4
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (49), (18094) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18099) op(e1, all_4_16) = e0
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (787), (18094) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18100) op(e1, e0) = all_10_4
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_10_4,
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e1, simplifying with (17120), (18100) gives:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18101) all_10_4 = e4
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (380) gives:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18102) all_12_6 = e3
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (18102) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18103) all_4_4 = e3
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (683), (18103) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18104) ~ (all_4_16 = e3)
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18104) implies:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18105) ~ (all_4_16 = e3)
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18081), (18103) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18106) op(e2, e3) = e2
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15539) gives:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18107) all_8_20 = e3
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (572), (18105), (18107) are inconsistent by
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #579.
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18108) all_8_20 = e2 | all_8_20 = e1 | all_8_20 = e0
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18108) gives:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18109) all_8_20 = e2
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (572), (17949), (18109) are inconsistent by
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #616.
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18110) all_8_20 = e1 | all_8_20 = e0
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18110) gives:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18111) all_8_20 = e1
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (572), (17936), (18111) are inconsistent by
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #635.
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18112) all_8_20 = e0
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (572), (18112) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18113) all_4_16 = e0
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18113) implies:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18114) all_4_16 = e0
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (693), (18114) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18115) ~ (all_4_18 = e0)
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18115) implies:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18116) ~ (all_4_18 = e0)
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (696), (18114) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18117) ~ (all_4_24 = e0)
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15531), (18114) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18118) ~ (e4 = e0)
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17936), (18114) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18119) ~ (e1 = e0)
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18098), (18114) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18120) op(e0, e1) = e4
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18099), (18114) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18121) op(e1, e0) = e0
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_22, e4,
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, simplifying with (18), (18120) gives:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18122) all_4_22 = e4
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, e0, e0,
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (17120), (18121) gives:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18123) e4 = e0
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, e2, e3,
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (17107), (18106) gives:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18124) e4 = e2
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18123), (18124) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18125) e2 = e0
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18122), (18123) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18126) all_4_22 = e0
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (560), (18126) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18127) all_10_69 = e0
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11), (13), (420), (431), (435), (439),
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (448), (514), (518), (562), (612), (706), (715),
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (717), (721), (729), (765), (8424), (9341),
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13184), (15534), (15543), (15561), (17063),
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17101), (17104), (17118), (17128), (17131),
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18096), (18116), (18127) are inconsistent by
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #25.
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18128) ~ (all_12_6 = e3)
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (665), (18128) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18129) ~ (all_4_4 = e3)
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17959) gives:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18130) all_12_2 = e3
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (18083), (18130) are inconsistent by
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #651.
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18131) all_12_6 = e3 | all_12_12 = e3 | all_12_20 = e3
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18131) gives:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18132) all_12_6 = e3
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (18132) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18133) all_4_4 = e3
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18129), (18133) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18134) $false
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18134) is inconsistent.
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18135) all_12_12 = e3 | all_12_20 = e3
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18135) gives:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18136) all_12_12 = e3
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (17941), (18136) are inconsistent by
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #492.
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18137) all_12_20 = e3
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12), (448), (514), (518), (547), (562),
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (612), (657), (696), (709), (765), (8424), (9341),
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13184), (15543), (15561), (17118), (18079),
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18096), (18137) are inconsistent by sub-proof
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #23.
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18138) ~ (all_12_16 = e1)
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (659), (18138) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18139) ~ (all_4_17 = e1)
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (28), (494), (659), (666), (15550), (17919),
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17951), (18076), (18092), (18139),
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #243.
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18140) ~ (all_12_2 = e1)
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (486), (18140) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18141) ~ (all_4_1 = e1)
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17940) gives:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18142) all_12_2 = e1
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (18142) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18143) all_4_1 = e1
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18141), (18143) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18144) $false
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18144) is inconsistent.
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18145) all_12_6 = e1 | all_12_12 = e1 | all_12_20 = e1
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18145) gives:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18146) all_12_6 = e1
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (18146) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18147) all_4_4 = e1
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18080), (18147) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18148) op(e1, e2) = e4
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (17065), (18148), (function-axioms) are
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #693.
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18149) all_12_12 = e1 | all_12_20 = e1
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (657), (17936), (17941), (18149) are
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #85.
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18150) ~ (all_12_4 = e2)
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (498), (18150) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18151) ~ (all_4_5 = e2)
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (402) gives:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18152) all_12_0 = e2
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15585), (18152) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18153) e4 = e2
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13), (18153) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18154) $false
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18154) is inconsistent.
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18155) all_12_1 = e2 | all_12_4 = e2 | all_12_9 = e2 |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_16 = e2
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (374) gives:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18156) all_12_9 = e2
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (18156) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18157) all_4_10 = e2
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17951), (18157) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18158) op(e2, e2) = e4
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (17064), (18158), (function-axioms) are
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #736.
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18159) ~ (all_12_9 = e2)
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (494), (18159) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18160) ~ (all_4_10 = e2)
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18155) gives:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18161) all_12_1 = e2
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (18161) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18162) all_4_2 = e2
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18075), (18162) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18163) $false
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18163) is inconsistent.
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18164) all_12_4 = e2 | all_12_9 = e2 | all_12_16 = e2
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18164) gives:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18165) all_12_4 = e2
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (18165) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18166) all_4_5 = e2
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18151), (18166) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18167) $false
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18167) is inconsistent.
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18168) all_12_9 = e2 | all_12_16 = e2
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18168) gives:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18169) all_12_9 = e2
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (18169) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18170) all_4_10 = e2
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18160), (18170) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18171) $false
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18171) is inconsistent.
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18172) all_12_16 = e2
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (18172) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18173) all_4_17 = e2
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (758), (18173) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18174) ~ (all_4_21 = e2)
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18174) implies:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18175) ~ (all_4_21 = e2)
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (760), (18173) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18176) ~ (all_4_24 = e2)
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18176) implies:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18177) ~ (all_4_24 = e2)
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13184) gives:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18178) all_10_71 = e3
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (547), (18178) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18179) all_4_19 = e3
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18179) implies:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18180) all_4_19 = e3
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (470), (18180) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18181) all_12_17 = e3
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (763), (18180) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18182) ~ (all_4_24 = e3)
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18182) implies:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18183) ~ (all_4_24 = e3)
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9341) gives:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18184) all_8_24 = e3
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (612), (18183), (18184) are inconsistent by
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #267.
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18185) all_8_24 = e2 | all_8_24 = e1 | all_8_24 = e0
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18185) gives:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18186) all_8_24 = e2
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (612), (18177), (18186) are inconsistent by
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #274.
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18187) all_8_24 = e1 | all_8_24 = e0
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8423) gives:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18188) all_12_16 = e0
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18172), (18188) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18189) e2 = e0
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (18189) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18190) $false
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18190) is inconsistent.
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18191) ~ (all_12_16 = e0)
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18192) all_12_17 = e0 | all_12_18 = e0 | all_12_19 = e0
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18192) gives:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18193) all_12_17 = e0
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18181), (18193) imply:
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18194) e3 = e0
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (18194) imply:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18195) $false
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18195) is inconsistent.
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18196) all_12_18 = e0 | all_12_19 = e0
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18187) gives:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18197) all_8_24 = e1
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (612), (18197) imply:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18198) all_4_24 = e1
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18198) implies:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18199) all_4_24 = e1
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (756), (18199) imply:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18200) ~ (all_4_22 = e1)
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15534) gives:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18201) all_10_59 = e3
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (420), (18201) imply:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18202) all_4_18 = e3
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18202) implies:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18203) all_4_18 = e3
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (18203) imply:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18204) ~ (all_4_11 = e3)
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17131) gives:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18205) all_10_58 = e3
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (439), (18204), (18205) are inconsistent by
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #319.
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18206) all_10_63 = e2 | all_10_68 = e1 | all_10_73 = e0
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18206) gives:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18207) all_10_63 = e2
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (435), (17947), (18207) are inconsistent by
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #560.
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18208) all_10_68 = e1 | all_10_73 = e0
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18208) gives:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18209) all_10_68 = e1
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (18209) imply:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18210) all_4_15 = e1
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18210) implies:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18211) all_4_15 = e1
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (738), (18211) imply:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18212) ~ (all_4_13 = e1)
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15552), (18211) imply:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18213) ~ (e4 = e1)
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11), (12), (435), (448), (455), (514),
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (518), (547), (562), (658), (709), (728), (732),
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (761), (765), (13184), (15543), (15561), (17063),
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17070), (17098), (17115), (17118), (18196),
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18212) are inconsistent by sub-proof #21.
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18214) all_10_73 = e0
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (17118), (18214) are inconsistent by
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #464.
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18215) all_10_64 = e2 | all_10_69 = e1 | all_10_74 = e0
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (560), (562), (8424), (17063), (18200),
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18215) are inconsistent by sub-proof #168.
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18216) all_8_24 = e0
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (612), (8424), (18216) are inconsistent by
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #252.
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18217) all_10_72 = e2 | all_10_73 = e1 | all_10_74 = e0
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (448), (562), (8424), (17118), (18175),
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18217) are inconsistent by sub-proof #48.
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18218) ~ (all_12_12 = e2)
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (446), (18218) imply:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18219) ~ (all_4_9 = e2)
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (401) gives:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18220) all_12_0 = e2
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15585), (18220) imply:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18221) e4 = e2
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13), (18221) imply:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18222) $false
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18222) is inconsistent.
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18223) ~ (all_12_0 = e2)
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18224) all_12_2 = e2 | all_12_6 = e2 | all_12_12 = e2 |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_20 = e2
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (375) gives:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18225) all_12_9 = e3
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (18225) imply:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18226) all_4_10 = e3
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18226) implies:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18227) all_4_10 = e3
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (18227) imply:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18228) ~ (all_4_14 = e3)
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18228) implies:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18229) ~ (all_4_14 = e3)
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15548), (18227) imply:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18230) ~ (e4 = e3)
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (18227) imply:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18231) op(all_4_9, e3) = e4
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (56), (18227) imply:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18232) op(e3, all_4_9) = e1
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (782), (18227) imply:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18233) op(e3, e1) = all_10_3
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_10_3,
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (15557), (18233) gives:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18234) all_10_3 = e4
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (361) gives:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18235) all_12_20 = e3
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (18235) imply:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18236) all_4_16 = e3
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18236) implies:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18237) all_4_16 = e3
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (693), (18237) imply:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18238) ~ (all_4_18 = e3)
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18238) implies:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18239) ~ (all_4_18 = e3)
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (696), (18237) imply:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18240) ~ (all_4_24 = e3)
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18240) implies:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18241) ~ (all_4_24 = e3)
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15534) gives:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18242) all_10_59 = e3
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (420), (18239), (18242) are inconsistent by
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #280.
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18243) all_10_64 = e2 | all_10_69 = e1 | all_10_74 = e0
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18243) gives:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18244) all_10_64 = e2
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (17063), (18244) are inconsistent by
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #195.
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18245) all_10_69 = e1 | all_10_74 = e0
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18245) gives:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18246) all_10_69 = e1
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (560), (18246) imply:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18247) all_4_22 = e1
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18247) implies:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18248) all_4_22 = e1
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (754), (18248) imply:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18249) ~ (all_4_15 = e1)
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (756), (18248) imply:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18250) ~ (all_4_24 = e1)
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18250) implies:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18251) ~ (all_4_24 = e1)
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14778), (18248) imply:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18252) ~ (e4 = e1)
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15564) gives:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18253) all_10_66 = e3
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (15543), (18253) are inconsistent by
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #445.
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18254) all_10_67 = e2 | all_10_68 = e1 | all_10_69 = e0
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18254) gives:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18255) all_10_67 = e2
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (532), (18255) imply:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18256) all_4_14 = e2
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18256) implies:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18257) all_4_14 = e2
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (18257) imply:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18258) ~ (all_4_4 = e2)
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (753), (18257) imply:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18259) ~ (all_4_21 = e2)
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18259) implies:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18260) ~ (all_4_21 = e2)
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18229), (18257) imply:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18261) ~ (e3 = e2)
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18224) gives:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18262) all_12_2 = e2
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (18262) imply:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18263) all_4_1 = e2
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18263) implies:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18264) all_4_1 = e2
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (679), (18264) imply:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18265) ~ (all_4_7 = e2)
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18265) implies:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18266) ~ (all_4_7 = e2)
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12), (448), (514), (518), (547), (562),
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (612), (709), (765), (8424), (9341), (13184),
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15543), (15561), (17118), (18241), (18251),
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18260), (18266) are inconsistent by sub-proof
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #24.
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18267) all_12_6 = e2 | all_12_12 = e2 | all_12_20 = e2
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (446), (665), (18219), (18235), (18258),
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18267) are inconsistent by sub-proof #514.
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18268) all_10_68 = e1 | all_10_69 = e0
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (431), (562), (8424), (18245), (18249),
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18268) are inconsistent by sub-proof #179.
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18269) all_10_74 = e0
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (562), (8424), (18269) are inconsistent by
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #276.
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18270) ~ (all_12_20 = e3)
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (657), (18270) imply:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18271) ~ (all_4_16 = e3)
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (370) gives:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18272) all_12_12 = e3
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (18272) imply:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18273) all_4_9 = e3
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18273) implies:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18274) all_4_9 = e3
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18231), (18274) imply:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18275) op(e3, e3) = e4
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (15546), (18275), (function-axioms) are
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #704.
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18276) ~ (all_12_12 = e3)
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (446), (18276) imply:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18277) ~ (all_4_9 = e3)
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (403) gives:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18278) all_12_0 = e3
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15585), (18278) imply:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18279) e4 = e3
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (18279) imply:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18280) $false
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18280) is inconsistent.
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18281) all_12_2 = e3 | all_12_6 = e3 | all_12_12 = e3 |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_20 = e3
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18281) gives:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18282) all_12_2 = e3
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (18282) imply:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18283) all_4_1 = e3
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18283) implies:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18284) all_4_1 = e3
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (676), (18284) imply:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18285) ~ (all_4_9 = e3)
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (681), (18284) imply:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18286) ~ (all_4_19 = e3)
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18286) implies:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18287) ~ (all_4_19 = e3)
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13184) gives:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18288) all_10_71 = e3
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (547), (18287), (18288) are inconsistent by
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #96.
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18289) all_10_72 = e2 | all_10_73 = e1 | all_10_74 = e0
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18289) gives:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18290) all_10_72 = e2
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (448), (18290) imply:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18291) all_4_21 = e2
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18291) implies:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18292) all_4_21 = e2
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (687), (18292) imply:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18293) ~ (all_4_4 = e2)
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (736), (18292) imply:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18294) ~ (all_4_8 = e2)
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17125) gives:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18295) all_10_57 = e3
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (17101), (18295) are inconsistent by
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #239.
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18296) all_10_62 = e2 | all_10_67 = e1 | all_10_72 = e0
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18296) gives:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18297) all_10_62 = e2
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (455), (18294), (18297) are inconsistent by
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #365.
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18298) all_10_67 = e1 | all_10_72 = e0
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18298) gives:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18299) all_10_67 = e1
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (532), (18299) imply:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18300) all_4_14 = e1
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18300) implies:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18301) all_4_14 = e1
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (686), (18301) imply:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18302) ~ (all_4_4 = e1)
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18229), (18301) imply:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18303) ~ (e3 = e1)
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15611) gives:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18304) all_8_10 = e3
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (568), (18304) imply:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18305) all_4_4 = e3
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (18305) imply:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18306) all_12_6 = e3
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (32), (368), (446), (486), (570), (657),
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (676), (681), (15557), (15595), (15608), (17936),
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17940), (18219), (18232), (18277), (18306),
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #19.
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18307) all_8_10 = e2 | all_8_10 = e1 | all_8_10 = e0
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18307) gives:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18308) all_8_10 = e2
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (568), (18308) imply:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18309) all_4_4 = e2
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18293), (18309) imply:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18310) $false
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18310) is inconsistent.
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18311) all_8_10 = e1 | all_8_10 = e0
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (377) gives:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18312) all_12_6 = e0
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (18312) imply:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18313) all_4_4 = e0
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18313) implies:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18314) all_4_4 = e0
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (682), (18314) imply:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18315) ~ (all_4_9 = e0)
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18315) implies:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18316) ~ (all_4_9 = e0)
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (570), (15557), (15595), (15608), (18219),
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18232), (18277), (18316), (function-axioms) are
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #443.
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18317) ~ (all_12_6 = e0)
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (665), (18317) imply:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18318) ~ (all_4_4 = e0)
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (568), (18302), (18311), (18318) are inconsistent
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #656.
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18319) all_10_72 = e0
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (18290), (18319) are inconsistent by
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #277.
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18320) all_10_73 = e1 | all_10_74 = e0
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (562), (8424), (17118), (18320) are
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #73.
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18321) all_12_6 = e3 | all_12_12 = e3 | all_12_20 = e3
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18321) gives:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18322) all_12_6 = e3
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (32), (368), (446), (486), (570), (657),
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (676), (681), (15557), (15595), (15608), (17936),
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17940), (18219), (18232), (18277), (18322),
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #19.
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18323) all_12_12 = e3 | all_12_20 = e3
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18323) gives:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18324) all_12_12 = e3
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (18277), (18324) are inconsistent by
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #650.
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18325) all_12_20 = e3
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (657), (18271), (18325) are inconsistent by
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #649.
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18326) ~ (all_12_9 = e3)
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (494), (18326) imply:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18327) ~ (all_4_10 = e3)
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (404) gives:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18328) all_12_0 = e3
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15585), (18328) imply:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18329) e4 = e3
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (18329) imply:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18330) $false
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18330) is inconsistent.
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18331) ~ (all_12_0 = e3)
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18332) all_12_1 = e3 | all_12_4 = e3 | all_12_9 = e3 |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_16 = e3
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (390) gives:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18333) all_12_2 = e3
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (18333) imply:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18334) all_4_1 = e3
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18334) implies:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18335) all_4_1 = e3
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (679), (18335) imply:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18336) ~ (all_4_7 = e3)
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18336) implies:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18337) ~ (all_4_7 = e3)
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (681), (18335) imply:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18338) ~ (all_4_19 = e3)
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18338) implies:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18339) ~ (all_4_19 = e3)
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15545), (18335) imply:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18340) ~ (e4 = e3)
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13184) gives:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18341) all_10_71 = e3
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (547), (18339), (18341) are inconsistent by
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #96.
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18342) all_10_72 = e2 | all_10_73 = e1 | all_10_74 = e0
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18342) gives:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18343) all_10_72 = e2
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (448), (18343) imply:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18344) all_4_21 = e2
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18344) implies:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18345) all_4_21 = e2
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (736), (18345) imply:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18346) ~ (all_4_8 = e2)
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17098), (18345) imply:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18347) ~ (e4 = e2)
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17125) gives:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18348) all_10_57 = e3
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17101), (18348) imply:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18349) e4 = e3
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (18349) imply:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18350) $false
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18350) is inconsistent.
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18351) all_10_62 = e2 | all_10_67 = e1 | all_10_72 = e0
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18351) gives:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18352) all_10_62 = e2
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (455), (18346), (18352) are inconsistent by
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #365.
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18353) all_10_67 = e1 | all_10_72 = e0
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18353) gives:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18354) all_10_67 = e1
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (532), (18354) imply:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18355) all_4_14 = e1
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18355) implies:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18356) all_4_14 = e1
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (751), (18356) imply:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18357) ~ (all_4_15 = e1)
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18357) implies:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18358) ~ (all_4_15 = e1)
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (752), (18356) imply:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18359) ~ (all_4_22 = e1)
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18359) implies:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18360) ~ (all_4_22 = e1)
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15550), (18356) imply:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18361) ~ (e4 = e1)
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17131) gives:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18362) all_10_58 = e3
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (18362) imply:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18363) all_4_11 = e3
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (18363) imply:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18364) ~ (all_4_18 = e3)
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18364) implies:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18365) ~ (all_4_18 = e3)
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15534) gives:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18366) all_10_59 = e3
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (420), (18366) imply:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18367) all_4_18 = e3
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18365), (18367) imply:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18368) $false
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18368) is inconsistent.
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18369) all_10_64 = e2 | all_10_69 = e1 | all_10_74 = e0
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (560), (562), (8424), (17063), (18360),
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18369) are inconsistent by sub-proof #168.
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18370) all_10_63 = e2 | all_10_68 = e1 | all_10_73 = e0
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (12), (38), (420), (431), (435), (514),
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (518), (547), (560), (562), (586), (706), (729),
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (732), (8424), (15534), (15543), (15561), (15571),
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17063), (17065), (17106), (17118), (18327),
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18337), (18358), (18360), (18370),
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #18.
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18371) all_10_72 = e0
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12), (562), (8424), (17118), (18342),
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18371) are inconsistent by sub-proof #22.
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18372) all_10_73 = e1 | all_10_74 = e0
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (562), (8424), (17118), (18372) are
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #73.
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18373) ~ (all_12_2 = e3)
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18374) all_12_3 = e3 | all_12_5 = e3 | all_12_10 = e3 |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_17 = e3
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (486), (18373) imply:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18375) ~ (all_4_1 = e3)
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (403) gives:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18376) all_12_0 = e3
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15585), (18376) imply:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18377) e4 = e3
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (18377) imply:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18378) $false
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18378) is inconsistent.
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18379) all_12_2 = e3 | all_12_6 = e3 | all_12_12 = e3 |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_20 = e3
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (389) gives:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18380) all_12_2 = e2
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (18380) imply:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18381) all_4_1 = e2
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18381) implies:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18382) all_4_1 = e2
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (679), (18382) imply:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18383) ~ (all_4_7 = e2)
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18383) implies:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18384) ~ (all_4_7 = e2)
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (676), (18382) imply:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18385) ~ (all_4_9 = e2)
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (677), (18382) imply:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18386) ~ (all_4_16 = e2)
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18386) implies:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18387) ~ (all_4_16 = e2)
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15545), (18382) imply:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18388) ~ (e4 = e2)
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18375), (18382) imply:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18389) ~ (e3 = e2)
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (65), (18382) imply:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18390) op(e2, all_4_2) = e4
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (364) gives:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18391) all_12_16 = e2
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (18391) imply:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18392) all_4_17 = e2
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (758), (18392) imply:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18393) ~ (all_4_21 = e2)
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18393) implies:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18394) ~ (all_4_21 = e2)
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13184) gives:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18395) all_10_71 = e3
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (547), (18395) imply:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18396) all_4_19 = e3
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18396) implies:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18397) all_4_19 = e3
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (709), (18397) imply:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18398) ~ (all_4_3 = e3)
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12), (448), (514), (518), (562), (8424),
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13184), (15543), (15561), (17118), (18384),
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18394), (18398) are inconsistent by sub-proof
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #29.
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18399) all_10_72 = e2 | all_10_73 = e1 | all_10_74 = e0
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (448), (562), (8424), (17118), (18394),
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18399) are inconsistent by sub-proof #48.
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18400) ~ (all_12_16 = e2)
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (659), (18400) imply:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18401) ~ (all_4_17 = e2)
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (384) gives:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18402) all_12_4 = e2
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (18402) imply:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18403) all_4_5 = e2
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (701), (18403) imply:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18404) ~ (all_4_2 = e2)
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (723), (18403) imply:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18405) ~ (all_4_8 = e2)
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18405) implies:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18406) ~ (all_4_8 = e2)
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (726), (18403) imply:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18407) ~ (all_4_10 = e2)
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18407) implies:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18408) ~ (all_4_10 = e2)
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (724), (18403) imply:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18409) ~ (all_4_13 = e2)
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18409) implies:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18410) ~ (all_4_13 = e2)
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (365) gives:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18411) all_12_16 = e3
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (18411) imply:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18412) all_4_17 = e3
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (703), (18412) imply:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18413) ~ (all_4_2 = e3)
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (757), (18412) imply:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18414) ~ (all_4_19 = e3)
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18414) implies:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18415) ~ (all_4_19 = e3)
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13181), (18412) imply:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18416) ~ (e4 = e3)
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13184) gives:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18417) all_10_71 = e3
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (547), (18415), (18417) are inconsistent by
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #96.
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18418) all_10_72 = e2 | all_10_73 = e1 | all_10_74 = e0
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17125) gives:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18419) all_10_57 = e3
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17101), (18419) imply:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18420) e4 = e3
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (18420) imply:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18421) $false
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18421) is inconsistent.
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18422) all_10_62 = e2 | all_10_67 = e1 | all_10_72 = e0
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18422) gives:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18423) all_10_62 = e2
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (455), (18423) imply:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18424) all_4_8 = e2
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18406), (18424) imply:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18425) $false
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18425) is inconsistent.
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18426) all_10_67 = e1 | all_10_72 = e0
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18426) gives:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18427) all_10_67 = e1
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (532), (18427) imply:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18428) all_4_14 = e1
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18428) implies:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18429) all_4_14 = e1
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (18429) imply:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18430) ~ (all_4_10 = e1)
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17919) gives:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18431) all_12_1 = e1
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (18431) imply:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18432) all_4_2 = e1
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18390), (18432) imply:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18433) op(e2, e1) = e4
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (15550), (18433), (function-axioms) are
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #684.
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18434) ~ (all_12_1 = e1)
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (666), (18434) imply:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18435) ~ (all_4_2 = e1)
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (574), (594), (702), (15566), (15614), (18327),
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18404), (18408), (18413), (18430), (18435) are
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #423.
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18436) all_10_72 = e0
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12), (562), (8424), (17118), (18418),
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18436) are inconsistent by sub-proof #22.
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18437) ~ (all_12_16 = e3)
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (659), (18437) imply:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18438) ~ (all_4_17 = e3)
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18332) gives:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18439) all_12_1 = e3
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (18439) imply:
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18440) all_4_2 = e3
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.40/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (699), (18440) imply:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18441) ~ (all_4_11 = e3)
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18441) implies:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18442) ~ (all_4_11 = e3)
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (700), (18440) imply:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18443) ~ (all_4_18 = e3)
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18443) implies:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18444) ~ (all_4_18 = e3)
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (13), (420), (431), (435), (439), (560),
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (562), (754), (8424), (15534), (17063), (17118),
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17131), (18410), (18442), (18444) are
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #26.
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18445) all_12_4 = e3 | all_12_9 = e3 | all_12_16 = e3
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (494), (659), (18327), (18402), (18438),
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18445) are inconsistent by sub-proof #188.
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18446) ~ (all_12_4 = e2)
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (498), (18446) imply:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18447) ~ (all_4_5 = e2)
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (402) gives:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18448) all_12_0 = e2
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15585), (18448) imply:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18449) e4 = e2
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13), (18449) imply:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18450) $false
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18450) is inconsistent.
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18451) all_12_1 = e2 | all_12_4 = e2 | all_12_9 = e2 |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_16 = e2
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (394) gives:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18452) all_12_1 = e2
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (18452) imply:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18453) all_4_2 = e2
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18390), (18453) imply:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18454) op(e2, e2) = e4
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (17064), (18454), (function-axioms) are
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #736.
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18455) ~ (all_12_1 = e2)
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (666), (18455) imply:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18456) ~ (all_4_2 = e2)
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18451) gives:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18457) all_12_1 = e2
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (18457) imply:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18458) all_4_2 = e2
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18456), (18458) imply:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18459) $false
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18459) is inconsistent.
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18460) all_12_4 = e2 | all_12_9 = e2 | all_12_16 = e2
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18460) gives:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18461) all_12_4 = e2
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (18461) imply:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18462) all_4_5 = e2
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18447), (18462) imply:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18463) $false
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18463) is inconsistent.
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18464) all_12_9 = e2 | all_12_16 = e2
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18464) gives:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18465) all_12_9 = e2
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (18465) imply:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18466) all_4_10 = e2
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (746), (18466) imply:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18467) ~ (all_4_17 = e2)
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (18466) imply:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18468) op(all_4_9, e2) = e4
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (56), (18466) imply:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18469) op(e2, all_4_9) = e1
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (782), (18466) imply:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18470) op(e2, e1) = all_10_3
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_14,
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_3, e1, e2, simplifying with (28), (18470)
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18471) all_10_3 = all_4_14
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (393) gives:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18472) all_12_1 = e1
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (18472) imply:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18473) all_4_2 = e1
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18390), (18473) imply:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18474) op(e2, e1) = e4
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (15550), (18474), (function-axioms) are
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #684.
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18475) ~ (all_12_1 = e1)
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (666), (18475) imply:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18476) ~ (all_4_2 = e1)
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17919) gives:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18477) all_12_1 = e1
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (18477) imply:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18478) all_4_2 = e1
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18476), (18478) imply:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18479) $false
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18479) is inconsistent.
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18480) all_12_4 = e1 | all_12_9 = e1 | all_12_16 = e1
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18480) gives:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18481) all_12_4 = e1
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (18481) imply:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18482) all_4_5 = e1
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17914), (18482) imply:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18483) $false
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18483) is inconsistent.
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18484) all_12_9 = e1 | all_12_16 = e1
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18484) gives:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18485) all_12_9 = e1
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18465), (18485) imply:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18486) e2 = e1
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (18486) imply:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18487) $false
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18487) is inconsistent.
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18488) all_12_16 = e1
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (18488) imply:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18489) all_4_17 = e1
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (760), (18489) imply:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18490) ~ (all_4_24 = e1)
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18490) implies:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18491) ~ (all_4_24 = e1)
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18401), (18489) imply:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18492) ~ (e2 = e1)
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (378) gives:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18493) all_12_6 = e1
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (18493) imply:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18494) all_4_4 = e1
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (682), (18494) imply:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18495) ~ (all_4_9 = e1)
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18495) implies:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18496) ~ (all_4_9 = e1)
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (683), (18494) imply:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18497) ~ (all_4_16 = e1)
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15591), (18494) imply:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18498) ~ (e4 = e1)
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (361) gives:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18499) all_12_20 = e3
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12), (448), (514), (518), (547), (562),
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (612), (657), (696), (709), (765), (8424), (9341),
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13184), (15543), (15561), (17118), (18384),
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18491), (18499) are inconsistent by sub-proof
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #23.
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18500) ~ (all_12_20 = e3)
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (657), (18500) imply:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18501) ~ (all_4_16 = e3)
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15539) gives:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18502) all_8_20 = e3
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (572), (18502) imply:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18503) all_4_16 = e3
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18501), (18503) imply:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18504) $false
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18504) is inconsistent.
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18505) all_8_20 = e2 | all_8_20 = e1 | all_8_20 = e0
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18505) gives:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18506) all_8_20 = e2
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (572), (18506) imply:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18507) all_4_16 = e2
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18387), (18507) imply:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18508) $false
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18508) is inconsistent.
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18509) all_8_20 = e1 | all_8_20 = e0
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18509) gives:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18510) all_8_20 = e1
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (572), (18510) imply:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18511) all_4_16 = e1
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17936), (18511) imply:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18512) $false
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18512) is inconsistent.
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18513) all_8_20 = e0
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (572), (18513) imply:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18514) all_4_16 = e0
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (688), (18514) imply:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18515) ~ (all_4_9 = e0)
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15608) gives:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18516) all_8_15 = e3
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (570), (18516) imply:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18517) all_4_9 = e3
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18517) implies:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18518) all_4_9 = e3
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18469), (18518) imply:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18519) op(e2, e3) = e1
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (17107), (18519), (function-axioms) are
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #422.
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18520) all_8_15 = e2 | all_8_15 = e1 | all_8_15 = e0
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (570), (18219), (18496), (18515), (18520) are
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #728.
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18521) ~ (all_12_6 = e1)
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (665), (18521) imply:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18522) ~ (all_4_4 = e1)
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17940) gives:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18523) all_12_2 = e1
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18380), (18523) imply:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18524) e2 = e1
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (18524) imply:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18525) $false
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18525) is inconsistent.
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18526) all_12_6 = e1 | all_12_12 = e1 | all_12_20 = e1
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18526) gives:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18527) all_12_6 = e1
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (18527) imply:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18528) all_4_4 = e1
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18522), (18528) imply:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18529) $false
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18529) is inconsistent.
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18530) all_12_12 = e1 | all_12_20 = e1
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18530) gives:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18531) all_12_12 = e1
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (18531) imply:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18532) all_4_9 = e1
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18468), (18532) imply:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18533) op(e1, e2) = e4
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (17065), (18533), (function-axioms) are
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #693.
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18534) all_12_20 = e1
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (18534) imply:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18535) all_4_16 = e1
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17936), (18535) imply:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18536) $false
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18536) is inconsistent.
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18537) all_12_16 = e2
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (18537) imply:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18538) all_4_17 = e2
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18401), (18538) imply:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18539) $false
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18539) is inconsistent.
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18540) ~ (all_12_2 = e2)
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (486), (18540) imply:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18541) ~ (all_4_1 = e2)
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (370) gives:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18542) all_12_12 = e3
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (18542) imply:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18543) all_4_9 = e3
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18543) implies:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18544) all_4_9 = e3
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (682), (18544) imply:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18545) ~ (all_4_4 = e3)
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (689), (18544) imply:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18546) ~ (all_4_11 = e3)
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18546) implies:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18547) ~ (all_4_11 = e3)
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (691), (18544) imply:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18548) ~ (all_4_15 = e3)
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18548) implies:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18549) ~ (all_4_15 = e3)
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (18544) imply:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18550) op(e3, all_4_10) = e4
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (56), (18544) imply:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18551) op(all_4_10, e3) = e1
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (380) gives:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18552) all_12_6 = e3
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (18552) imply:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18553) all_4_4 = e3
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18545), (18553) imply:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18554) $false
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18554) is inconsistent.
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.75/27.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18555) all_12_7 = e3 | all_12_8 = e3 | all_12_11 = e3 |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_18 = e3
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (395) gives:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18556) all_12_1 = e3
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (18556) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18557) all_4_2 = e3
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (702), (18557) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18558) ~ (all_4_10 = e3)
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (700), (18557) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18559) ~ (all_4_18 = e3)
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18559) implies:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18560) ~ (all_4_18 = e3)
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15589), (18557) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18561) ~ (e4 = e3)
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11), (13), (14), (52), (374), (375), (414),
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (420), (431), (435), (439), (454), (494), (560),
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (562), (594), (600), (660), (738), (743), (744),
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (745), (751), (754), (8424), (14778), (15534),
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15544), (15566), (15579), (17063), (17118),
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17131), (18327), (18547), (18549), (18550),
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18560), (function-axioms) are inconsistent by
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #44.
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18562) ~ (all_12_1 = e3)
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (666), (18562) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18563) ~ (all_4_2 = e3)
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (385) gives:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18564) all_12_4 = e3
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (18564) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18565) all_4_5 = e3
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (722), (18565) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18566) ~ (all_4_7 = e3)
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18566) implies:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18567) ~ (all_4_7 = e3)
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (726), (18565) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18568) ~ (all_4_10 = e3)
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (373) gives:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18569) all_12_9 = e1
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (18569) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18570) all_4_10 = e1
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (18570) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18571) ~ (all_4_15 = e1)
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18571) implies:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18572) ~ (all_4_15 = e1)
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (745), (18570) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18573) ~ (all_4_22 = e1)
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18573) implies:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18574) ~ (all_4_22 = e1)
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15548), (18570) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18575) ~ (e4 = e1)
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17131) gives:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18576) all_10_58 = e3
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (18576) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18577) all_4_11 = e3
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18547), (18577) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18578) $false
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18578) is inconsistent.
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18579) all_10_63 = e2 | all_10_68 = e1 | all_10_73 = e0
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (12), (38), (420), (431), (435), (514),
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (518), (547), (560), (562), (586), (706), (729),
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (732), (8424), (15534), (15543), (15561), (15571),
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17063), (17065), (17106), (17118), (18327),
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18567), (18572), (18574), (18579),
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #18.
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18580) ~ (all_12_9 = e1)
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (494), (18580) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18581) ~ (all_4_10 = e1)
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (374) gives:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18582) all_12_9 = e2
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (18582) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18583) all_4_10 = e2
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18551), (18583) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18584) op(e2, e3) = e1
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, e1, e3,
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (17107), (18584) gives:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18585) e4 = e1
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (18585) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18586) $false
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18586) is inconsistent.
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18587) ~ (all_12_9 = e2)
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (494), (18587) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18588) ~ (all_4_10 = e2)
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (594), (12555), (15566), (18327), (18550),
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18581), (18588), (function-axioms) are
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #483.
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18589) ~ (all_12_4 = e3)
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (498), (18589) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18590) ~ (all_4_5 = e3)
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18332) gives:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18591) all_12_1 = e3
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (18591) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18592) all_4_2 = e3
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18563), (18592) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18593) $false
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18593) is inconsistent.
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18594) all_12_4 = e3 | all_12_9 = e3 | all_12_16 = e3
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18594) gives:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18595) all_12_4 = e3
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (18595) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18596) all_4_5 = e3
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18590), (18596) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18597) $false
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18597) is inconsistent.
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18598) all_12_9 = e3 | all_12_16 = e3
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18598) gives:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18599) all_12_9 = e3
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (18599) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18600) all_4_10 = e3
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18327), (18600) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18601) $false
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18601) is inconsistent.
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18602) all_12_16 = e3
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (18602) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18603) all_4_17 = e3
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (757), (18603) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18604) ~ (all_4_19 = e3)
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18604) implies:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18605) ~ (all_4_19 = e3)
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (758), (18603) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18606) ~ (all_4_21 = e3)
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18606) implies:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18607) ~ (all_4_21 = e3)
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (760), (18603) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18608) ~ (all_4_24 = e3)
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18608) implies:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18609) ~ (all_4_24 = e3)
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13184) gives:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18610) all_10_71 = e3
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (547), (18605), (18610) are inconsistent by
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #96.
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18611) ~ (all_10_71 = e3)
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18612) all_10_72 = e2 | all_10_73 = e1 | all_10_74 = e0
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18612) gives:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18613) all_10_72 = e2
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (448), (18613) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18614) all_4_21 = e2
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18614) implies:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18615) all_4_21 = e2
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (658), (18615) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18616) all_12_18 = e2
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (687), (18615) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18617) ~ (all_4_4 = e2)
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (736), (18615) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18618) ~ (all_4_8 = e2)
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18607), (18615) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18619) ~ (e3 = e2)
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18224) gives:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18620) all_12_2 = e2
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (18620) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18621) all_4_1 = e2
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18541), (18621) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18622) $false
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18622) is inconsistent.
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18623) all_12_6 = e2 | all_12_12 = e2 | all_12_20 = e2
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18623) gives:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18624) all_12_6 = e2
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (18624) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18625) all_4_4 = e2
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18617), (18625) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18626) $false
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18626) is inconsistent.
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18627) all_12_12 = e2 | all_12_20 = e2
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18627) gives:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18628) all_12_12 = e2
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18542), (18628) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18629) e3 = e2
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (18629) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18630) $false
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18630) is inconsistent.
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18631) all_12_20 = e2
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (18631) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18632) all_4_16 = e2
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (693), (18632) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18633) ~ (all_4_18 = e2)
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18633) implies:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18634) ~ (all_4_18 = e2)
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (696), (18632) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18635) ~ (all_4_24 = e2)
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18635) implies:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18636) ~ (all_4_24 = e2)
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15531), (18632) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18637) ~ (e4 = e2)
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9341) gives:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18638) all_8_24 = e3
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (612), (18609), (18638) are inconsistent by
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #267.
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18639) all_8_24 = e2 | all_8_24 = e1 | all_8_24 = e0
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18639) gives:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18640) all_8_24 = e2
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (612), (18636), (18640) are inconsistent by
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #274.
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18641) all_8_24 = e1 | all_8_24 = e0
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18641) gives:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18642) all_8_24 = e1
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (612), (18642) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18643) all_4_24 = e1
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18643) implies:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18644) all_4_24 = e1
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (721), (18644) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18645) ~ (all_4_18 = e1)
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (756), (18644) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18646) ~ (all_4_22 = e1)
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15534) gives:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18647) all_10_59 = e3
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (420), (18647) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18648) all_4_18 = e3
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18648) implies:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18649) all_4_18 = e3
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (706), (18649) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18650) ~ (all_4_3 = e3)
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17057), (18649) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18651) ~ (e4 = e3)
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18374) gives:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18652) all_12_3 = e3
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (482), (18652) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18653) all_4_3 = e3
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18650), (18653) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18654) $false
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18654) is inconsistent.
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18655) all_12_5 = e3 | all_12_10 = e3 | all_12_17 = e3
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18555) gives:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18656) all_12_7 = e3
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17099), (18656) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18657) e4 = e3
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (18657) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18658) $false
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18658) is inconsistent.
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18659) ~ (all_12_7 = e3)
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18660) all_12_8 = e3 | all_12_11 = e3 | all_12_18 = e3
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18660) gives:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18661) all_12_8 = e3
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (664), (18661) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18662) all_4_8 = e3
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18662) implies:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18663) all_4_8 = e3
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (728), (18663) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18664) ~ (all_4_7 = e3)
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (470), (478), (15544), (18605), (18655),
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18664) are inconsistent by sub-proof #42.
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18665) all_12_11 = e3 | all_12_18 = e3
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17125) gives:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18666) all_10_57 = e3
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (17101), (18666) are inconsistent by
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #239.
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18667) all_10_62 = e2 | all_10_67 = e1 | all_10_72 = e0
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18667) gives:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18668) all_10_62 = e2
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (455), (18618), (18668) are inconsistent by
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #365.
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18669) all_10_67 = e1 | all_10_72 = e0
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18665) gives:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18670) all_12_11 = e3
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (454), (18670) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18671) all_4_14 = e3
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18671) implies:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18672) all_4_14 = e3
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (532), (18672) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18673) all_10_67 = e3
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (18613), (18669), (18673) are
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #238.
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18674) all_12_18 = e3
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18616), (18674) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18675) e3 = e2
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (18675) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18676) $false
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18676) is inconsistent.
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18677) all_10_64 = e2 | all_10_69 = e1 | all_10_74 = e0
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (560), (562), (8424), (17063), (18646),
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18677) are inconsistent by sub-proof #168.
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18678) all_8_24 = e0
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (612), (8424), (18678) are inconsistent by
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #252.
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18679) all_10_73 = e1 | all_10_74 = e0
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (562), (8424), (17118), (18679) are
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #73.
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18680) ~ (all_12_12 = e3)
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18681) all_12_13 = e3 | all_12_14 = e3 | all_12_15 = e3 |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_19 = e3
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (446), (18680) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18682) ~ (all_4_9 = e3)
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (388) gives:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18683) all_12_2 = e1
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (18683) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18684) all_4_1 = e1
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18684) implies:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18685) all_4_1 = e1
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (676), (18685) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18686) ~ (all_4_9 = e1)
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18686) implies:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18687) ~ (all_4_9 = e1)
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18375), (18685) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18688) ~ (e3 = e1)
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (65), (18685) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18689) op(e1, all_4_2) = e4
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15608) gives:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18690) all_8_15 = e3
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (570), (18690) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18691) all_4_9 = e3
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18682), (18691) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18692) $false
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18692) is inconsistent.
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18693) ~ (all_8_15 = e3)
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18694) all_8_15 = e2 | all_8_15 = e1 | all_8_15 = e0
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18694) gives:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18695) all_8_15 = e2
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (570), (18695) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18696) all_4_9 = e2
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18219), (18696) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18697) $false
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18697) is inconsistent.
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18698) all_8_15 = e1 | all_8_15 = e0
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18698) gives:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18699) all_8_15 = e1
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (570), (18699) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18700) all_4_9 = e1
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18687), (18700) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18701) $false
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18701) is inconsistent.
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18702) all_8_15 = e0
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (570), (18702) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18703) all_4_9 = e0
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (18703) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18704) all_12_12 = e0
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (682), (18703) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18705) ~ (all_4_4 = e0)
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (690), (18703) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18706) ~ (all_4_13 = e0)
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18706) implies:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18707) ~ (all_4_13 = e0)
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (688), (18703) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18708) ~ (all_4_16 = e0)
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18708) implies:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18709) ~ (all_4_16 = e0)
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15595), (18703) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18710) ~ (e4 = e0)
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18682), (18703) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18711) ~ (e3 = e0)
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18687), (18703) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18712) ~ (e1 = e0)
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (18703) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18713) op(e0, all_4_10) = e4
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (363) gives:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18714) all_12_16 = e1
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (18714) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18715) all_4_17 = e1
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18715) implies:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18716) all_4_17 = e1
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (703), (18716) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18717) ~ (all_4_2 = e1)
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (760), (18716) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18718) ~ (all_4_24 = e1)
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18718) implies:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18719) ~ (all_4_24 = e1)
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (796), (18716) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18720) op(e4, e1) = all_10_29
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_10,
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_29, e1, e4, simplifying with (38), (18720)
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18721) all_10_29 = all_4_10
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (382) gives:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18722) all_12_4 = e0
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (18722) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18723) all_4_5 = e0
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18723) implies:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18724) all_4_5 = e0
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (722), (18724) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18725) ~ (all_4_7 = e0)
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18725) implies:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18726) ~ (all_4_7 = e0)
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18332) gives:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18727) all_12_1 = e3
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (18727) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18728) all_4_2 = e3
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (702), (18728) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18729) ~ (all_4_10 = e3)
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (699), (18728) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18730) ~ (all_4_11 = e3)
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18730) implies:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18731) ~ (all_4_11 = e3)
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (700), (18728) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18732) ~ (all_4_18 = e3)
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18732) implies:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18733) ~ (all_4_18 = e3)
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15589), (18728) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18734) ~ (e4 = e3)
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15534) gives:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18735) all_10_59 = e3
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (420), (18733), (18735) are inconsistent by
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #280.
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18736) all_10_64 = e2 | all_10_69 = e1 | all_10_74 = e0
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18736) gives:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18737) all_10_64 = e2
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (17063), (18737) are inconsistent by
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #195.
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18738) all_10_69 = e1 | all_10_74 = e0
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18738) gives:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18739) all_10_69 = e1
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (560), (18739) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18740) all_4_22 = e1
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18740) implies:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18741) all_4_22 = e1
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (752), (18741) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18742) ~ (all_4_14 = e1)
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (754), (18741) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18743) ~ (all_4_15 = e1)
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14778), (18741) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18744) ~ (e4 = e1)
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17131) gives:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18745) all_10_58 = e3
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (439), (18731), (18745) are inconsistent by
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #319.
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18746) all_10_63 = e2 | all_10_68 = e1 | all_10_73 = e0
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18746) gives:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18747) all_10_63 = e2
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (435), (18747) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18748) all_4_13 = e2
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18748) implies:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18749) all_4_13 = e2
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (729), (18749) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18750) ~ (all_4_7 = e2)
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (733), (18749) imply:
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18751) ~ (all_4_8 = e2)
% 181.75/27.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17125) gives:
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18752) all_10_57 = e3
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (17101), (18752) are inconsistent by
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #239.
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18753) all_10_62 = e2 | all_10_67 = e1 | all_10_72 = e0
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18753) gives:
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18754) all_10_62 = e2
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (455), (18751), (18754) are inconsistent by
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #365.
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18755) all_10_67 = e1 | all_10_72 = e0
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17070) gives:
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18756) all_10_61 = e3
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (518), (18756) imply:
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18757) all_4_7 = e3
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18757) implies:
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18758) all_4_7 = e3
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (732), (18758) imply:
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18759) ~ (all_4_19 = e3)
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18759) implies:
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18760) ~ (all_4_19 = e3)
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18755) gives:
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18761) all_10_67 = e1
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (532), (18742), (18761) are inconsistent by
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #394.
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18762) all_10_72 = e0
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (448), (18762) imply:
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18763) all_4_21 = e0
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18763) implies:
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18764) all_4_21 = e0
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (765), (18764) imply:
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18765) ~ (all_4_24 = e0)
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12), (547), (562), (8424), (13184), (17118),
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18760), (18762) are inconsistent by sub-proof
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #17.
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18766) ~ (all_10_61 = e3)
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (518), (18766) imply:
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18767) ~ (all_4_7 = e3)
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (586), (15571), (17106), (18327), (18726),
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18750), (18767), (function-axioms) are
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #233.
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18768) all_10_68 = e1 | all_10_73 = e0
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (431), (17118), (18743), (18768) are
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #377.
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18769) all_10_74 = e0
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (562), (8424), (18769) are inconsistent by
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #276.
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18770) all_12_4 = e3 | all_12_9 = e3 | all_12_16 = e3
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18770) gives:
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.75/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18771) all_12_4 = e3
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18722), (18771) imply:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18772) e3 = e0
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (18772) imply:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18773) $false
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18773) is inconsistent.
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18774) all_12_9 = e3 | all_12_16 = e3
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18774) gives:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18775) all_12_9 = e3
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (494), (18327), (18775) are inconsistent by
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #338.
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18776) all_12_16 = e3
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (18714), (18776) are inconsistent by
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #366.
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18777) ~ (all_12_4 = e0)
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (498), (18777) imply:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18778) ~ (all_4_5 = e0)
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (398) gives:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18779) all_12_0 = e0
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15585), (18779) imply:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18780) e4 = e0
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (18780) imply:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18781) $false
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18781) is inconsistent.
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18782) all_12_1 = e0 | all_12_4 = e0 | all_12_9 = e0 |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_16 = e0
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (372) gives:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18783) all_12_9 = e0
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (494), (9342), (18713), (18783),
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #41.
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18784) ~ (all_12_9 = e0)
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (494), (18784) imply:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18785) ~ (all_4_10 = e0)
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18782) gives:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18786) all_12_1 = e0
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (18786) imply:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18787) all_4_2 = e0
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (700), (18787) imply:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18788) ~ (all_4_18 = e0)
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18788) implies:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18789) ~ (all_4_18 = e0)
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8422) gives:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18790) all_12_20 = e0
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (657), (18709), (18790) are inconsistent by
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #106.
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18791) all_12_21 = e0 | all_12_22 = e0 | all_12_23 = e0
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18791) gives:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18792) all_12_21 = e0
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (656), (18789), (18792) are inconsistent by
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #40.
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18793) all_12_22 = e0 | all_12_23 = e0
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18793) gives:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18794) all_12_22 = e0
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (17060), (18794) are inconsistent by
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #39.
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18795) all_12_23 = e0
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (414), (18795) imply:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18796) all_4_22 = e0
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18796) implies:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18797) all_4_22 = e0
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (560), (18797) imply:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18798) all_10_69 = e0
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (756), (18797) imply:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18799) ~ (all_4_24 = e0)
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11), (13), (420), (431), (435), (439),
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (448), (514), (518), (562), (612), (706), (715),
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (717), (721), (729), (765), (8424), (9341),
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13184), (15534), (15543), (15561), (17063),
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17101), (17104), (17118), (17128), (17131),
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18719), (18789), (18798) are inconsistent by
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #25.
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18800) all_12_4 = e0 | all_12_9 = e0 | all_12_16 = e0
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18800) gives:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18801) all_12_4 = e0
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (18801) imply:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18802) all_4_5 = e0
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18778), (18802) imply:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18803) $false
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18803) is inconsistent.
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18804) all_12_9 = e0 | all_12_16 = e0
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18804) gives:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18805) all_12_9 = e0
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (494), (18785), (18805) are inconsistent by
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #466.
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18806) all_12_16 = e0
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18714), (18806) imply:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18807) e1 = e0
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (18807) imply:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18808) $false
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18808) is inconsistent.
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18809) ~ (all_12_16 = e1)
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (659), (18809) imply:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18810) ~ (all_4_17 = e1)
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (393) gives:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18811) all_12_1 = e1
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (18811) imply:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18812) all_4_2 = e1
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18689), (18812) imply:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18813) op(e1, e1) = e4
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (15552), (18813), (function-axioms) are
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #705.
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18814) ~ (all_12_1 = e1)
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (666), (18814) imply:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18815) ~ (all_4_2 = e1)
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17919) gives:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18816) all_12_1 = e1
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (18816) imply:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18817) all_4_2 = e1
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18815), (18817) imply:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18818) $false
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18818) is inconsistent.
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18819) all_12_4 = e1 | all_12_9 = e1 | all_12_16 = e1
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18819) gives:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18820) all_12_4 = e1
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (17914), (18820) are inconsistent by
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #279.
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18821) all_12_9 = e1 | all_12_16 = e1
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18821) gives:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18822) all_12_9 = e1
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (18822) imply:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18823) all_4_10 = e1
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18823) implies:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18824) all_4_10 = e1
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (746), (18824) imply:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18825) ~ (all_4_17 = e1)
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (745), (18824) imply:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18826) ~ (all_4_22 = e1)
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18826) implies:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18827) ~ (all_4_22 = e1)
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15534) gives:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18828) all_10_59 = e3
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (420), (18828) imply:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18829) all_4_18 = e3
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18829) implies:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18830) all_4_18 = e3
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (656), (18830) imply:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18831) all_12_21 = e3
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (706), (18830) imply:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18832) ~ (all_4_3 = e3)
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (18830) imply:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18833) ~ (all_4_11 = e3)
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (693), (18830) imply:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18834) ~ (all_4_16 = e3)
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (720), (18830) imply:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18835) ~ (all_4_22 = e3)
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18835) implies:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18836) ~ (all_4_22 = e3)
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8422) gives:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18837) all_12_20 = e0
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (657), (18709), (18837) are inconsistent by
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #106.
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18838) all_12_21 = e0 | all_12_22 = e0 | all_12_23 = e0
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17128) gives:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18839) all_10_56 = e3
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (514), (18839) imply:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18840) all_4_3 = e3
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18832), (18840) imply:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18841) $false
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18841) is inconsistent.
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18842) ~ (all_10_56 = e3)
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18843) all_10_57 = e2 | all_10_58 = e1 | all_10_59 = e0
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18379) gives:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18844) all_12_2 = e3
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18683), (18844) imply:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18845) e3 = e1
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (18845) imply:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18846) $false
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18846) is inconsistent.
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18847) all_12_6 = e3 | all_12_12 = e3 | all_12_20 = e3
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18847) gives:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18848) all_12_6 = e3
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (18848) imply:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18849) all_4_4 = e3
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18849) implies:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18850) all_4_4 = e3
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (687), (18850) imply:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18851) ~ (all_4_21 = e3)
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18851) implies:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18852) ~ (all_4_21 = e3)
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15591), (18850) imply:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18853) ~ (e4 = e3)
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18843) gives:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18854) all_10_57 = e2
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17101), (18854) imply:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18855) e4 = e2
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13), (18855) imply:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18856) $false
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18856) is inconsistent.
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18857) all_10_58 = e1 | all_10_59 = e0
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18857) gives:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18858) all_10_58 = e1
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (18858) imply:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18859) all_4_11 = e1
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18859) implies:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18860) all_4_11 = e1
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (662), (18860) imply:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18861) all_12_13 = e1
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (18860) imply:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18862) ~ (all_4_13 = e1)
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18862) implies:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18863) ~ (all_4_13 = e1)
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (717), (18860) imply:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18864) ~ (all_4_15 = e1)
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18864) implies:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18865) ~ (all_4_15 = e1)
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17104), (18860) imply:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18866) ~ (e4 = e1)
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17131) gives:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18867) all_10_58 = e3
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18858), (18867) imply:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18868) e3 = e1
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (18868) imply:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18869) $false
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18869) is inconsistent.
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18870) ~ (all_10_58 = e3)
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18871) all_10_63 = e2 | all_10_68 = e1 | all_10_73 = e0
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18871) gives:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18872) all_10_63 = e2
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (435), (18872) imply:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18873) all_4_13 = e2
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18873) implies:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18874) all_4_13 = e2
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (661), (18874) imply:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18875) all_12_14 = e2
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (729), (18874) imply:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18876) ~ (all_4_7 = e2)
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (738), (18874) imply:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18877) ~ (all_4_15 = e2)
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18877) implies:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18878) ~ (all_4_15 = e2)
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18681) gives:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18879) all_12_13 = e3
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18861), (18879) imply:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18880) e3 = e1
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (18880) imply:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18881) $false
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18881) is inconsistent.
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18882) all_12_14 = e3 | all_12_15 = e3 | all_12_19 = e3
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15561) gives:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18883) all_10_56 = e3
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (514), (18883) imply:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18884) all_4_3 = e3
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18832), (18884) imply:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18885) $false
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18885) is inconsistent.
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18886) all_10_61 = e2 | all_10_66 = e1 | all_10_71 = e0
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18838) gives:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18887) all_12_21 = e0
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (18831), (18887) are inconsistent by
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #258.
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18888) all_12_22 = e0 | all_12_23 = e0
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18888) gives:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18889) all_12_22 = e0
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (17060), (18889) are inconsistent by
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #39.
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18890) all_12_23 = e0
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (414), (18890) imply:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18891) all_4_22 = e0
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18891) implies:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18892) all_4_22 = e0
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (374) gives:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18893) all_12_9 = e2
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (659), (18810), (18821), (18893) are
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #94.
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18894) all_12_10 = e2 | all_12_11 = e2 | all_12_15 = e2 |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_12_23 = e2
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13184) gives:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18895) all_10_71 = e3
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12), (518), (15543), (18876), (18886),
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18895) are inconsistent by sub-proof #68.
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18896) all_10_72 = e2 | all_10_73 = e1 | all_10_74 = e0
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18896) gives:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18897) all_10_72 = e2
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (448), (18897) imply:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18898) all_4_21 = e2
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18898) implies:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18899) all_4_21 = e2
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (753), (18899) imply:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18900) ~ (all_4_14 = e2)
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17098), (18899) imply:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18901) ~ (e4 = e2)
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18852), (18899) imply:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18902) ~ (e3 = e2)
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18894) gives:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18903) all_12_10 = e2
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (15544), (18903) are inconsistent by
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #320.
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18904) all_12_11 = e2 | all_12_15 = e2 | all_12_23 = e2
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15579) gives:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18905) all_8_18 = e3
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (600), (18905) imply:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18906) all_4_15 = e3
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18906) implies:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18907) all_4_15 = e3
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (660), (18907) imply:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18908) all_12_15 = e3
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10), (454), (18890), (18900), (18904),
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18908) are inconsistent by sub-proof #232.
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18909) ~ (all_8_18 = e3)
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (14), (600), (660), (17115), (18875),
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18882), (18909) are inconsistent by sub-proof
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #34.
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18910) all_10_73 = e1 | all_10_74 = e0
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (562), (8424), (17118), (18910) are
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #73.
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18911) all_10_68 = e1 | all_10_73 = e0
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (431), (17118), (18865), (18911) are
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #377.
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18912) all_10_59 = e0
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (18828), (18912) are inconsistent by
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #33.
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18913) all_12_12 = e3 | all_12_20 = e3
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (657), (18704), (18834), (18913) are
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #16.
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18914) all_10_64 = e2 | all_10_69 = e1 | all_10_74 = e0
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (560), (562), (8424), (17063), (18827),
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18914) are inconsistent by sub-proof #168.
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18915) all_12_16 = e1
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (659), (18810), (18915) are inconsistent by
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #203.
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18916) ~ (all_12_2 = e1)
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (486), (18916) imply:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18917) ~ (all_4_1 = e1)
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15574) gives:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18918) all_8_5 = e3
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (566), (18918) imply:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18919) all_4_1 = e3
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18375), (18919) imply:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18920) $false
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18920) is inconsistent.
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18921) all_8_5 = e2 | all_8_5 = e1 | all_8_5 = e0
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18921) gives:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18922) all_8_5 = e2
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (566), (18922) imply:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18923) all_4_1 = e2
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18541), (18923) imply:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18924) $false
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18924) is inconsistent.
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18925) ~ (all_8_5 = e2)
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18926) all_8_5 = e1 | all_8_5 = e0
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18926) gives:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18927) all_8_5 = e1
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (566), (18927) imply:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18928) all_4_1 = e1
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18917), (18928) imply:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18929) $false
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18929) is inconsistent.
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18930) all_8_5 = e0
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (566), (18930) imply:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18931) all_4_1 = e0
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (676), (18931) imply:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18932) ~ (all_4_9 = e0)
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18932) implies:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18933) ~ (all_4_9 = e0)
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (681), (18931) imply:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18934) ~ (all_4_19 = e0)
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18934) implies:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18935) ~ (all_4_19 = e0)
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15545), (18931) imply:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18936) ~ (e4 = e0)
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18541), (18931) imply:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18937) ~ (e2 = e0)
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (64), (18931) imply:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18938) op(all_4_2, e0) = e3
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15608) gives:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18939) all_8_15 = e3
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (570), (18939) imply:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18940) all_4_9 = e3
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18682), (18940) imply:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18941) $false
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18941) is inconsistent.
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18942) all_8_15 = e2 | all_8_15 = e1 | all_8_15 = e0
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18942) gives:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18943) all_8_15 = e2
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (570), (18943) imply:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18944) all_4_9 = e2
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18219), (18944) imply:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18945) $false
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18945) is inconsistent.
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18946) all_8_15 = e1 | all_8_15 = e0
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18946) gives:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18947) all_8_15 = e1
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (570), (18947) imply:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18948) all_4_9 = e1
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (690), (18948) imply:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18949) ~ (all_4_13 = e1)
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18949) implies:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18950) ~ (all_4_13 = e1)
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (18948) imply:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18951) op(e1, all_4_10) = e4
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (807), (18948) imply:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18952) op(e1, e1) = all_10_40
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_15,
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_40, e1, e1, simplifying with (23), (18952)
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18953) all_10_40 = all_4_15
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (393) gives:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18954) all_12_1 = e1
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (18954) imply:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18955) all_4_2 = e1
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18938), (18955) imply:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18956) op(e1, e0) = e3
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, e3, e0,
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (17120), (18956) gives:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18957) e4 = e3
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (18957) imply:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18958) $false
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18958) is inconsistent.
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18959) ~ (all_12_1 = e1)
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (666), (18959) imply:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18960) ~ (all_4_2 = e1)
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (373) gives:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18961) all_12_9 = e1
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (18961) imply:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18962) all_4_10 = e1
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18951), (18962) imply:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18963) op(e1, e1) = e4
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (15552), (18963), (function-axioms) are
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #705.
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18964) ~ (all_12_9 = e1)
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (494), (18964) imply:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18965) ~ (all_4_10 = e1)
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17919) gives:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18966) all_12_1 = e1
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (666), (18966) imply:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18967) all_4_2 = e1
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18960), (18967) imply:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18968) $false
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18968) is inconsistent.
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18969) all_12_4 = e1 | all_12_9 = e1 | all_12_16 = e1
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18969) gives:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18970) all_12_4 = e1
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (18970) imply:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18971) all_4_5 = e1
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17914), (18971) imply:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18972) $false
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18972) is inconsistent.
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18973) all_12_9 = e1 | all_12_16 = e1
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18973) gives:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18974) all_12_9 = e1
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (18974) imply:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18975) all_4_10 = e1
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18965), (18975) imply:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18976) $false
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18976) is inconsistent.
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18977) all_12_16 = e1
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (18977) imply:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18978) all_4_17 = e1
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13181), (18978) imply:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18979) ~ (e4 = e1)
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8423) gives:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18980) all_12_16 = e0
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18977), (18980) imply:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18981) e1 = e0
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (18981) imply:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18982) $false
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18982) is inconsistent.
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18983) all_12_17 = e0 | all_12_18 = e0 | all_12_19 = e0
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18983) gives:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18984) all_12_17 = e0
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (470), (18984) imply:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18985) all_4_19 = e0
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18935), (18985) imply:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18986) $false
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18986) is inconsistent.
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18987) all_12_18 = e0 | all_12_19 = e0
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11), (12), (435), (448), (455), (514),
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (518), (547), (562), (658), (709), (728), (732),
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (761), (765), (13184), (15543), (15561), (17063),
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17070), (17098), (17115), (17118), (18950),
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18987) are inconsistent by sub-proof #21.
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18988) all_8_15 = e0
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (570), (18988) imply:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18989) all_4_9 = e0
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18933), (18989) imply:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18990) $false
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18990) is inconsistent.
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18991) all_12_8 = e4 | all_12_11 = e4 | all_12_18 = e4
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (454), (658), (664), (15550), (17064), (17098),
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18991) are inconsistent by sub-proof #712.
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18992) all_12_23 = e4 | all_12_24 = e4
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18992) gives:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18993) all_12_23 = e4
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (414), (14778), (18993) are inconsistent by
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #460.
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18994) all_12_24 = e4
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (410), (9342), (18994) are inconsistent by
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #184.
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | (18995) ~ (all_12_0 = e4)
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | REDUCE: (506), (18995) imply:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | (18996) ~ (all_4_0 = e4)
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (405) gives:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | (18997) all_12_0 = e4
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (18997) imply:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | (18998) all_4_0 = e4
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18996), (18998) imply:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | (18999) $false
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18999) is inconsistent.
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | (19000) all_12_2 = e4 | all_12_6 = e4 | all_12_12 = e4 |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | all_12_20 = e4
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | (19001) all_8_0 = e4
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (564), (18996), (19001) are inconsistent by
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #706.
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | (19002) all_8_0 = e3 | all_8_0 = e2 | all_8_0 = e1 |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | all_8_0 = e0
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | (19003) all_8_15 = e4
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (570), (19003) imply:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | (19004) all_4_9 = e4
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (692), (19004) imply:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | (19005) ~ (all_4_23 = e4)
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (19005) implies:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | (19006) ~ (all_4_23 = e4)
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (23), (29), (35), (66), (400), (401), (404),
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | (410), (430), (470), (506), (564), (658), (736),
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | (765), (9342), (12555), (13180), (15546), (15552),
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | (19002), (19006), (function-axioms) are
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #15.
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | (19007) ~ (all_8_15 = e4)
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (570), (19007) imply:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | (19008) ~ (all_4_9 = e4)
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19000) gives:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | (19009) all_12_2 = e4
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (15545), (19009) are inconsistent by
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #695.
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | (19010) all_12_6 = e4 | all_12_12 = e4 | all_12_20 = e4
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (23), (29), (35), (66), (400), (401), (404),
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | (446), (506), (564), (657), (665), (685), (9342),
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | (15531), (15546), (15552), (19002), (19008),
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | (19010), (function-axioms) are inconsistent by
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #142.
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.51 | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | End of split
% 181.81/27.51 | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | End of split
% 181.81/27.51 | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | End of split
% 181.81/27.51 | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | End of split
% 181.81/27.51 | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | End of split
% 181.81/27.51 | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | End of split
% 181.81/27.51 | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | End of split
% 181.81/27.51 | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | Case 2:
% 181.81/27.51 | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | (19011) ~ (all_8_8 = e4)
% 181.81/27.51 | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | REDUCE: (595), (19011) imply:
% 181.81/27.51 | | | | | | | | | | | | (19012) ~ (all_4_12 = e4)
% 181.81/27.51 | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | BETA: splitting (391) gives:
% 181.81/27.51 | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | Case 1:
% 181.81/27.51 | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | (19013) all_12_2 = e4
% 181.81/27.51 | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | COMBINE_EQS: (486), (19013) imply:
% 181.81/27.51 | | | | | | | | | | | | | (19014) all_4_1 = e4
% 181.81/27.51 | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | SIMP: (19014) implies:
% 181.81/27.51 | | | | | | | | | | | | | (19015) all_4_1 = e4
% 181.81/27.51 | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | COMBINE_EQS: (512), (19015) imply:
% 181.81/27.51 | | | | | | | | | | | | | (19016) all_10_51 = e4
% 181.81/27.51 | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | REDUCE: (667), (19015) imply:
% 181.81/27.51 | | | | | | | | | | | | | (19017) ~ (all_4_0 = e4)
% 181.81/27.51 | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | REDUCE: (678), (19015) imply:
% 181.81/27.51 | | | | | | | | | | | | | (19018) ~ (all_4_3 = e4)
% 181.81/27.51 | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | SIMP: (19018) implies:
% 181.81/27.51 | | | | | | | | | | | | | (19019) ~ (all_4_3 = e4)
% 181.81/27.51 | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | REDUCE: (675), (19015) imply:
% 181.81/27.51 | | | | | | | | | | | | | (19020) ~ (all_4_4 = e4)
% 181.81/27.51 | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | SIMP: (19020) implies:
% 181.81/27.51 | | | | | | | | | | | | | (19021) ~ (all_4_4 = e4)
% 181.81/27.51 | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | REDUCE: (679), (19015) imply:
% 181.81/27.51 | | | | | | | | | | | | | (19022) ~ (all_4_7 = e4)
% 181.81/27.51 | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | SIMP: (19022) implies:
% 181.81/27.51 | | | | | | | | | | | | | (19023) ~ (all_4_7 = e4)
% 181.81/27.51 | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | REDUCE: (676), (19015) imply:
% 181.81/27.51 | | | | | | | | | | | | | (19024) ~ (all_4_9 = e4)
% 181.81/27.51 | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | SIMP: (19024) implies:
% 181.81/27.51 | | | | | | | | | | | | | (19025) ~ (all_4_9 = e4)
% 181.81/27.51 | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | REDUCE: (681), (19015) imply:
% 181.81/27.51 | | | | | | | | | | | | | (19026) ~ (all_4_19 = e4)
% 181.81/27.51 | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | REDUCE: (65), (19015) imply:
% 181.81/27.51 | | | | | | | | | | | | | (19027) op(e4, all_4_2) = e4
% 181.81/27.51 | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | REDUCE: (768), (19015) imply:
% 181.81/27.51 | | | | | | | | | | | | | (19028) op(e4, e4) = all_10_5
% 181.81/27.51 | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | REDUCE: (64), (19015) imply:
% 181.81/27.51 | | | | | | | | | | | | | (19029) op(all_4_2, e4) = e3
% 181.81/27.51 | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_0,
% 181.81/27.51 | | | | | | | | | | | | | all_10_5, e4, e4, simplifying with (41), (19028)
% 181.81/27.51 | | | | | | | | | | | | | gives:
% 181.81/27.51 | | | | | | | | | | | | | (19030) all_10_5 = all_4_0
% 181.81/27.51 | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_26,
% 181.81/27.51 | | | | | | | | | | | | | e4, all_4_2, e4, simplifying with (793), (19027)
% 181.81/27.51 | | | | | | | | | | | | | gives:
% 181.81/27.51 | | | | | | | | | | | | | (19031) all_10_26 = e4
% 181.81/27.51 | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | BETA: splitting (329) gives:
% 181.81/27.51 | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | Case 1:
% 181.81/27.51 | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | (19032) all_10_50 = e4
% 181.81/27.51 | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | REF_CLOSE: (508), (19017), (19032) are inconsistent by
% 181.81/27.51 | | | | | | | | | | | | | | sub-proof #631.
% 181.81/27.51 | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | Case 2:
% 181.81/27.51 | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | (19033) ~ (all_10_50 = e4)
% 181.81/27.51 | | | | | | | | | | | | | | (19034) all_10_51 = e3 | all_10_52 = e2 | all_10_53 = e1 |
% 181.81/27.51 | | | | | | | | | | | | | | all_10_54 = e0
% 181.81/27.51 | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 181.81/27.51 | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | Case 1:
% 181.81/27.51 | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | (19035) all_8_10 = e4
% 181.81/27.51 | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | REF_CLOSE: (568), (19021), (19035) are inconsistent by
% 181.81/27.51 | | | | | | | | | | | | | | | sub-proof #781.
% 181.81/27.51 | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | Case 2:
% 181.81/27.51 | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | (19036) all_8_10 = e3 | all_8_10 = e2 | all_8_10 = e1 |
% 181.81/27.51 | | | | | | | | | | | | | | | all_8_10 = e0
% 181.81/27.51 | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 181.81/27.51 | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | Case 1:
% 181.81/27.51 | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | (19037) all_8_15 = e4
% 181.81/27.51 | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | REF_CLOSE: (570), (19025), (19037) are inconsistent by
% 181.81/27.51 | | | | | | | | | | | | | | | | sub-proof #782.
% 181.81/27.51 | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | Case 2:
% 181.81/27.51 | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | (19038) ~ (all_8_15 = e4)
% 181.81/27.51 | | | | | | | | | | | | | | | | (19039) all_8_15 = e3 | all_8_15 = e2 | all_8_15 = e1 |
% 181.81/27.51 | | | | | | | | | | | | | | | | all_8_15 = e0
% 181.81/27.51 | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 181.81/27.51 | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | Case 1:
% 181.81/27.51 | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | (19040) all_8_0 = e4
% 181.81/27.51 | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | REF_CLOSE: (564), (19017), (19040) are inconsistent by
% 181.81/27.51 | | | | | | | | | | | | | | | | | sub-proof #706.
% 181.81/27.51 | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | Case 2:
% 181.81/27.51 | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | (19041) ~ (all_8_0 = e4)
% 181.81/27.51 | | | | | | | | | | | | | | | | | (19042) all_8_0 = e3 | all_8_0 = e2 | all_8_0 = e1 |
% 181.81/27.51 | | | | | | | | | | | | | | | | | all_8_0 = e0
% 181.81/27.51 | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | BETA: splitting (406) gives:
% 181.81/27.51 | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | Case 1:
% 181.81/27.51 | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | (19043) all_12_0 = e4
% 181.81/27.51 | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (19043) imply:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | (19044) all_4_0 = e4
% 181.81/27.51 | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | REDUCE: (19017), (19044) imply:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | (19045) $false
% 181.81/27.51 | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | CLOSE: (19045) is inconsistent.
% 181.81/27.51 | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | Case 2:
% 181.81/27.51 | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | (19046) all_12_1 = e4 | all_12_4 = e4 | all_12_9 = e4 |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | all_12_16 = e4
% 181.81/27.51 | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | BETA: splitting (376) gives:
% 181.81/27.51 | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | Case 1:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | (19047) all_12_9 = e4
% 181.81/27.51 | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (19047) imply:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | (19048) all_4_10 = e4
% 181.81/27.51 | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | SIMP: (19048) implies:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | (19049) all_4_10 = e4
% 181.81/27.51 | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (528), (19049) imply:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | (19050) all_10_65 = e4
% 181.81/27.51 | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | REDUCE: (702), (19049) imply:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | (19051) ~ (all_4_2 = e4)
% 181.81/27.51 | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | REDUCE: (726), (19049) imply:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | (19052) ~ (all_4_5 = e4)
% 181.81/27.51 | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | REDUCE: (744), (19049) imply:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | (19053) ~ (all_4_15 = e4)
% 181.81/27.51 | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | SIMP: (19053) implies:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | (19054) ~ (all_4_15 = e4)
% 181.81/27.51 | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | REDUCE: (795), (19049) imply:
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | (19055) op(e4, e4) = all_10_28
% 181.81/27.51 | | | | | | | | | | | | | | | | | | |
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_0,
% 181.81/27.51 | | | | | | | | | | | | | | | | | | | all_10_28, e4, e4, simplifying w